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Transcript of 04_3560_6220_Link Budget_E06
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Content
Overview: Principle Planning Steps & GSM/UMTS Differences
Input Requirements: Traffic, Quality of Service, Capacity, Coverage
Propagation Models
Dimension
Radio Link Budget
UL & DL Link Budget
Eb/No & Processing Gain
Power Control Headroom
Soft Handover Gain
Processing Gain
Effective Noise & Interference
Cell Range Calculation
Link Budget & Cel l Range Calculat ion
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Overview: Principle Planning Steps
A
Iu(PS) Gi
PS Core Network Planning
Iu(CS)
Gn
IurUE
(USIM)
Uu
GMSC
MSC
VLR
AuCHLREIRCSE
GGSNSGSN
IWF/TC
RNC
RNC
Iu
Node B
Iub
Node
BIub
Node B
CS Core Network Planning
Transmission Planning
Radio Network
Planning
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Overview: Principle Planning Steps
Source: ITU
General planning objectives:
To realize service(s) with
at minimum costs
maximum coveragemaximum capacity
maximum Quality of Service (QoS)
minimal interference
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Overview: Principle Planning Steps
Definition of system requirements:
Coverage requirement
Capacity requirement
Quality of Service requirement
Radio propagation
Output for first dimensioning:
Rough number of base stations
Rough number of sites
Node B configurations
Transmission needs
First
Dimensioning
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Overview: Principle Planning Steps
Input for detailed planning:
Coverage requirement
Capacity requirement
Quality of Service requirement
Radio propagation
Output for detailed planning:
Selection of sites
Node B configurations
Coverage analysis
Capacity analysis
Quality of Service analysis
RR parameters for cells+
First Dimensioning
Detailed
Coverage &
Capacity Planning
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Overview: Principle Planning Steps
Input for optimization
Performance Measurements
Drive Tests
Customer Complains
Output for optimization
Physical parameter adjustment
Data base (e.g. RR) parameter
adjustment
Network Optimization
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Overview: Principle Planning Steps
First Dimensioning
Detailed Coverage andCapacity Planning
Optimization
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Notice and additional remarks
Principle planning steps
1) Basic planning data acquisition (data about:expected traffic load & planned service area) f i rs t d im ension ing
2) Terrain data acquisition& installation of a
digital terrain database(including topographical &
morphological data) into a planning tool
3) Coarse coverage and capacity prediction andinitial site determination for a first site selection
processusing the digital terrain data, standard
propagation models & predicted service usage
4) Site survey & s ite select ion
5) Survey measurements(to fine tune the
propagation models)
6) Detailed network design(to determine final
network structure: Number and configuration of
Node Bs and RNCs; needed antennas and
transmission lines; frequency plan; future evolution
strategy)
7) Transmission planning
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Overview: Principle Planning Steps
General difference between
GSM andUMTS (WCDMA)
Planning Steps:
In GSMcoverage andcapacitycan be
planned independently:
1.) Coverage planning
2.) Capacity planning
In GSM frequency re-use distance
neighbor cells use different frequencies
In UMTScoverage & capacityare coupled:
Increasing load can decrease coverage
Coverage and capacity must be
planned simultaneously !!
In UMTS frequency re-use = 1
neighbor cells are interference coupled
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Overview: Principle Planning Steps & GSM/UMTS Differences
Input Requirements:
Traffic & Coverage
Quality of Service & Erlang Theory(Erlang B & C)
Capacity
Traffic, Quality of Service, Capacity, Coverage
Propagation Models Dimension
Radio Link Budget
Cell Range Calculation
Input Requirements
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Input Requirements
Traffic
Traffic forecast
Number of subscribers
Service types
Quality of service
Distribution of traffic
Capacity
Available frequency spectrum
Forecast of subscriber
penetration rateInformation about traffic density
Coverage (Path Loss)
Coverage regions
Information about area typePropagation conditions
Quality of Service
Area location probability(coverage probability)
Blocking probability
End user throughput
UE classes
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Notice and additional remarks
Traff ic Forecasting:
An important aspect in dimensioning a
telecommunication network is the expected trafficin the future. Therefore, an analysis of the
expected traffic is of great interest. Even in case
that the penetration (number of traffic sources)
saturates, the amount of traffic does not
necessarily saturates, too. Traffic forecasts are
not easy and may be influenced by many aspects:
e.g. price politics, offered services,
The more the important dependencies are
realized and taken into account, the more precise
the forecasts will be.
For a detailed analys isit is useful to:
Split the total PLMN into sub-areas
Categorize the subscribers: e.g. into business,residential,
Analyse: e.g. the number of subscribers per area,
the development of the penetration depth, the
expected penetration depth
Analyse also economic dependencies like e.g.
any correlation between the demand of telephone
service and e.g. the economic activities in a special
region, the economic situation in general (measurede.g. by the economic growth), the income of the
people,
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Notice and additional remarks
Traff ic Measurements:
It is of great interest for the network operator to
measure the real traffic situationin his network.To perform such measurements, in former
telecommunication systems special traffic
measurement equipment (e.g. the so called
electromechanical meter) was needed. Since in
the meantime most telecommunication systems
are digital, this kind of equipment is not needed
any more: The call and device concerning data
are stored in the memory of the systemprocessor. It is only a question of software to read
them out.
The traffic measurements are usually part of the
so called Performance Data Measurements.
Performance Data Measurementscan be run
continuously, periodically or sporadically, for a long
time or a short time, observing smaller or greaterparts of the network.
Concerning the traffic measurements, either special
events are counted (e.g. the number of successful
calls, the number of lost calls, ...) or special time
intervals are recorded (e.g. holding times, waiting
times,...).
The corresponding counters could in principle be
actualised continuously during the observationperiod, but mostly a scanning method is used.
Scanning methodmeans that the system counts the
number of events not continuously but only at
particular times. This leads to some uncertainty for
the measurement results. Nevertheless, the error
performed can be estimated using statistical
methods. In general, the smaller the scanning
interval the higher the precision of the measurement.Typical scanning intervals are 100 ms or 500 ms.
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Input Requirements: Traffic & Coverage
Traffic: No. of Subscriber & Service Types
Number of subscribers for each service type
Forecasts of new applications and which service type they will use
Availabilityof service types / quality of service in different network areas
Voice: 12kbps
in whole network
Data: 64kbps
in suburban areas
Data: 144kbps
in urban areas
Data: 384kbps
in business areas
Data: 2048kbps
In-door, buildings
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Input Requirements: Traffic
Traffic
busy hour traffic per subscriber for different bit rates
Voice:
- Bit Rate
- Voice activity: Erlang /
subscriberduring busy hour
Real time (RT) data:
- Bit rates for services
- Erlang /subscriber
during busy hour
Non real time (NRT) data:
- Target bit rates
- Mean Throughput in kbps /
subscriberduring busy hour
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Input Requirements: Traffic & Coverage
Traffic Distribution:
Time Dependency
0 12 24 hours0 %
100 %
50 %
Districts:polygons
Cluttertypes
Distribution of Traffic: predicted using clutter & districtsDistribution of traffic depends on:
Districts: polygons with statistics on population, business,...
Clutter typesfor traffic distribution within districts
(DU, U, SU, Rural, dense forest, open area, water)
Traffic Distribution:
Location Dependency
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Notice and additional remarks
Traff ic Distr ibution: Time Dependency
The traffic in a telecommunication network as a
function of time will not be constant but will showsignificant fluctuations. Variations of the traffic
during a single day, from day to day, for different
weekdays, or even for different seasons can be
observed. Also on a long time scale the averaged
traffic will not remain constant but will increase in
most telecommunication networks.
Traff ic Distr ibution : Location Dependency
The traffic in a telecommunication network
will not be location independent but will showsignificant location dependencies.
For example, in rural areas there will be less traffic
compared to city areas.
Distr ibution of Traff ic
Distribution of traffic depends on:
Distr icts: polygons with statistics on population,
business,...Clutter types for traffic distribution within districts
(e.g. dense urban DU, urban U, suburban SU, rural
R, dense forest, open area, water)Traffic per cell is predicted using clutter anddistricts
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Input Requirements: Traffic
Traffic
Distribution of traffic, not only planning of traffic in cell
Low interference High interference for neighbor cells
Increase of capacity needs dueto soft handover
Calculation of Eb/No in map
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Input Requirements: Quality of Service QoS
Quality of Service:
Service typesdepend on
Throughputrate and delay
Traffic classes(depending on sensitivity to delay):
Conversational Class
Streaming Class
Interactive ClassBackground Class
Blockingsystem (blocking probability)
Queuingsystem (user throughput)
Coverage for different service typescan be calculated by
- Margins
- Cell probabilities
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Input Requirements: Quality of Service QoS
Quality of Service: Margins
Load Factor of cell:
Required Eb/No
User bit rate
Other / own cell interference i (soft blocking)
Orthogonality of codes (DL)
Coverage probability:
Cell edgeprobability
Cell areaprobabilityLog-normal fading margin(based on 1 measurement &
required probabilities)
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Input Requirements: Quality of Service QoS
Quality of Service: Cell edge /cell area probabilities
The propagation conditions of electromagnetic waves in real environments are not stable, but
location (& time) dependent fluctuationsappear.
The radio network planner has to take this into account by working with probabilities, e.g. with the
coverage probability:
Cell edge probabilityCell area probability
Typical cell edge probabilitiesfor:
Very good coverage: 95%
Good coverage: 90%
Acceptable coverage: 75%
As will be discussed later, these values correspond to the following cell area probabilities:
Very good coverage: 99%
Good coverage: 97%
Acceptable coverage: 91%
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Input Requirements: Quality of Service QoS
Quality of Service:Area location probability (coverage probability)
Outdoor coverage,
Indoor coverage,
In car coverage
95 % Indoor for low rate
90 % Indoor for high rate
90 % in car
Location probability has big influence on amount of sites
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Input Requirements: Quality of Service QoS
Quality of Service:
Blocking probabilityfor real time services (circuit switched)
End user throughput(packet switched)
Dependent on
supported data rates
propagation conditions
T ffi Th E l Th
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Traffic Theory: Erlang Theory
Traffic Offered Traffic Carried
Traffic Lost
Telephone system:::KK
KK
KKKK
KK
KK
KK
L
JJJJ
JJJJ
JJJJ
KKKKKK
JJ
JJ
JJ
pure Loss System
pure Queuing System
(combined) Loss & Queuing System
Blocking probabilityB
A n
n= number of
Trunks
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Notice and additional remarks
Traff ic f low units :
In honour of A. K. Erlang (1878-1929),a Danishmathematician who was the founder of traffic
theory, the unit of the traffic flow (or traffic
intensity) is called Erlang (Erl).
The traffic flow is a measure of the size of the
traffic. Although the traffic flow is a dimensionless
quantity, the Erlang was assigned as unit of the
traffic flow in traffic theory.
By definition:
1 trunk occu pied for a duration t of a
consid ered period T carries t / T Erlang.
From this definition it follows already that the
traffic carried in Erlang cannot exceed the number
of trunks.
Several definitions can be given for the traffic flow:
Especially for traffic measurements it is useful toconsider the traffic flow as averaged number of
trunks which are occupied (busy) during a specified
time period:
Traff ic intensity= Mean number of busy trunks in a
time period
If this is a long time period, ongoing calls at thebeginning and at the end of this period can be
neglected. The traffic flow then can be considered as
call intensity (number of trunk occupations per time
unit) times the mean holding time (which is the
average holding time per trunk occupation):
Traff ic intensity= Call intensity x Mean holding
time
T ffi Th E l B F l
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Traffic Theory: Erlang B Formula
Assumptions:
Pure loss system
Infinite number of traffic sources
Finite number of devices (trunks) n
Full availability of all trunks
Exponentially distributed holding times
Constant call intensity, independent of the number of occupations
Time and call congestion are equal:
This formula is called Erlang`s formula of the first kind(or also Erlang loss formulaor Erlang
B formula).
n
i
i
n
n
i
A
n
A
AEBE
0
,1
!
!)(n: number of trunks
E = B = Blocking rate (%)
A: Attempt / offered traffic
N ti d dditi l k
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Notice and additional remarks
The Erlang B form ula
describes the congestion as function of the Traffic
Offered and the number of available trunks A.In real life the situation is mostly different. People
often want to calculate the number of needed
trunks nfor a certain amount of traffic offered and
a maximum defined congestion / blocking rate B.
That means the Erlang B formula must be
rearranged:
n = function o f (B andA)
This rearrangement cannot be done analytically
but only numerically and will be performed most
easily with the help of a computer. Another
possibility is the usage of special tables, namely
so called Erlang B look-up tables.
On the following page an example of such an Erlang
B look-up table is presented.
Traffic Theory: Erlang B Look up Table
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Traffic Theory: Erlang-B Look-up Table
Number of
trunks n
Offered Traffic A
forB=E=0.01
(1 % blocking)
Offered Traffic A
forB=E=0.03
(3 % blocking)
Offered Traffic A
forB=E=0.05
5 % blocking)
Offered Traffic A
forB=E=0.07
7 % blocking)
1
2
3
4
5
6
7
89
10
11
12
13
14
15
16
17
18
19
2021
22
23
24
25
0.01
0.15
0.46
0.87
1.36
1.91
2.50
3.133.78
4.46
5.16
5.88
6.61
7.35
8.11
8.88
9.65
10.44
11.23
12.0312.84
13.65
14.47
15.29
16.13
0.03
0.28
0.72
1.26
1.88
2.54
3.25
3.994.75
5.53
6.33
7.14
7.97
8.80
9.65
10.51
11.37
12.24
13.11
14.0014.89
15.78
16.68
17.58
18.48
0.05
0.38
0.90
1.53
2.22
2.96
3.74
4.545.37
6.22
7.08
7.95
8.84
9.37
10.63
11.54
12.46
13.39
14.31
15.2516.19
17.13
18.08
19.03
19.99
0.08
0.47
1.06
1.75
2.50
3.30
4.14
5.005.88
6.78
7.69
8.61
9.54
10.48
11.43
12.39
13.35
14.32
15.29
16.2717.25
18.24
19.23
20.22
21.21
Erlang B look-up table for an infinite number of traffic sources and full availability:
Traffic Theory: Erlang B Look up Table
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Traffic Theory: Erlang-B Look-up Table
Number of
trunks n
Offered Traffic A
for
B=E=0.01
(1 % blocking)
Offered Traffic A
for
B=E=0.03
(3 % blocking)
Offered Traffic A
for
B=E=0.05
5 % blocking)
Offered Traffic A
for
B=E=0.07
7 % blocking)
26
27
28
29
30
31
32
33
34
3536
37
38
39
40
41
42
43
44
45
4647
48
49
50
16.96
17.80
18.64
19.49
20.34
21.19
22.05
22.91
23.77
24.6425.51
26.38
27.25
28.13
29.01
29.89
30.77
31.66
32.54
33.43
34.3235.22
36.11
37.00
37.90
19.39
20.31
21.22
22.14
23.06
23.99
24.91
25.84
26.78
27.7128.65
29.59
30.53
31.47
32.41
33.36
34.30
35.25
36.20
37.17
38.1139.06
40.02
40.98
41.93
20.94
21.90
22.87
23.83
24.80
25.77
26.75
27.72
28.70
29.6830.66
31.64
32.62
33.61
34.60
35.58
36.57
37.57
38.56
39.55
40.5441.54
42.54
43.53
44.53
22.21
23.21
24.22
25.22
26.23
27.24
28.25
29.26
30.28
31.2932.31
33.33
34.35
35.37
36.40
37.42
38.45
39.47
40.50
41.53
42.5643.59
44.62
45.65
46.69
Exercise: Trunking Gain
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Exercise: Trunking Gain
Exercise: Use the Erlang Blook-up table to find out the meaning of trunking gain:
a)Which traffic offered can be handled by an Erlang B system assuming 32 trunks
and 1 % blocking?
b)Which traffic offered can be handled by 2 Erlang B systems for each assuming
16 trunksand 1 % blocking?
c)Which traffic offered can be handled by 4 Erlang B systems for each of them
assuming 8 trunksand 1 % blocking?
A = f(B,n)
a)A = 1 x f(1%, 32) = 22.05
b)A = 2 x f(1%, 16) = 17.76c)A = 4 x f(1%, 8) = 12.52
22.05
n: number of trunks
E = B= Blocking rate (%)
A: Attempt / offered traffic
Input Requirements: QoS
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Input Requirements: QoS
Quality of Service: UE classes
Input Requirements: QoS
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Input Requirements: QoS
Input Requirements: QoS
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Input Requirements: QoS
Input Requirements: Capacity
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Input Requirements: Capacity
Capacity:
Forecast of subscriber penetration rate
Maps about traffic density
Available frequency spectrum
Frequency [MHz]
1900 1920 1980 2010 2025 2110 2170
UMTS FDD (UL) UMTS FDD (DL)UMTS
TDD
UMTS
TDD
Licensed frequencies out of defined UMTS frequency band:
2 x 60 MHz paired band (FDD)
35 MHz unpaired (TDD)
Bandwidth: 5 MHz
UMTS Forum: min. 2x15 MHz + 1x5 MHz / operator
Propagation Models
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Overview: Principle Planning Steps & GSM/UMTS Differences
Input Requirements: Traffic, Quality of Service, Capacity, Coverage
Propagation Models
Dimension
Radio Link Budget
UL & DL Link Budget
Eb/No & Processing Gain Power Control Headroom
Soft Handover Gain
Processing Gain
Effective Noise & Interference
Cell Range Calculation
Propagation Models
Propagation Models
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Propagation Models
Coverage:
Coverage regions:
coverage areas may differ for different roll-out phase
Information about Area Types:
different clutter types, e.g.: dense urban, urban, suburban, rural,
dense forest, open area, water
Propagation conditions:
Path loss calculationusing standard Propagation Models
Correction factorsfor propagation models
Fading margins
....
Notice and additional remarks
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Notice and additional remarks
Radio wave propagation:
The radio wave propagation is described by
solutions of the Maxwell equations.
Exact solutions of the Maxwell equations are not
accessible for real space environment with
obstacles which give rise to reflections and
diffractions.
However, the full information provided by an exact
solution (e.g. exact polarization and phase of thefield strength) is mostly not needed.
What is needed is the the received power level.
What a Propagation Modelshould provide is the
attenuation of the power leveldue to the fact that the
signal propagates from the transmitter to thereceiver.
Radio Wave Propagation Models
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p g
Empirical models
Log distance path loss
COST Hata
Semi empirical models
COST Hata & knife edge
COST Walfish Ikegami
Deterministic models
Ray launching, ray tracing
Notice and additional remarks
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TECHCOMConsult ing
Notice and additional remarks
Empiric al & determinist ic models:
Empiric al mod elsare based on measurements.
Some empirical models (like the ITU model) are
curves derived from measurements. Others
summarize the measurements in formulas (like
the Okumura-Hata model) which fit the measured
data.
Such models are very simple to handle but also
usually rather imprecise. They are limited to
environments similar to the one where the
measurements were performed.
Determin ist ic modelsare based on simplifying
assumption for the general problem. This can be
a mathematical approximation of the original
problem (like the finite difference model). Or it can
be a simple model for a special situation of the
general problem (like the knife edge model).
Deterministic model can reach a very high precision,
but they suffer from a very high complexity.
Semi empirical modelsare a combination of
empirical models with deterministic models for
special situations (like knife edge models; Walfish-
Ikegami).
Propagation Models
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g
Received power:
PT
: Transmitted power
PR: Received power
nTRd
cPP
)lg()lg()lg(lg dAdncLP
P
T
R
101010Path loss L:
d: distance
n
T
R
dcP
P
0
0.2
0.4
0.6
0.8
1.0
2.5 5.0 7.5 10.0
n = Path Loss Exponent
c: constant
d: Distance [km]
Propagation Models
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0.0001
0.001
0.01
0.1
1
1 2 5 10
n=4
n=3
n=2
0
0.2
0.4
0.6
0.8
1.0
2.5 5.0 7.5 10.0
n=4
n=3
n=2
Received power level
as function of distance d
on linear scale.
nR d
P 1
Received power level
as function of distance d
on log scale.
nR d
P 1
Propagation Models
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2
4
d
PR
Example: Free space propagation (n = 2)
: wavelength in vacuum; , speed of light in vacuum
f : frequency in MHz
d : distance in km
The influence of the surface is neglected completely!
f
c
smc
81099792 .
dfL lglg. 20204432
Propagation Models
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n
R
d
dP
0
d0: reference distance 1kmfor macro cells or in the range of 1m - 100mfor micro cells;
should be always in the far field of the antennaL d0: reference path loss; to be measured at the reference distance.
Environment Exponent n
Free space 2
Urban area 2.7-3.5
Shadowed urban area 3-5
Obstructed in building 4-6Obstructed in factories 2-3
Log-distancepath loss model:
0
100
d
dnLL
d lg
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Propagation Models
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COST Hatamodel: clutter correction term c
suburban areas
rural areas
city center
The major difference between the Okumura Hata model is a modified dependence onfrequency and additional correction term for inner city areas
Both models, the Okumura Hata model and the COST Hata model can lead locally to substantial
deviation from the measured attenuation since these models are isotropic. Local properties of the
surface (big buildings, hills etc.) are not taken into account.
94.40)lg(33.18lg78.4
4.528
lg2
3
2
2
ffc
fc
c
Propagation Models
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Example:
For f = 1950MHz, hBS = 30m, hMS = 1,5mthe correction term for the dependence on hMS
can again be neglected. For the other terms of COST Hata model the insertion of the values
serves:
)lg(22.354.137 dcL
urban
COST Hata model:
Propagation Models
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COST Walfisch Ikegami model:
For a better accuracy in urban areasbuilding height and street width have to be taken into
account, at least as statistical parameters. Based on the Walfisch Bertoni propagation model forBS antennas place above the roof tops, the semi empirical COST Walfisch Ikegami model is a
generalisation including BS antennas placed below the roof tops.
Parameter range for this model:
Frequency f = 800 2000MHz
Height base station hBS= 4 50m
Height Mobile station hMS = 1 3m
Distance d = 0.02 5km
Further parameter:
Mean building height: hin m
Mean street width: win m
Mean building spacing: bin m
Mean angle between propagation path and street: in
Propagation Models
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b w
dBS
UE
hhBS
hMS
COST Walfisch Ikegami model:
BS
UE
w: Mean street width: [m]
b: Mean building spacing [m]
h: Mean building height [m]
: Mean angle between propagation path & street [
Propagation Models
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COST Walfisch Ikegami model:
With LOSbetween BS and UE:
)lg()lg(. dfLLOS
2620642
With non LOS:
,
,
0
0
L
LLL
L
msdrts
NLOS
0
0
msdrts
msdrts
LL
LL
free space propagation:
rtsL roof top to street diffraction and scatter loss:
00
00
0
9055
5535
350
OL
)lg()lg(. dfLO 20204432
LOS: Line-Of-Sight
,..
,..
,.
)lg()lg()lg(.
114004
075052
354010
201010916MSrts
hhfwL
Propagation Models
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COST Walfisch Ikegami model:
msdL multiscreen diffraction loss:
)lg()lg()lg( bfkdkkLL fdamsdmsd 91
hhBS
,.
,.
,
,
,.
)(.
),(.
,
,
),lg(
1925
704
1925704
1518
18
508054
8054
54
0
1181
f
f
k
h
hhk
dhh
hhk
hhL
f
BSd
BS
BSa
BS
msd
hhBS
hhBS
hhBS
hhBS
hhBS
hhBS 50.d
and
and
50.d
Medium sized cities and suburban centres
Metropolitan centres
Notice and additional remarks
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TECHCOMConsult ingCOST Walf isch Ikegami model:
Although also designed for BS antennas placed
below the mean building height the COSTWalfisch Ikegami model show often considerable
inaccuracies.
This is especially true in cities with an irregular
building pattern like in historical grown cities. Also
the model was designed for cities on a flat
ground. Thus for cities in a hilly environment the
model is not applicable.
Propagation Models
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Diffraction knife edge model:
Diffraction models apply for configurations where a large obstacle is in the propagation pathand
the obstacle is far away from the transmitter and the receiver, i.e.: and 21 ddh ,h
The obstacleis represented as an ideal conducting half plane (knife edge)
hMShBSd1
h
d2
Huygens secondary source
Propagation Models
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Diffraction knife edge model:
Huygens principle: all points of a wave front can be considered as a source for a
secondary waveletsum up the contributions of all wavelets starting in the half plane above the obstacle
Phase differences have to be taken into account (constructive and destructive interferences)
Difference between the direct path and the diffracted path,
the excess path length
Phase difference: with Fresnel Kirchhoff diffraction parameter.
Note: this derivation is also valid for
21
212
2 dd
ddh
2
2
2
21
212
dd
ddh
0h
Propagation Models
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Diffraction knife edge model:
Diffraction loss:
du
uii
E
EL
D
D
22
1
2020
2
0explglg)(
0E
DE
field strength obtained by free field propagation without diffraction (and ground effects).
diffracted field strength
Shadow border region:
)lg(.)(
20513
0D
L,
,
0
0
LOS region,
shadowed region
0h
The following mathematical approximations exist:
600
)(DL
LD: additional pathloss (diffraction loss)
Propagation Models
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Semi empirical models:
Semi empirical modelscombinedeterministic modelslike knife edgemodels with empirical
modelslike COST Hata.
The mentioned empirical models are only valid for a quasi flat surface. In combination with knife
edge models they can be extended to hilly surface or a mountain area.
The combination of empirical and deterministic models requires usually additional correction terms.
For the specific combination of models and their correction terms most user develop their own
solution which they calibrate with their measurements. .
Propagation Models
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Deterministic models:
Ray tracing and ray launching:
With the methods of geometrical optics all possible propagation paths from the transmitter
to the receiver are determined and summed up, i.e. there is a free space propagation from the
antenna to the first obstacle or from obstacle to obstacle and at the obstacle the ray is reflected or
diffracted until it reaches the antenna. The algorithm takes only rays with an adjustable maximum
number of reflections and diffractions.
With this method a very high precisionfor the prediction of the path loss can be obtained.
For this method a digital map with high accuracyis required.
For the reflection and diffraction attenuation factorshave to be specified which depend on the
building surface (e.g. glass or brick wall).
The algorithms are very complexand computer power consuming.
However, there are continuous improvements for hardware, software and algorithms.
Propagation Models
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Propagation model rural urban in-house
Log-distance path loss + 0 +
COST Hata + 0 -
COST Hata & knife edge + 0 -
COST Walfisch Ikegami - + -
Ray launching / Ray tracing 0 + +
Summary of the application areas of the different models:
Suitable prediction models for
Macro-, Micro-, and Pico- cells
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Dimensioning
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Overview: Principle Planning Steps & GSM/UMTS Differences
Input Requirements: Traffic, Quality of Service, Capacity, Coverage Propagation Models
Dimension
Radio Link Budget
UL & DL Link Budget
Eb/No & Processing Gain
Power Control Headroom
Soft Handover Gain
Processing Gain
Effective Noise & Interference
Cell Range Calculation
Dimensioning
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Initial Cell Count
PopulationVoice
PenetrationTarget
Data
PenetrationTarget
Voice Traffic
/Subscriber
Data Traffic
/Subscriber
Average speech rate Average data rate
Offered Traffic
RF Capacity
EstimationCapacity / CellUL budget Cell Range
Initial Cell Count
Dimensioning
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Cell Range Calculation: Evaluation of cell range:- Maximum loadof system
- Link budget
for subscriber at cell edge
Cell loading>,< or =
max. allowed
system load
=
Cell Range
Calculation of cell loadingusing
traffic profileand cell range
Using coverage limited cell range
Add carrier or
decrease cell radius
> < Decreasemaximum
system loadCapacity
limitation
Coverage
limitation
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Link Budget
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Overview: Principle Planning Steps & GSM/UMTS Differences
Input Requirements: Traffic, Quality of Service, Capacity, Coverage Propagation Models
Dimension
Radio Link Budget
UL & DL Link Budget
Eb/No & Processing Gain
Power Control Headroom
Soft Handover Gain
Processing Gain
Effective Noise & Interference
Cell Range Calculation
Link Budgets
Before dimensioning the radio network the link budget for different environments (indoor outdoor
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Before dimensioning the radio network, the link budget for different environments (indoor, outdoor,
in-car) must be considered.
From the link budget, the maximum allowable path losscan be derived.
Body Loss
Building (indoor)
penetration loss
Path Loss L
Losses/Margins: e.g.
(Fading) Margins
Gains: e.g.Soft Handover Gain,
Antenna Gain
Cable Losses Node B
Noise
figure
Tx
PowerRx Noise
Power
Tx Power+ Gains
Losses/Margins
Path Loss
Rx Noise Power
max. Path Loss L
Link Budgets
Power Level
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UE
Transmit
Power
UE Antenna gain
Feeder Losses
Body Loss +
Building Penetration Loss
Soft HOV gain
PC Headroom +Interference Margin +
Fading margin
Path Loss
L
Processing
Gain
BTS antenna
gain
Feeder Losses +
Combiner Losses...
Required Eb/No
Power Level
Receiver
Noise
Power
Link Budgets
Terms which enter the link budget:
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Transmitter
Maximum output power [dBm]
Feeder loss [dB]
Antenna gain [dBi]
EIRP [dBm]
DL Peak to Average Ratio [dB]
Receiver
Thermal Noise Density [dBm/Hz]
Receiver Noise Figure [dB]
Receiver Noise Density [dBm/Hz]
Receiver Noise Power [dBm]
Required Eb/No [dB]
Required Ec/Io [dB]
Antenna Gain [dBi]
Feeder Losses [dB]
Required Signal Power [dBm]
Isotropic Power [dBm]
Environment/Service
Processing Gain [dB]
Soft Handover Gain
Power Control Headroom [dB]
Interference Margin [dB]
Log-normal Fading Margin [dB]
Body Loss [dB]
Building (indoor) Penetration Loss [dB]
Path Loss [dB]
g
EIRP: Effective Isotropic Radiated Power
Link Budgets
Example of an UL link budget(UMTS): speech 12.2 kbps, slow moving (3 km/h)
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UE Maximum Output Power 21 dBm (1)
Feeder Losses 0 dB (2)
Antenna Gain 0 dBi (3)
Body Loss 3 dB (4)
EIRP 18 dBm (5) = (1)-(2)+(3)-(4)
Environment/ Soft Handover Gain + MDC Gain 2 + 0 dB (6a)+(6b) (urban, 90% cell edge probability)
Service Power Control Headroom 3 dB (7)
Processing Gain 25 dB (8)
Interference Margin [dB] 3 dB (9) (50% UL load )
Log-normal Fading Margin 10 dB (10) (urban = 8, 90% cell edge probability 97% cell area probability)
Building (indoor) Penetration Loss 0 dB (11)
Required Eb/No [dB] 4 dB (12)
Required Ec/Io -18 dB (13) = (12) - ( 6b) - (8) + (9)
Node B Thermal Noise Density -174 dBm/Hz (14)
Receiver Noise Figure 6 dB (15)
Receiver Noise Density -168 dBm/Hz (16) = (14) + (15)
Receiver Noise Power -102 dBm (17) = (16) + 10 x log10(3.84x106)
Feeder Losses 3 dB (18)Antenna Gain 18 dBi (19)
Required Signal Power -120 dBm (20) = (13)+(17)
Isotropic Power -124 dBm (21) = (20)+(18)-(19)-(6a)+(7)+(10)+(11)
Path Loss L 142 dB (5)-(21)
Link Budgets
Example of an DL link budget(UMTS): speech 12.2 kbps, slow moving (3 km/h)
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Node B neccessaryOutput Power 20 dBm (1)
Feeder Losses 3 dB (2)
Antenna Gain 18 dBi (3)
EIRP 35 dBm (5) = (1)-(2)+(3)Environment/ Soft Handover Gain + MDC Gain 2 + 1 dB (6a)+(6b) (urban, 90% cell edge probability)
Power Control Headroom 0 dB (7)
Processing Gain 25 dB (8)
Interference Margin [dB] 6 dB (9) (75% DL load )
Log-normal Fading Margin 10 dB (10) (urban = 8, 90% cell edge probability 97% cell area probability)
Building (indoor) Penetration Loss 0 dB (11)
Required Eb/No [dB] 7 dB (12)
Required Ec/Io -13 dB (13) = (12) - ( 6b) - (8) + (9)
UE Thermal Noise Density -174 dBm/Hz (14)
Receiver Noise Figure 8 dB (15)
Receiver Noise Density -166 dBm/Hz (16) = (14) + (15)
Receiver Noise Power -100 dBm (17) = (16) + 10 x log10(3.84x106)
Feeder Losses 0 dB (18)
Body Loss 3 dB (4)
Antenna Gain 0 dBi (19)
Required Signal Power -113 dBm (20) = (13)+(17)
Isotropic Power -105 dBm (21) = (20)+(18)-(19)-(6a)+(7)+(10)+(11)
DL Peak to Average Ratio 5 dB (22)
Path Loss L 142 dB (5)-(21)+(22) Balanced Link max. DL Path Loss max. UL Path Loss
Link Budget: Required Eb/No
Eb/No definition:
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Eb/No definition:
Eb: Energy per bit, No: total noise/interference of the cell
Eb/No is required to guarantee a minimum link quality.
UL Eb/No:
NoiseII
P
R
W
N
E
otherown
rb
0
W: bandwidth,i.e. chip rate
R: bit rate
Pr: received PowerIown: Interference from own cell
(excluding own signal)
Iother: Interference from other cells
Noise: total noise
: Orthogonality factor
DL Eb/No:
NoiseIIP
R
W
N
E
otherown
rb
10
Processing Gain
Link Budget: Required Eb/No
The higher the spreading factor i e the lower the bit rate the higher is the required Eb/No
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Service Required Eb/No [dB]
DL UL
Speech 12.2 kbps 7 4
Data 64 kbps (RT) 7 2
Data 64 kbps (NRT) 6 2
Data 144 kbps (NRT) 5.5 1.5
Data 384 kbps (NRT) 5 1
The higher the spreading factor,i.e. the lower the bit rate, the higher is the required Eb/No.
In DL interference of own cell reduced due to synchronized orthogonal codes.
Required Eb/No(DL) >required Eb/No(UL)
Eb/Nohas to be calculated for different servicesand concerning the speedof the mobile.
To keep a certain link quality for higher mobile speedthe carrier to interference ratio has to be
increased and therefore also Eb/No has to be increased.
Example:for slow moving mobile (3 km/h):
Source: ITU
Link Budget: Required Ec/Io
E /I i i
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Ec/Io is given as:
Ec/Io= Energy per chip / total power spectral density
UL Ec/Io:
NoiseII
P
N
E
W
R
I
E
otherown
r
o
bc
0
DL Ec/Io:
NoiseII
P
I
E
otherown
rc
0
Ec/Iocan be seen as link performance indicatorfor signals, which contain
no information bits (e.g. CPICH).
Notice and additional remarks
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TECHCOMConsult ingRequired Ec/Io can also be w rit ten as:
Required Ec/Io = required Eb/No - processing
gain + interference margin - soft handover gainfrom macro diversity (MDC)
Soft handover gain from macro diversity (MDC) is
only important for DL Ec/Io
The required Ec/Io is needed to give the minimum
carrier to interference ratio for the RF signal
based on the required Eb/No.
Link Budget: WCDMA/UMTS specific terms
Compared to GSM link budget there are some WCDMA specific parameters in the
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Compared to GSM link budget there are some WCDMA specific parametersin the
UMTS Link Budget:
Power Contro l headroom
Soft handover gain
Processing gain
Interference Margin
Soft Handover gain, Interference Margin, Power Control Headroom and Required
Eb/No are parameters, which have to be inserted by the planner.
For UMTS link budgets an isotropic path loss is assumed for calculation.
The link budget must be balanced between UL and DL.
The link budget calculation has to be done for each service / data rate (probably
asymmetric) separately.
The maximum load needs to be defined for dimensioning and calculating link budgets.
Link Budget: fast Power Control & PC Headroom
Gain of fast Power Control
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Gain of fast Power Control
Fast power control compensatesvery effectively fast fading(Rayleigh fading), because of the
quick adjustment of power control settings.
Example (ITU):
Simulation: service 8 kbps speech, FER = 1 %, 10 ms interleaving, PC step size = 1 dB,
ITU Pedestrian A: two-path channel, second tap is very weak
ITU Vehicular A: five-tap channel with WCDMA resolution,
Required Eb/No Slow power control Fast power control
(1.5 kHz)
Gain from fast power
control
ITU Pedestrian A 3 km/h 11.3 dB 5.5 dB 5.8 dB
ITU Vehicular A 3 km/h 8.5 dB 6.7 dB 1.8 dB
ITU Vehicular A 50 km/h 6.8 dB 7.3 dB - 0.5 dB
Link Budget: fast Power Control & PC Headroom
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Limits of fast power control:
PC Headroomor Fast Fading Margin Remark:Slow power control =
no power control in simulations =
correct average power
Gain of fast power control:
less Eb/No necessary (compared to Slow PC)
higher for slow moving mobiles
larger for less multipath diversity (pedestrian)
But:
Link Budget: PC Headroom / Fast Fading Margin
Margin against
Fast Fading
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20
UE moving tocell edge [sec]
0 1 2 3
dBm
-10
0
10
UE Tx
power
If maximum poweris reached increase of frame errors
(quality decrease) Eb/No target increases.
10
0 1 2 3
dB
5
15
Eb/No target
UE moving to
cell edge [sec]
UE Tx
power
Fast Fadingtyp. Value: 25 dB
TECHCOM C lt i
Notice and additional remarks
P C t l H d / F t F di M i
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TECHCOMConsult ingPower Control Headroom / Fast Fading Margin
Parameter in link budget to set a margin against
fast fading.Whereas in the cell area the closed loop fast
power control gives a gain especially for slow
moving mobiles, at the edge of the cell the
mobiles cannot achieve this gain because their
maximum output power is not high enough to
follow the fading dips.
Therefore a power control headroom (fastfading margin) is needed for slow moving mobiles.
Slow moving mobile can be the limiting factor of
coverage dimensioning.
Typical values are between 2 dB - 5 dB.
Link Budget: Fading & Fading Margins
Rice fading:dominant path exists
Fast Fading
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p
(usually LOS path)
Rayleigh fading:no dominant path
i.e. a non LOS situation.
Fast Fadingdue tomultipath propagation
compensationby Fast Power Contro
margin due to Fast Fading: PCHeadroom (or Fast Fading Margin).
Slow Fadingdue toshadowingcauses Slowor
Log-Normal Fading Margin
compensation SHO Margin
TECHCOM Consult ing
Notice and additional remarks
Fading occurs on different scales due to different b th b bilit f ti f th b l t l f
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TECHCOMConsult ingFading occurs on different scales due to different
causes. Fading appears statistically but different
fading types (Fast Fading & Slow Fading) obey
different probability distributions.Propagation models predict only the average value
of the receive level.
An extra marginhas to be added due the fading
effect.
The common question for all fading effects is: how
big to chose the margin such that the receive level
drops not below a given limit with a specified
probability?
Fast fadingappears due to multipath propagation.
The Rx level is affected by interferences due to
different path lengths in the multipath propagation.
The field strength at the receiver is the vector sum
of the fields corresponding to the different
propagation paths. Usually the fading is described
by the probability function for the absolute value of
the field strength. Fast Fading com pensationis
performed by Fast Power Contro l. Nevertheless, a
margin is needed due to Fast Fading: PC Headroom(or Fast Fading Margin).
Slow fadingdenote the variation of the local mean
signal strength on a longer time scale.
The most important reason for this effect is the
shadowingwhen a mobile moves around (e.g. in a
city).
Measurements have shown that the variation of thereceive level is a normal distribution on a log scalelog normal fading.The fading can be parameterized by adding a zero
mean Gaussian distributed random variable
The has to be determined by measurements.
XdLdL )()(
2
2
22
1
PPPX exp)(
X
Link Budget: Slow Fading
To compute the probability that the receive level exceeds a certain marginthe Gaussian
distribution has to be integrated This leads to the Q function:
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distribution has to be integrated. This leads to the Q function:
)(1)(
2
12
1
2exp
2
1)(
2
zQzQ
zerfdx
xzQ
z
z Q(z) z Q(z) z Q(z) z Q(z)
0.0 0.50000 1.0 0.15866 2.0 0.02275 3.0 0.00135
0.1 0.46017 1.1 0.13567 2.1 0.01786 3.1 0.00097
0.2 0.42074 1.2 0.11507 2.2 0.01390 3.2 0.00069
0.3 0.38209 1.3 0.09680 2.3 0.01072 3.3 0.00048
0.4 0.34458 1.4 0.08076 2.4 0.00820 3.4 0.00034
0.5 0.30854 1.5 0.06681 2.5 0.00621 3.5 0.00023
0.6 0.27425 1.6 0.05480 2.6 0.00466 3.6 0.00016
0.7 0.24196 1.7 0.04457 2.7 0.00347 3.7 0.00011
0.8 0.21186 1.8 0.03593 2.8 0.00256 3.8 0.00007
0.9 0.18406 1.9 0.02872 2.9 0.00187 3.9 0.00005
Q(z): Outage Areaz:Factor for calculation of
lognormal fading margin
Tabulationof the Q function
Link Budget: Slow or Log-Normal Fading
In a shadowing environment, the probability of a certain level as function of the level value follows
G i di t ib ti l ith i l
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a Gaussian distribution on a logarithmic scale.
In general, a Gaussian distributionis described by a mean valueand the standard deviation.
Level [dBm]
Probability
90%
m
Link Budget: Log-Normal Fading
From measurementsthe standard deviation1 sigma (LNF)in a certain environment.
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Typical measurementvalues (outdoor, indoor) are given in the following table:
Environment
LNF(o) LNF(i)
Dense urban
UrbanRural
10 dB
8 dB6 dB
9 dB
9 dB8 dB
Log-Normal Fading & Cell Edge Probability
To achieve a certain cell edge probability,
LNFmust be multiplied with a factor (z)given in the
following table:
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following table:
(Cell edge probability means the probability to have coverage at the border of the cell)
Cell edge probabilityin % Factorzfor calculation of
lognormal fading margin
50
55
60
65
7075
80
85
90
95
96
97
98
99
0.000
0.126
0.253
0.385
0.5240.674
0.842
1.036
1.282
1.645
1.751
1.881
2.054
2.326
Link Budget: Cell Edge & Cell Area Probability
Jakes formulagives a relation for the probability that a certain value Pmat the cell boundaryat
radius R is exceeded and the corresponding probability for the whole cell It is based on)(Pr P
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radius R is exceeded and the corresponding probability for the whole cell. It is based on
the log distance path loss model:
0
0 lg10)()(
d
dndLPdP TR
22
11
21exp)(1
2
1)(Pr
b
aberf
b
abaerfPmcell
)(Pr mcell P
2
)(RPPa Rm
2
)lg(10 enb
Integrating the
Gaussian distributionfunction over the
whole cell area
Delivers
cell area probabilities.
Some examples
are given in
the following table:
Cell edge probabilityin % Cell area probabilityin %
50
75
90
95
77
91
97
99
Link Budget: SHO & MDC Gain
SHO & MDC Gaingain againstSlow Fading
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R
NC
Node B Node BSofter handover
Combining(maximum ratio
combining)
Soft handover
Combining(selection combining)
required Eb/Noisreduced
Soft & Softer Handover gain
cannot be separated
SHO values:
UL: 05 dB; typically: 2 dB.
DL: 2 dB - 5 dB; typically: 2 dB
SHO MDC values:
UL: typically 0 dB(Frame Selection by RNC)
DL: typically 1 dB(MRC Combining by UE)
TECHCOMConsult ing
Notice and additional remarks
Soft Handover and Macro Diversity Combin ing UL: Typical values are 0 dB to 5 dB. Typical average
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MDC gain:
Soft or softer handover give a gain against slow
fading / log-normal fadingbecause
the mobile can select a better cell based on
minimal transmit power of UE.
Hard handover algorithm is based on geometrical
distance.
Additionally it gives a macro diversity gain in DL
against fast fading because by
using macro diversity combining the required
Eb/No is reduced.
Measurement of soft handover gain:
Gain in required Eb/No is measured relative to
single link.
Averaging is done over all radio links in the soft
handover area.
yp yp g
value 2 dB.
DL: Typical average value 2 dB - 5 dB.
Link Budget: SHO Gain
Soft handover gain dependencies:
UE I d / d ll f h d i l
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4.76.7?10 (dense urban)75 %
3.75.4?8 (urban)75 %
2.84.0?6 (rural)75 %
Soft handover gain
(50 % correlation)
Soft handover gain
(0 % correlation)
Log-normal
fading margin
Standard deviation
LNF(o)
Cell edge
probability
UE Indoor / outdoor smaller soft handover gain values
On area location probability (cell edge probability)
Standard deviation of the signal for environment (in log-normal fading)
Correlation between diversity paths
Example- Exercise:
Link Budget: Processing Gain
Processing gain (or spreading gain) is a CDMA specific gain because it is achieved
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from spreading the signal over the bandwidth , i.e. the chip rate, respectively.
The processing gain is calculated from:
Bitrate
ChipratePGain 10log10
Due to the chip rate is fixed in one system depending on the bandwidth
the processing gain is dependent on the given bit rates. In UMTS the chip rate 3.84 Mchip/s
Exercise:
Speech 12.2 kbps PGain= ?
Data 144 kbps PGain= ?
Data 384 kbps PGain= ?
PGain= 25 dB
PGain= 14.25 dB
PGain= 10 dB
Link Budget: Processing Gain
Required Eb/No= 4 dB(12.2 kbps)
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Signal
Power
time
Noise
Speech 12.2 kbps
Data 144 kbps
Data 384 kbps
Pgain = 25 dB
Required Eb/No= 1.5 dB(144 kbps)
Pgain = 14.25 dB
Required Eb/No= 1.0 dB(384 kbps)
Pgain = 10 dB
Ec/Io
Link Budget: Interference Margin
The Interference Marginis calculated from the UL and DL load factors:
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110 10LogIMargin
20
10
6
1.25
3
25% 50% 75% 99%
IMargin[dB]
Load factor
typically 25 % -75 %load
can be used in practice.
TECHCOMConsult ing
Notice and additional remarks
Interference margin:
This parameter in the link budget considers theThe Interference Margin is calculated from the UL
d DL l d f t
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This parameter in the link budget considers the
load in the cell which influences the coverage.
The more load is in a cell the higher has the
interference margin to be set because every useris an interferer to the others in a CDMA system.
More load leads and therefore higher interference
margin causes a smaller coverage area.
With the interference margin the load dependency
of the Node B sensitivity considered.
In coverage limited scenarios smaller values
(typically 1-3 dB for 20%- 50% loading) are
assumed for the interference margin because thelimitation of the cell size is determined by the
maximum path loss in link budget instead of the
capacity on air interface.
and DL load factors:
Interference Margin = - 10 x log ( 1- Load).
Link Budget: Noise Figurecalculations
Thermal Noise:
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At finite temperatures (T > 0K) every object is moving. E.g. the electrons in a
resistor move and create therefore a noise with a certain power, that can be shown
to be
Pn= kB* T * B, with kB=1.38*10-23J/K, B is the Bandwidth in Hz
Thermal Noise Density:
The thermal noise in a spectrum interval is the thermal noise density:
Pn/ B = kB* T, with kB=1.38*10-23J/K, B is the Bandwidth in Hz
Example:
Pn/ B = kB* T 4.14*10-21J -174 dBm/Hz , with T = 300 K
Pn 1.6*10-16W -108 dBm, with T = 300 K and B = 3.84 MHz
Link Budget: Noise Figure calculations
Receiver Noise Figure
The requirements for the receiver noise figure are set in the specifications for Node B and UE
Fehler
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The requirements for the receiver noise figure are set in the specifications for Node B and UE.
e.g. 6 dB/8 dB
Receiver Noise Density:
The receiver noise density is defined as the sum of thermal noise density and the receiver noise
figure
Receiver Noise Density = Thermal Noise density + Receiver Noise Figure
e.g. Receiver Noise Density = -174 dBm/Hz + 6 dB= -168 dBm/Hz
Rx Noise Power: Receiver Noise Spectral Density or Thermal Noise Floor:
Receiver noise spectral density is the sum of the thermal noise density over the used
bandwidth,i.e. chip rate, and the receiver noise figure
e.g. Receiver Noise Spectral Density = -174 dBm/Hz "* Bandwidth" + 6 dB== -174 dBm + 10 * log10(3.84*10
6) + 6 dB= -174 dBm + 66 dB+ 6 dB= -102 dBm
Link Budget: DL Peak to Average Ratio
DL Peak to Average Ratioor Isotropic Path Loss IPL CorrectionFactor: The correction
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factor is needed because not all mobiles are at the center or at the edge of the cell. It is defined
as ratio between the maximum path loss and the average path loss. A maximum path loss will
occur if the mobile is at the cell edge and the the Node B transmits to this UE. This ratio is
calculated using a simulation for typical UE distributionsthroughout the cell depending on the
used service.
highest ratio smaller ratio
Overview: Principle Planning Steps & GSM/UMTS Differences
Cell Range Calculation
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Overview: Principle Planning Steps & GSM/UMTS Differences
Input Requirements: Traffic, Quality of Service, Capacity, Coverage
Propagation Models
Dimension
Radio Link Budget
UL & DL Link Budget
Eb/No & Processing Gain
Power Control Headroom Soft Handover Gain
Processing Gain
Effective Noise & Interference
Cell Range Calculation
Cell Range Calculation
Definition for WCDMA systems coverage efficiency:
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Coverage efficiency = coverage Area/site [km2/site]
depending on
propagation environment
allowed traffic density (maximum allowable path loss)
propagation environment:
Cell range calculation:
using standard propagation models (e.g. COST-Hata, Walfish-Ikegami):
Maximum allowable path loss maximum cell range
Cell Range & Coverage Area Calculation
d d
If cell range is known coverage area CAcan be
calculated
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d
d
d
dor
CA= Sd2
Sis a constant depending on the site configuration:
Omni or 6 sector cell: 2.6
2 sector cell : 1.6
3 sector cell : 1.95
The more sectors the more soft handover overhead has
to be regarded for estimation.
Best coverage efficiency does not mean also bestcapacity efficiency!
Cell Range Calculation: Exercise
Exercise:
Given:d
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f = 1950 MHz,
hBS = 30 m,
hMS = 1.5 m
Calculate themaximum cell range dfor a dense urban environmentand
the following two services:
a) Speech (12.2 kbps)
b) Data (144 kbps)
Hint:
- For non specified valuestake the values from the link budget given above.
- Use COST Hata (simplified).
Solution - Cell Range Calculation
5569448213933346 )lg()lg(..)()lg(.)lg(.. dhchdhfLBSMSBSurban
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805617011 .)lg(..)lg(.)( fhfhdMSMS
)lg(22.354.137 dcLurban
1. Speech (12.2 kbps)
Path Loss (Example) L = 142 dB
lg (d) = (142137.43) / 35.22 = 3.6 / 35.22 = 0.1022
d = 1.11 km
2. Data (144 kbps) L = 136.76 dB
no Body Loss; GP=14.25; Eb/No = 1.5; with SHO Gain:
lg (d) = (136.76137.43) / 35.22 d = 0.79 km
Parameter:
f = 1950 MHz,
hBS = 30m,
hMS = 1.5m
Eb/No (144 kbps) 1.5 dB
Dense Urban c = -3
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