Wc Lecture 1 2011

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    Introduction What is communication ?

    Significance of guided and unguided

    communication Wireless / Mobile Communication

    Radio Propagation Effects

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    Propagation Scenario

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    Mobile Radio Propagation Large Scale Propagation Effects Distance dependent loss

    Reflection

    Diffraction Scattering

    Useful in estimating radio coverage

    Small Scale Propagation Effects

    Rapid fluctuations of received signal strength overshort durations or short distances Multipath propagation time dispersive

    Mobility frequency dispersive

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    Large-scale /small-scale

    propagation

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    Propagation phenomena

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    50-100

    1 2 Km

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    Free space propagation

    model - LOS Pr(d) = Pt Gt Gr2/ (4d)2 L Pr(d0)(d0/d)2 Assumes far-field (Fraunhofer region)

    Far field distance df>> D and df>> , where D is the largest linear dimension of antenna

    is the carrier wavelength df= 2D

    2/ do > df Fraunhofer region/far field (1m -1 km)

    No interference, no obstructions

    Effective isotropic radiated power EIRP = Pt Gt Effective radiated power ERP

    Antenna gains dBi, dBd Path loss PL(dB) = 10log (Pt/Pr)

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    Radio Propagation Mechanisms Reflection

    Propagating EM wave impinges on an object which is large ascompared to its wavelength- e.g., the surface of the Earth, buildings, walls, etc.

    Conductors & Dielectric materials (refraction) Diffraction

    Radio path between transmitter and receiver is obstructed by asurface with sharp irregular edges

    Waves bend around the obstacle, even when LOS (line of sight)does not exist

    Fresnel zones Scattering

    Objects smaller than the wavelength of the propagating wave- e.g. foliage, street signs, lamp posts

    Clutter is small relative to wavelength

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    Reflection Perfect conductors reflect with no attenuation

    Light on the mirror

    Dielectrics reflect a fraction of incident energy

    Grazing angles reflect max* Steep angles transmit max*

    Light on the water

    Reflection induces 180 phase shift Why? See yourself in the mirror

    Reflected field intensity

    Fresnel reflection coefficient Brewster angle = 0 ?

    q qr

    qt

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    Classical 2-ray Ground reflection

    model

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    2-Ray Model For d > do, the free space propagating field

    E(d,t) = (Eodo/d) cos { c(t d/c)} ELOS(d,t) = (Eodo/d) cos { c(td/c)} Eg(d,t) = (Eodo/d) cos { c(td/c)} qi = qo Eg = Ei ; Et = (1+) Ei

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    2-Ray Model

    For small grazing angles, assuming perfecthorizontal E-field polarization and groundreflection , | =-1, Et = 0 |ETOT| = |ELOS + Eg |

    ETOT(d,t) = (Eodo/d) cos { c(td/c)}+(-1)(Eodo/d) cos { c(td/c)}

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    Method of images

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    2-Ray model Using method of images,

    Path difference

    = d d = {(ht+hr)2+d2} 1/2{(ht-hr)2+d2} 1/2 If d >> (h

    t

    +hr

    ) ; using Taylor series expansion,

    = d d 2hthr /d q = 2 / = c / c and d = / c = q/2 fc

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    2-Ray model At time t = d/c ;

    ETOT

    (d, t) = (Eo

    do

    /d) cos { c

    ((d d)/c)} - (Eo

    do

    /d) cos0

    = (Eodo/d) q - (Eodo/d) (Eodo/d) [ q - 1]

    |ETOT(d) |

    = { (Eodo/d)2 cos (q - 1)2 + (Eodo/d)2 sin (q )2 }

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    2-Ray model |ETOT(d) |= { (Eodo/d)

    2 cos (q - 1)2 + (Eodo/d)2 sin (q )2 }

    |ETOT(d) |= (Eodo/d) (2-2cos q ) = (2Eodo/d) sin( q /2) sin( q /2) ( q /2) < 0.3 rad d > 20 ht hr / ETOT(d) (2Eodo/d) (2 ht hr / d) k / d 2 V/m Pr= Pt Gt Gr (ht hr )

    2/ d 4

    PL(dB) = 40 log d ( 10logGt + 10logGr + 20loght + 20loghr )

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    2-Ray model Summary For small T-R separation

    ETOT(d,t) = (Eodo/d) cos { c(td/c)}+(-1)(Eodo/d) cos { c(td/c)}

    For large T-R separation

    ETOT(d) (2Eodo/d) (2 ht hr / d)

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    2-Ray model Summary For large T-R separation,

    ETOT(d) k / d 2 V/m

    The free space power is related to square of the electric fieldand hence,

    Pr= Pt Gt Gr (ht hr )2/ d 4

    Path Loss in dBPL(dB) = 40 log d ( 10logGt + 10logGr + 20loght + 20loghr )

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    Diffraction Diffraction occurs when waves hit the edge of an obstacle

    Secondary waves propagate into the shadowed region

    Water wave example

    Diffraction is caused by the propagation of secondarywavelets into a shadowed region.

    Excess path length results in a phase shift

    The field strength of a diffracted wave in the shadowedregion is the vector sum of the electric field components ofall the secondary wavelets in the space around the obstacle.

    Huygens principle:all points on a wavefront can beconsidered as point sources for the production of secondarywavelets, and that these wavelets combine to produce anew wavefront in the direction of propagation.

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    Diffraction geometry

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    Fresnel Screens

    Path difference between successive zones = /2

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    Fresnel Zones

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    Fresnel Zone Clearance

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    Fresnel Zone Clearance

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    Fresnel Zone Clearance A rule of thumb used for

    line-of-sight microwave links55% of the first Fresnel zone

    to be cleared.

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    Fresnel Zone Clearance A rule of thumb used for

    line-of-sight microwave links55% of the first Fresnel zone

    to be cleared.

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    Diffraction geometry

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    Diffraction geometry

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    Diffraction Parameter Assuming h >,

    Excess path length h2 (d1+ d2 )/(2 d1d2)

    Phase difference = 2/= 2 / 2 ?

    =+ and considering tan ,

    h (d1+ d2 )/(d1d2)

    Fresnel-Kirchoff diffraction parameter

    = h {2(d1+ d2 )/(d1d2)}1/2

    = {2 d1d2/((d1+ d2 ))}1/2

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    Fresnel diffraction geometry

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    Diffraction Gain Electric Field Strength Ed

    Ed = Eo F()

    F() complex Fresnel integral evaluatedusing tables / graphs

    Diffraction gain Gd(dB) = 20 log |F()|

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    Approximate solution forGd(dB)

    Gd(dB) = 0 -1

    Gd(dB) = 20log(0.5-0.62 ) -1 0

    Gd(dB) = 20log{0.5exp(-0.95 )} 0 1

    Gd(dB) = 20log{0.4-[0.1184-(0.38-0.1 2 )]1/2}1 2.4

    Gd(dB) = 20log{0.225/ } > 2.4

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    Knife-edge diffraction loss

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    Multiple knife-edge diffraction

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    Scattering Rough surfaces

    Lamp posts and trees, scatter energy in all directions

    Critical height for roughness hc = /(8 sinqi) Smooth if its minimum to maximum protuberance

    h < hc

    For rough surfaces, Scattering loss factor S to bemultiplied with surface reflection coefficient,rough = S ; S is a function of, h, qi

    Nearby metal objects (street signs, etc.)

    Usually modeled statistically Large distant objects

    Analytical model: Radar Cross Section (RCS)

    Bistatic radar equation

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    Measured results

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    Measured results

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    Propagation Models Large scale models predict behavior averaged over distances >>

    Function of distance & significant environmental features, roughlyfrequency independent

    Breaks down as distance decreases

    Useful for modeling the range of a radio system and roughcapacity planning,

    Path loss models, Outdoor models, Indoor models

    Small scale (fading) models describe signal variability on a scale of Multipath effects (phase cancellation) dominate, path attenuationconsidered constant

    Frequency and bandwidth dependent

    Focus is on modeling Fading: rapid change in signal over a shortdistance or length of time.

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    Free Space Path Loss Path Loss is a measure of attenuation based only on thedistance to the transmitter

    Free space model only valid in far-field;

    Path loss models typically define a close-in point d0

    and reference other points from there:

    2

    00 )()(

    d

    ddPdP rr

    dB

    dBrd

    ddPLdPdPL

    0

    0 2)()]([)(

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    Log-distance Path LossLog-distance generalizes path loss to account for other

    environmental factors Choose a d0 in the far field. Measure PL(d0) or calculate Free Space Path Loss.

    Take measurements and derive nempirically.

    dBdddPLdPL

    0

    0 )()( n

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    Typical large-scale path loss

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    Log-Normal Shadowing Model Shadowing occurs when objects block LOS between

    transmitter and receiver

    A simple statistical model can account for unpredictableshadowing

    PL(d)(dB)=PL(d)+X Where X is a zero-mean Gaussian RV (in dB)

    (distributed log normally), with standard deviation of

    (in dB) is usually from 3 to 12 dB

    L l Ri M d l

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    Longley-Rice Model(ITS Irregular terrain model)

    Point-to-point from 40MHz to 100GHz. Predicts median transmission loss, Takes terrain into account, Uses

    path geometry, Calculates diffraction losses, forward scatter theory Inputs:

    Frequency Path length Polarization and antenna heights Surface refractivity Effective radius of earth Ground conductivity

    Ground dielectric constant Climate

    Disadvantages Does not take into account details of terrain near the receiver Does not consider Buildings, Foliage, Multipath

    Original model modified by Okamura for urban terrain

    L l Ri M d l

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    Longley-Rice ModelOPNET implementation

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    Durkins Model It is a computer simulator for predicting field

    strength contours over irregular terrain.

    Line of sight or non-LOS Edge diffractions using Fresnel zone

    Disadvantage cannot adequately predict

    propagation effects due to foliage, building,and it cannot account for multipathpropagation.

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    2-D Propagation Raster data

    Digital elevation models(DEM) United StatesGeological Survey (USGS)

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    Algorithm for line of sight

    (LOS) Line of sight (LOS) or not

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    Multiple diffraction

    computation

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    Empirical Models Okumura model

    Curves based on extensive measurements(site/freq specific)

    Awkward (uses graphs)

    Hata model Analytical approximation to Okumura model

    Cost 231 Model:

    Extends Hata model to higher frequency (2 GHz)

    Walfish/Bertoni: Cost 231 extension to include diffraction from rooftops

    Commonly used in cellular system simulations

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    Okumura Model It is one of the most widely used models for signal prediction in urban areas,and it is applicable for frequencies in the range 150 MHz to 1920 MHz

    Based totally on measurements (not analytical calculations)

    Applicable in the range: 150MHz to ~ 2000MHz, 1km to 100km T-R

    separation, Antenna heights of BS upto 200m, MS upto 3m

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    Okumura Model The major disadvantage with the model is its low response to rapid

    changes in terrain, therefore the model is fairly good in urban areas,but not as good in rural areas.

    Common standard deviations between predicted and measured pathloss values are around 10 to 14 dB.

    m30m1000200

    log20)(

    te

    tete h

    hhG

    m33

    log10)(

    re

    rere h

    hhG

    m3m10

    3

    log20)(

    re

    rere h

    hhG

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    OkumuraCorrection factor

    GAREA

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    Hata Model Empirical formulation of the graphical data in the

    Okamura model. Valid 150MHz to 1500MHz, Used

    for cellular systems

    The following classification was used by Hata:

    Urban areaSuburban areaOpen area

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    Hata Model EdBALdB logCdBALdB log

    DdBALdB logbhfA 82.13log16.2655.69

    bhB log55.69.44

    94.40log33.18)28/log(78.42 ffD

    4.5))28/(log(22 fC

    MHzfhE m 300cities,largefor97.4))75.11(log(2.32

    MHzfhE m 300cities,largefor1.1))54.1(log(29.82

    citiessmalltomediumfor)8.0log56.1()7.0log11.1(

    fhfE m

    Urban area

    Suburban area

    Open area

    - E

    - E

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    PCS Extension of Hata Model COST-231 Hata Model, European standard

    Higher frequencies: up to 2GHz

    Smaller cell sizes

    Lower antenna heights

    GEdBFLdB log

    bhfF log82.13log9.333.46 f >1500MHz

    0

    3G

    Metropolitan centers

    Medium sized city and suburban areas

    Indoor Propagation

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    Indoor PropagationModels The distances covered are much smaller

    The variability of the environment is much greater

    Key variables: layout of the building, construction materials,

    building type, where the antenna mounted, etc. In general, indoor channels may be classified either as LOS or

    OBS with varying degree of clutter

    The losses between floors of a building are determined by theexternal dimensions and materials of the building, as well as the

    type of construction used to create the floors and the externalsurroundings.

    Floor attenuation factor (FAF)

    Signal Penetration into

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    Signal Penetration intoBuildings RF penetration has been found to be a function of frequency as

    well as height within the building. Signal strength receivedinside a building increases with height, and penetration lossdecreases with increasing frequency.

    Walkers work shows that building penetration loss decrease at

    a rate of 1.9 dB per floor from the ground level up to the 15thfloor and then began increasing above the 15th floor. Theincrease in penetration loss at higher floors was attributed toshadowing effects of adjacent buildings.

    Some devices to conduct the signals into the buildings

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    Repeater Extend coverage range

    Directional antenna or distributed antenna systems

    R T i d Sit

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    Ray Tracing and SiteSpecific Modeling Site specific propagation model and graphical information

    system. Ray tracing. Deterministic model.

    Data base for buildings, trees, etc.

    SitePlanner

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    Simple path loss/shadowing model:

    Find Pr:

    Find Noise power:

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    SINR:

    Withoutshadowing ( = 0), BPSK works 100%, 16QAM fails all thetime.

    Withshadowing (s= 6dB):

    BPSK: 16 QAM

    75% of users can use BPSK modulation and hence get a PHY data

    rate of 10 MHz 1 bit/symbol 1/2 = 5 Mbps Less than 1% of users can reliably use 16QAM (4 bits/symbol) for a

    more desirable data rate of 20 Mbps.

    Interestingly for BPSK, w/o shadowing, we had 100%; and 16QAM:0%!