Wc Lecture 1 2011
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Transcript of 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%!