Cellular concepts

38
UNIT-3 THE CELLUAR CONCEPT Dr.Vrince Vimal, MIT, MIET GROUP, MEERUT 1 05/30/2022

description

This slide is covering cellular concepts like Frequency reuse, splitting handoff etc

Transcript of Cellular concepts

Page 1: Cellular concepts

04132023 1

UNIT-3

THE CELLUAR CONCEPT

DrVrince Vimal MIT MIET GROUP MEERUT

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 2

Cellular Systems--Cellular Concepts The cellular concept was a major breakthrough in solving the

problem of spectral congestion and user capacity It offered very high capacity in a limited spectrum allocation without any major technological changes

The cellular concept has the following system level ideas

Replacing a single high power transmitter with many low power transmitters each providing coverage to only a small area

Neighboring cells are assigned different groups of channels in order to minimize interference

The same set of channels is then reused at different geographical locations

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 3

When designing a cellular mobile communication system it is important to provide good coverage and services in a high user-density area

Reuse can be done once the total interference from all users in the cells using the same frequency (co-channel cell) for transmission suffers from sufficient attenuation Factors need to be considered include

Geographical separation (path loss)

Shadowing effect

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 4

Cell Footprint

The actual radio coverage of a cell is known as the cell footprint

Irregular cell structure and irregular placing of the transmitter may be acceptable in the initial system design However as traffic grows where new cells and channels need to be added it may lead to inability to reuse frequencies because of co-channel interference

For systematic cell planning a regular shape is assumed for the footprint

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 5

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 6

Frequency reuse Cellular system depends upon intelligent allocation and reuse

of channels Each BS is allocated separate group of channels to be used in

small geographic region called as CELL Adjacent cells are allocated separate group of channels BS antenna are designed to provide coverage to particular

cell By doing this same group of channels can be used again in

separate cells physically at large distance from cell containing those channels by very well keeping interference within tolerable limits

This design process of selecting and allocating the channels of CBS within system is called as frequency reuse

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 2: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 2

Cellular Systems--Cellular Concepts The cellular concept was a major breakthrough in solving the

problem of spectral congestion and user capacity It offered very high capacity in a limited spectrum allocation without any major technological changes

The cellular concept has the following system level ideas

Replacing a single high power transmitter with many low power transmitters each providing coverage to only a small area

Neighboring cells are assigned different groups of channels in order to minimize interference

The same set of channels is then reused at different geographical locations

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 3

When designing a cellular mobile communication system it is important to provide good coverage and services in a high user-density area

Reuse can be done once the total interference from all users in the cells using the same frequency (co-channel cell) for transmission suffers from sufficient attenuation Factors need to be considered include

Geographical separation (path loss)

Shadowing effect

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 4

Cell Footprint

The actual radio coverage of a cell is known as the cell footprint

Irregular cell structure and irregular placing of the transmitter may be acceptable in the initial system design However as traffic grows where new cells and channels need to be added it may lead to inability to reuse frequencies because of co-channel interference

For systematic cell planning a regular shape is assumed for the footprint

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 5

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 6

Frequency reuse Cellular system depends upon intelligent allocation and reuse

of channels Each BS is allocated separate group of channels to be used in

small geographic region called as CELL Adjacent cells are allocated separate group of channels BS antenna are designed to provide coverage to particular

cell By doing this same group of channels can be used again in

separate cells physically at large distance from cell containing those channels by very well keeping interference within tolerable limits

This design process of selecting and allocating the channels of CBS within system is called as frequency reuse

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 3: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 3

When designing a cellular mobile communication system it is important to provide good coverage and services in a high user-density area

Reuse can be done once the total interference from all users in the cells using the same frequency (co-channel cell) for transmission suffers from sufficient attenuation Factors need to be considered include

Geographical separation (path loss)

Shadowing effect

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 4

Cell Footprint

The actual radio coverage of a cell is known as the cell footprint

Irregular cell structure and irregular placing of the transmitter may be acceptable in the initial system design However as traffic grows where new cells and channels need to be added it may lead to inability to reuse frequencies because of co-channel interference

For systematic cell planning a regular shape is assumed for the footprint

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 5

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 6

Frequency reuse Cellular system depends upon intelligent allocation and reuse

of channels Each BS is allocated separate group of channels to be used in

small geographic region called as CELL Adjacent cells are allocated separate group of channels BS antenna are designed to provide coverage to particular

cell By doing this same group of channels can be used again in

separate cells physically at large distance from cell containing those channels by very well keeping interference within tolerable limits

This design process of selecting and allocating the channels of CBS within system is called as frequency reuse

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 4: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 4

Cell Footprint

The actual radio coverage of a cell is known as the cell footprint

Irregular cell structure and irregular placing of the transmitter may be acceptable in the initial system design However as traffic grows where new cells and channels need to be added it may lead to inability to reuse frequencies because of co-channel interference

For systematic cell planning a regular shape is assumed for the footprint

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 5

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 6

Frequency reuse Cellular system depends upon intelligent allocation and reuse

of channels Each BS is allocated separate group of channels to be used in

small geographic region called as CELL Adjacent cells are allocated separate group of channels BS antenna are designed to provide coverage to particular

cell By doing this same group of channels can be used again in

separate cells physically at large distance from cell containing those channels by very well keeping interference within tolerable limits

This design process of selecting and allocating the channels of CBS within system is called as frequency reuse

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 5: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 5

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 6

Frequency reuse Cellular system depends upon intelligent allocation and reuse

of channels Each BS is allocated separate group of channels to be used in

small geographic region called as CELL Adjacent cells are allocated separate group of channels BS antenna are designed to provide coverage to particular

cell By doing this same group of channels can be used again in

separate cells physically at large distance from cell containing those channels by very well keeping interference within tolerable limits

This design process of selecting and allocating the channels of CBS within system is called as frequency reuse

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 6: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 6

Frequency reuse Cellular system depends upon intelligent allocation and reuse

of channels Each BS is allocated separate group of channels to be used in

small geographic region called as CELL Adjacent cells are allocated separate group of channels BS antenna are designed to provide coverage to particular

cell By doing this same group of channels can be used again in

separate cells physically at large distance from cell containing those channels by very well keeping interference within tolerable limits

This design process of selecting and allocating the channels of CBS within system is called as frequency reuse

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 7: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 7

A cellular system which has a total of S duplex channels

S channels are divided among N cells with each cell uses unique and disjoint channels

If each cell is allocated a group of k channels then S = k N

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 8: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 8

Terminologybull Cluster size The N cells which collectively use the

complete set of available frequency is called the cluster size

bull Co-channel cell The set of cells using the same set of frequencies as the target cell

bull Interference tier A set of co-channel cells at the same distance from the reference cell is called an interference tier The set of closest co-channel cells is call the first tier There is always 6 co-channel cells in the first tier

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 9: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 9

Co-ordinates for hexagonal cellular geometry

bull With these co-ordinates an array of cells can be laid out so that the center of every cell falls on a point specified by a pair of integer co-ordinates

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 10: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 10

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 11: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 11

Designing a cellular system

bull N=19bull (i=3 j=2)

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 12: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 12

Designing a cellular system

bull The cluster size must satisfy N = i2 + ij + j2 where i j are non-negative integers

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 13: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 13

bull Can also verify that

where Q is the co-channel reuse ratio

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 14: Cellular concepts

Problem

bull Total 33 MHz bw allocated to a FDD cellular system which uses 25 kHz simplex channels to provide full duplex voice and control channels Find the number of channels available per cell if a system uses a) four-cell reuse b) 7-cell reuse If 1 MHz of the allocated spectrum is dedicated to control channels find an equitable distribution of control channels amp voice channels

bull Total bw = 33 MHzndash Channel bw = 2 X 25khz = 50 khz ndash Total available channels S = 33 00050 = 660 channels

bull For N=4ndash Total no of ch per cell k = 6604 = 165 channels

bull For N = 7ndash Total no of ch per cell k = 6607 = 95 channels

bull 1MHz for control channels ie 100050 = 20 control channels So only 640 channels (660-20) would be allotted for voice

bull For N = 4 ndash 5 control ch + 160 voice ch per cell

bull For N =7ndash 4 cells with (3 control ch + 92 voice ch) amp 2 cells with (3 control + 90 voice ch) amp 1 cell with (2 control

ch + 92 voice channels)ndash Each cell with 1 control ch and 4 cells with 91 voice ch and 3 cells with 92 voice ch

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 15: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 15

Handover Handoff

Occurs as a mobile moves into a different cell during an existing call or when going from one cellular system into another

It must be user transparent successful and not too frequent

Not only involves identifying a new BS but also requires that the voice and control signals be allocated to channels associated with the new BS

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 16: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 16

Once a particular signal level Pmin is specified as the minimum usable signal for acceptable voice quality at the BS receiver a slightly stronger signal level PHO is used as a threshold at which a handover is made

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 17: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 17

bull =handoff threshold -Minimum acceptablesignal to maintain the callbull too smallndash Insufficient time to complete handoff before call is lostndash More call losses

bull too largendash Too many handoffsndash Burden for MSC

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 18: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 18

Dwell Time

The time over which a user remains within one cell is called the dwell time

The statistics of the dwell time are important for the practical design of handover algorithms

The statistics of the dwell time vary greatly depending on the speed of the user and the type of radio coverage

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 19: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 19

Handover indicator

Each BS constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the BS This information is forwarded to the MSC who makes decisions regarding handover

Mobile assisted handover (MAHO) The mobile station measures the received power from surrounding BSs and continually reports the results of these measurements to the serving BS

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 20: Cellular concepts

Practical handover

bull The Umbrella Cell approach will help to solve this problems High speed users are serviced by large (macro) cells while low speed users are handled by small (micro) cells

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 21: Cellular concepts

Practical handoverbull A hard handover does ldquobreak before makerdquo

ie The old channel connection is broken before the new allocated channel connection is setup This obviously can cause call dropping

bull In soft handover we do ldquomake before breakrdquo ie The new channel connection is established before the old channel connection is released This is realized in CDMA where also BS diversity is used to improve boundary condition

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 22: Cellular concepts

Interference and System Capacity

bull In a given coverage area there are several cells that use the same set of frequencies These cells are called co-channel cells The interference between signals from these cells is called co-channel interference

bull If all cells are approximately of the same size and the path loss exponent is the same throughout the coverage area the transmit power of each BS is almost equal We can show that worse case signal to co-channel interference is independent of the transmitted power It becomes a function of the cell radius R and the distance to the nearest co-channel cell Drsquo

bull On control channel If leads to missed or block calls

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 23: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 23

In urban areas more severe due high RF noise floor

The 2 major types are

Co-Channel interference

Adjacent channel interfernce

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 24: Cellular concepts

04132023 DrVrince Vimal MIT MIET GROUP MEERUT 24

Interference and System Capacity

Q- Co-Channel reuse ratio is given by-

Let i0 is the no of co- channel nterfering cells than

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 25: Cellular concepts

ndash Received power at a distance d from the transmitting antenna is approximated by

ndash Useful signal at the cell boundary is the weakest given by Pr (R) Interference signal from the co-channel cell is given to be Pr (D ) prime

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 26: Cellular concepts

Interference and System Capacityndash Drsquo is normally

approximated by the base station separation between the two cells D unless when accuracy is needed Hence

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 27: Cellular concepts

Interference and System Capacity

bull For the forward link a very general case

where Di is the distance of the ith interfering cell from the mobile i0 is the total number of co-channel cells exist

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 28: Cellular concepts

Interference and System Capacity

bull If only first tier co-channel cells are considered then i0 = 6

Unless otherwise stated normally assuming Di asymp D for all i

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 29: Cellular concepts

Outage probabilitybull The probability that a mobile station does not receive a

usable signalbull For GSM this is 12 dB and for AMPS this is 18 dB If

there is 6 co-channel cells then

bull Exercise please verify thisndash For n=4 a minimum cluster size of N=7 is needed to meet the

SIR requirements for AMPSndash For n=4 a minimum cluster size of N=4 is required to meet the

SIR requirements for GSM

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 30: Cellular concepts

Outage probability

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 31: Cellular concepts

Outage probability

bull Approximation in distance has been made on the 2nd tier onwards

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 32: Cellular concepts

Outage probability

bull More accurate SIR can be obtained by computing the actual distance

bull Our computation of outage only based on path loss For more accurate modeling shadowing and fast fading need to be taken into consideration This will not be covered in this course

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 33: Cellular concepts

Coverage Problemsbull Revision

ndash Recall that the mean measured value

ndash Measurement shows that at any value of d the path loss PL(d) at a particular location is random and distributed log-normally (normal in dB) about this mean value

Pr (d)dB = Pr (d)dB + Xσwhere Xσ is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ(in dB)

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 34: Cellular concepts

Boundary coveragebull There will be a proportion of locations at distance R (cell radius) where a

terminal would experience a received signal above a threshold γ (γ is usually the receiver sensitivity)

bull where Q(x) is the standard normal distribution

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 35: Cellular concepts

Cell coveragebull Proportion of locations within the area defined by the cell

radius R receiving a signal above the threshold γ

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 36: Cellular concepts

Cell coverage Solution can be found using the graph provided (n path loss exponent)

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 37: Cellular concepts

Cell coveragebull Example if n=4 σ=8 dB and if the boundary is to have

75 coverage (75 of the time the signal is to exceed the threshold at the boundary) then the area coverage is equal to 94

bull If n=2 σ=8 dB and if the boundary is to have 75 coverage then the area coverage is equal to 91

bull 1048713 An operator needs to meet certain coverage criteria This is typically the ldquo90 rulerdquo ndash 90 of a given geographical area must be covered for 90 of the time

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)
Page 38: Cellular concepts

Cell coveragebull The mean signal level at any distance is determined by path

loss and the variance is determined by the resulting fading distribution (log-normal shadowing Rayleigh fading Nakagami-m etc) In this course we will deal with log-normal shadowing only

bull The proportion of locations covered at a given distance (cell boundary for example) from BS can be found directly from the resultant signal pdfcdf

bull The proportion of locations covered within a circular region defined by a radius R (the cell area for example) can be found by integrating the resultant cdf over the cell area

  • UNIT-3
  • Cellular Systems--Cellular Concepts
  • Slide 3
  • Cell Footprint
  • Slide 5
  • Frequency reuse
  • Slide 7
  • Terminology
  • Co-ordinates for hexagonal cellular geometry
  • Slide 10
  • Designing a cellular system
  • Designing a cellular system (2)
  • Slide 13
  • Problem
  • Handover Handoff
  • Slide 16
  • Dwell Time
  • Handover indicator
  • Practical handover
  • Practical handover (2)
  • Interference and System Capacity
  • Slide 23
  • Interference and System Capacity (2)
  • Slide 25
  • Interference and System Capacity (3)
  • Interference and System Capacity (4)
  • Interference and System Capacity (5)
  • Outage probability
  • Outage probability (2)
  • Outage probability (3)
  • Outage probability (4)
  • Coverage Problems
  • Boundary coverage
  • Cell coverage
  • Cell coverage (2)
  • Cell coverage (3)
  • Cell coverage (4)