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ICTP-ITU/BDT-URSI School on Radio-Based Computer Networking for Research and Training in Developing Countries The Abdus Salam International Centre for Theoretical Physics ICTP, Trieste (Italy), 7th February - 4th March 2005
Radiopropagation basicsRyszard Struzak
Note: These are preliminary notes, intended only for distribution to participants. Beware of misprints!
Purpose
• To refresh basic physics of EM fields and propagation of radio waves to better understand the operation of wireless (microwave) LAN/ WAN systems
Property of R. Struzak 2
Outline
• Introduction• Some simple models• Propagation effects• Site-specific models and digital maps• Time response of propagation channel• Summary
Property of R. Struzak 3
What is EM field?• A spatial distribution of forces acting on
an electric charge• A vector field, described by six numbers at
every point:– Ex(x,y,z,t), Ey(x,y,z,t), Ez(x,y,z,t)– Hx(x,y,z,t), HY(x,y,z,t), HZ(x,y,z,t)
• EM fields interact with the matter • Electric component (E) interacts with electric
charges (fixed and moving) • Magnetic component (H) interacts only with
moving electric charges
• Electricity and magnetism were considered as separate (and mysterious) phenomena until Maxwell’s theory
E
E
H
Property of R. Struzak 4
Example of EM interaction• Lightning: Natural electrical
discharge known from the beginning of human existence
• Lightning flash, Acoustic pulse, Heat stroke, EM pulse, RF wave
• Can destroy electronic and electric networks, trees, buildings, etc.
• Artificial lightning provoked to facilitate observations and measurements
Source: Wikipedia
•http://en.wikipedia.org/wiki/Lightning
Property of R. Struzak 5
Classic EM theory• James Clerk Maxwell (1831-
1879) created a unified theory of electricity and magnetism
• He showed that light is an electromagnetic (EM) wave, and that all EM waves propagate through space with the same speed, which depends on the dielectric and the magnetic properties of the medium– http://www.amanogawa.com/archive/w
avespdf.html– http://www.amanogawa.com/archive/w
avesA.html
Property of R. Struzak 6
Quiz• Imagine 2 persons at 1 m distance.
Their bodies consist of balanced set of electrons & protons
• By some magic, we decrease the number of protons by 1% in each, so that they now have more electrons than protons and repulse each other
• How strong is the repulsive force?• Is it strong enough to move a hair? Or a sheet of
paper? Or this table?
Property of R. Struzak 7
How strong?
• The force would be strong enough to lift the whole Earth!
• Richard Feynman calculated
Property of R. Struzak 8
Richard Feynman (1918-1988) • American physicist, a
grandson of Polish Jews. • 1965 Nobel Prize • Showed that classic
electromagnetics does not apply to small-scale events
• that Maxwell theory is a simplified case of more general laws of quantum electrodynamics
Property of R. Struzak 9
Abdus Salam (1926-1996)• Pakistani physicist (1979
Nobel Prize Laureate and co-founder of ICTP) generalized further the Feynmann’s work.
• Showed that electro-magnetism and weak nuclear interactions known from quantum physics are various facets of the same phenomenon.– http://www.ictp.trieste.it/ProfSalam/
Property of R. Struzak 10
Why consider propagation?1. Could my system operate correctly?
– Wanted signal intensity/ range/ coverage?– Accounting for
• Required quality• Required distance/ area/ volume• Required geographic/ climatic region• Required time period
(Other radio-systems ignored)
Property of R. Struzak 11
2a. Could my system suffer unacceptable interference from other systems?
2b. Could my system produce such interference to other systems?– Strength of unwanted interfering signals?
• Received by the system at hand• Radiated by the system at hand
– Physical area of interference?– Time period of interference?– Degradation in quality of wanted signals?
Property of R. Struzak 12
Why various propagation models?
• Generally, different models are used for:– different applications– different environments (urban – rural,
equatorial – temperate, etc)– the wanted signal and for interfering signals– different dominating propagation mechanism - different
frequency ranges– answering different questions
• Some models include a variability due to randomly changing factors that require probabilistic approach (time, temperature, pressure, water vapor, rain intensity, cloud cover, etc.)
Property of R. Struzak 13
Outline
• Introduction• Some simple models• Propagation effects• Site-specific models and digital maps• Time response of propagation channel• Summary
Property of R. Struzak 14
The simplest model: Free-space
Property of R. Struzak 15
2
2
1 0
4
1 0 lo g4
R T T R
R d B T d B T d B R d B
P P G Gd
P P G Gd
λπ
λπ
⎛ ⎞= ⋅ ⋅ ⋅ ⎜ ⎟⎝ ⎠
⎛ ⎞= + + + ⎜ ⎟⎝ ⎠
Notes: 1. Propagation of a plane EM wave in a homogeneous ideal absorption-less medium (vacuum) with no limits in all directions.2. Doubling the distance results in four-times less power received; the frequency-dependence is involved (antenna gains vary with frequency)3. Matched polarizations4. Specific directions
PT = transmitted power [W]d = distance between
antennas Tx and Rx [m]PR = received power [W]GT = transmitting antenna power gainGR = receiving antenna power gainPR/PT = free-space propagation (transmission) loss (gain)
Avaya
Time delay
Okumura-Hata model
Distance (log)
Sig
nal s
treng
th (l
og)
Free space
Open area (LOS)
Urban Suburban
Microwave transmission gain up to the radio horizon:
Gavrg = Kd-n
Typically: 3≤ n≤ 5n = 2: free spacen = 4: two-ray
model
Long-term average
Property of R. Struzak 16
• Max. Allowable Path LossMAPLdB = PTmaxdb – PRmindB
• Max range estimation from:
( )
4
4
n
R T T R
nn T T R
R
P P G Gd
P G GdP
λπ
λπ
⎛ ⎞≅ ⎜ ⎟⎝ ⎠
⎛ ⎞= ⎜ ⎟⎝ ⎠
Property of R. Struzak 17
MAPL & max rangen PTdBm PRdBm MAPL
dB2.4 GHz range m
5 GHz range m
2 0 -80 80 100 45
2 +20 -80 100 1000 450
4 0 -80 80 6 4
4 +20 -80 100 32 21
Property of R. Struzak 18
LOS model• LOS model
approximates the free-space model if:– 1st Fresnel zone
unobstructed – no reflections,
absorption & other propagation effects
• Power flow from T to R concentrates in the 1st
Fresnel zone
Direct Path Length = L
First Fresnel Zone
Path Length = L + λ/2
Avaya
Property of R. Struzak 19
Fresnel Zone • Fresnel zones are loci of points of constant path-length difference of λ/2
– constant phase difference of 1800
– The n-th zone is the region enclosed between the 2 ellipsoides giving path-length differences n(λ/2) and (n-1)(λ/2)
• The 1st Fresnel zone corresponds to n = 1
T R
1 21
1
1 2
1 2
12
: radius of the 1st Fresnel zone, m: distance T-R, m
: wavelength, m, : distance to R and to T, m
d dr dd
rd d d
d d
λ λ
λ
= ≤
= +
d1 d2
Example: max. radius of the 1st Fresnel zone at 3 GHz (λ= 0.1m) with T – R distance of 4 km:= (1/2)sqrt(0.1*4000) = 10m
Property of R. Struzak 20
Non-LOS propagation
• – when the 1st Fresnel zone is obstructed and/ or the signal reached the receiver due to reflection, refraction, diffraction, scattering, etc.– An obstruction may lie to the side, above, or
below the path. » Examples: buildings, trees, bridges, cliffs, etc. » Obstructions that do not enter in the 1st Fresnel
zone can be ignored. Often one ignores obstructions up to ½ of the zone
Property of R. Struzak 21
Reflection
• = the abrupt change in direction of a wave front at an interface between two dissimilar media so that the wave front returns into the medium from which it originated.
• Reflecting object is large compared to wavelength.
Property of R. Struzak 22
Scattering
• - a phenomenon in which the direction or polarization of the wave is changed when the wave encounters propagation medium discontinuities smaller than the wavelength (e.g. foliage, street signs, …)
• Results in a disordered or random change in the incident energy distribution
Property of R. Struzak 23
Reflection: what it does?• changes the magnitude and phase of the
reflected wave depending on:– The nature of the media (reflection coefficient)– The wave polarization– The shape of the interface
• Reflection may be specular (i.e., mirror-like) or diffuse (i.e., not retaining the image, only the energy) according to the nature of the interface.
• Demonstration with the laser pointerProperty of R. Struzak 24
Reflection coefficient
• = The ratio of the complex amplitudes of the reflected wave and the incident wave
2
2
2
2
sin cos
sin cos
sin cos
sin cos60 (complex dielectric const.)
: grazing angle (complementary angle of incidence): dielectric const. of reflection surface:
cHP
c
c cVP
c c
c r
r
R
R
j
ψ ε ψ
ψ ε ψ
ε ψ ε ψ
ε ψ ε ψε ε σλψεσ
− −=
+ −
− −=
+ −
= −
conductivity of reflection surface, 1/ohm.m: wavelength, mλ
Property of R. Struzak 25
2 ray propagation model • The received direct
and reflected waves differ due to path-lengths difference
• Significant phase change: at distance difference of λ/2 (6 cm at 2.4 GHz), the phase change is 180 deg!
• Usually insignificant amplitude change at (λ/2) distance
T R
Note: The transmitting antenna gain and the receiving antenna gain may have different magnitudes and phases for the direct ray and for the reflected ray
Property of R. Struzak 26
2 Rays: Path-length Difference
Property of R. Struzak 27
h2
D
( ) ( )
22 2 1 2
1 2
22 2 1 2
1 2
2 3
2 21 2 1 2 1 2 1 2
Direct ray: ( ) 1
Reflected ray: ( ) 1
1 1 1 1 1 3(1 ) 1 ...2 2 4 2 4 6
2 if 12 2
d
r
r d
h hd D h h DD
h hd D h h DD
x x x x
h h h h h h h hd dD D D D
−⎛ ⎞= + − = + ⎜ ⎟⎝ ⎠
+⎛ ⎞= + + = + ⎜ ⎟⎝ ⎠
+ = + − + −
+ − +∆ = − ≈ − =
h1
h1
2 rays: resultant field strength( )2
0
2
0
Plane TEM wave: 4
120 30
: free-space power flux density, W/m: power radiated (isotropic antenna), W: distance between antennas, m: free space field strength (isotropic a
T
T
T
PFD P D
E PFD P D
PFDPDE
π
π
=
= =
ntenna), V/mNote: With real antennas, use e.i.r.p. instead of P
δ
φR
Edir
Erefl
E
2 2 22 cos( ) 1 2 cos( )
; 2 (= lagging angle due to path-length difference )
= length difference = (reflected path) - (di
R
direct refl direct refl R direct R
refl j
direct
E E E E E E R R
ER e
Eφ
δ φ π δ φ π
δ π λ−
= + − + − = + − + −
= = ∆
∆
1 2 1 2
rect path)4 , if /( )h h D D h hδ π λ→ + →∞
Property of R. Struzak 28
2-ray model: analysis2
2
2
1 2 cos( )max : cos( ) 1
1 2 (1 )( ) (2 1)
2min : cos( ) 1
1 2 (1 )( ) 2
(2 1)
direct R
R
direct direct
R
R
R
direct direct
R
R
E E R R
E E R R E Rk
k
E E R R E Rk
k
δ φ πδ φ π
δ φ π πδ π φ
δ φ π
δ φ π πδ π φ
= + − + −
+ − = −
= + + = +
+ − = += −
+ − =
= + − = −
+ − == + −
Property of R. Struzak 29
Distance DependenceDoubled power received!
Leve
l rel
ativ
e to
Fre
e-sp
ace,
dB
Property of R. Struzak 30
Log. distance
Slope (absolute): -40 dB/decField-strength ~d-2
Power ~d-4
0 dB relative to free-space6 dB
d = 2πh1h2/λd = 4h1h2/λd = 2h1h2/λ
Simulated Experiments
• Distance dependence • Height dependence• Frequency dependence
Property of R. Struzak 31
Example 1: distance
Property of R. Struzak 32
Variable:d = 500-1000m Step = 10m
Fixed parameters:F = 2.4 GHzH1 = 11mH2 = 10m|R| = 1Arg(R) = 1800
0
0.5
1
1.5
2
500 600 700 800 900 1000
d, DISTANCE, m
FIEL
DST
REN
GTH
REL
. TO
FR
EE S
PAC
E
Example 2: heigth
Variable:H2 = 2 - 3mStep = 1 cm
Fixed parameters:F = 2.4GHzH1 = 1mD = 3m|R| =1Arg(R) = 1800
2.00
2.10
2.20
2.30
2.40
2.50
2.60
2.70
2.80
2.90
3.00
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2Field strength relative to Free-space
Ante
nna
heig
ht, m
Property of R. Struzak 33
Example 3: frequencyVariable:
F = 2.4 - 2.6 GHz Step = 2 MHz
Fixed parameters:H1 = 14 mH2 = 12 mD = 104 m|R| =1Arg(R) = 1800
0
0.5
1
1.5
2
2.4 2.42 2.44 2.46 2.48 2.5FREQUENCY, GHz
FIEL
DST
REN
GTH
REL
AT.
TO
FR
EE S
PAC
E
Property of R. Struzak 34
Field-strength measurements
Property of R. Struzak 35
• The field strength strongly depends on local environment
• Measurement results depend strongly on the antenna location/ orientation, local cables, etc.
• Measurement uncertainty can be reduced by statistical evaluation of many measurements at slightly changed antenna positions
Avoiding negative reflection effects
• Controlling the directive antenna gain at the transmitter and/or receiver
• Blocking the reflected ray at the transmitter-reflector path and/or reflector –receiver path
• Combine constructively the signals using correlation-type receiver – Antenna diversity (~10 dB)– Dual antennas placed at λ/2
separation
T RR
T R
Property of R. Struzak 36
Absorbing reflections• Absorbing the
reflected wave• Covering
reflecting objects by absorbing material (Black-body in optics)
Property of R. Struzak 37Source: Rohde & Schwarz
• Variations
( ) ( )
( )
2
2
Shadowing: log-normal distribution
1 exp22
: probability density function
: standard deviation (8 12 )
Multipath fading: Rayleigh, Rice, and/or Nagakami-Rice distribution
s avrgs
ss
s
s
G Gp G
p G
dB
σσ π
σ
⎡ ⎤−⎢ ⎥= −⎢ ⎥⎢ ⎥⎣ ⎦
−
s
Property of R. Struzak 38
Outline
• Introduction• Some simple models• Propagation effects• Site-specific models and digital maps• Time response of propagation channel• Summary
Property of R. Struzak 39
Principal propagation effects1. Effects of obstructions (indoor) 2. Effects of the ground and obstructions (outdoor)2. Tropospheric effects (outdoor)
– clear air– non-clear air
3. Ionospheric effects (outdoor)
Generally, dependence on- Wavelength (frequency) & polarization- Environment/ climate/ weather - Time
Property of R. Struzak 40
Property of R. Struzak 41
0452-01
FIGURE 1Long-term interference propagation mechanisms
Tropospheric scatter
Diffraction
Line-of-sight
Long-term propagation modes
ITU
Reflection
Troposphere
• = the lower layer of atmosphere (between the earth surface and the stratosphere) in which the change of temperature with height is relatively large. It is the region where convection is active and clouds form.
• Contains ~80% of the total air mass. Its thickness varies with season and latitude. It is usually 16 km to 18 km thick over tropical regions, and less than 10 km thick over the poles.
Property of R. Struzak 42
Troposphere effects (clear air)• absorption by atmospheric gases
– molecular absorption by water vapour and O2
– important bands at ~22 and ~60 GHz• refractive effects
– ray bending– super-refraction and ducting– multipath– Scintillation
» scintillation: a small random fluctuation of the received field strength about its mean value. Scintillation effects become more significant as the frequency of the propagating wave increases.
Property of R. Struzak 43
Refraction
• = redirection of a wavefront passing through a medium having a refractive index that is a continuous function of position (e.g., a graded-index optical fiber, or earth atmosphere) or through a boundary between two dissimilar media – For two media of different refractive indices,
the angle of refraction is approximated by Snell's Law known from optics
Property of R. Struzak 44
LOS – Radio Horizon• Earth curvature
• Radio waves go behind the geometrical horizon due to refraction: the air refractivity changes with height, water vapor contents, etc.
• In standard conditions the radio wave travels approximately along an arc bent slightly downward.
• K-factor is a scaling factor of the ray path curvature. K=1 means a straight line. For the standard atmosphere K=4/3. An equivalent Earth radius KRearth ‘makes’ the path straight
• Departure from the standard conditions may led to subrefraction, superrefractionor duct phenomena.
• Strong dependence on meteorological phenomena.
Geometrical horizon
Radio horizon
•Optics: Snell’s law
Property of R. Struzak 45
Diffraction • = the mechanism the waves spread as they pass
barriers in obstructed radio path (through openings or around barriers)
• Diffraction - important when evaluating potential interference between terrestrial/ earth stations sharing the same frequency.– Mechanism: Each point on a wave front acts as a source of
secondary spherical wavelets. When the wave front approaches an opening or barrier, only the wavelets approaching the unobstructed section can get past. They emit new wavelets in alldirections, creating a new wave front, which creates new wavelets and new wave front, etc. - the process self-perpetuates.
• [Huygens, 1629-1695].
Property of R. Struzak 46
Absorption
• = the conversion of the transmitted EM energy into another form, usually thermal. – The conversion takes place as a result of
interaction between the incident energy and the material medium, at the molecular or atomic level.
– One cause of signal attenuation due to precipitations (rain, snow, sand) and atmospheric gases
Property of R. Struzak 47
Atmospheric Absorption• Important at
frequencies >10 GHz• The atmosphere
introduces attenuation due to interaction of radio wave at molecular/ atomic level
• Exploited in Earth-exploration passive applications
• New wideband short-distance systems
10 100 GHz
0.1
10
10
H2O
O2
Spe
cific
Atte
nuat
ion
dB
/km
Property of R. Struzak 48
Ground and obstacles• terrain (smooth Earth, hills and mountains)
– diffraction, reflection and scattering• buildings (outside and inside)
– diffraction, reflection and scattering• vegetation
– attenuation– scattering
Property of R. Struzak 49
Effects of Buildings - inside• Important for the planning of indoor LAN’s and
wireless private business exchanges for high data rate services– Reflection, multipath and diffraction from objects
• delay spread 70 - 150 ns (~2 GHz; residential – commercial; compare with symbol length)
• statistical or site-specific propagation models
– Path loss through walls and floors• frequency re-use?
– Channelling of energy along the building structures
Property of R. Struzak 50
Effects of Buildings - outside
• Important in the planning of short-range mobile and personal communication systems, LAN’s and Wireless Local Loop systems– Wall/ roof attenuation if antennas located in the
building– Line-of-sight path outside
• Attenuation (free-space, atmospheric gases, rain, etc.)– Non line-of-sight path
• reflection, diffraction and scatter– building height, density, street width, orientation– crossing streets, corner angle (street canyon)
• Multipath delay spread e.g. 0.8 - 3 µs (urban - suburban)
Property of R. Struzak 51
Short-term propagation modes
Property of R. Struzak 520452-02
FIGURE 2
Anomalous (short-term) interference propagation mechanisms
Hydrometeor scatter
Elevated layerreflection/refraction
Ducting
Line-of-sight withmultipath enhancements
ITU
Troposphere effects (non-clear air)• rain effects
– attenuation– depolarisation– scattering
• cloud effects– attenuation
• system availability considerations99.9 % availability (rain at 0.1 % time)90 % availability (cloud at 10 % time)
Property of R. Struzak 53
Super-refraction and ducting
Property of R. Struzak 54
Actual Earth with radius 6 370 km
Standard atmosphere(– 40 N units/km)
(– 157 N units/km)
Ducting(– 157 N units/km)
More negative
Less negative
Atmospheric refraction effects on radio signal propagation
ITU
Standard atmosphere: -40 N units/km (median), temperate climatesSuper-refractive atmosphere: < -40 N units/km, warm maritime regions Ducting: < -157 N units/km (fata morgana, mirage)
Important when evaluating potential interference between terrestrial/ earth stations sharing the same frequency– coupling losses into
duct/layer• geometry
– nature of path (sea/land)
– propagation loss associated with duct/layer
• frequency• refractivity gradient• nature of path (sea,
land, coastal)• terrain roughness
Effects of vegetation shadowing
Property of R. Struzak 55
-16
-14
-12
-10
-8
-6
-4
-2
0
2
4
0 10 20 30 40 50 60 70 80
Sig
nal p
ower
[dB
]
Vehicle distance [m]
TrunkTrunk Trunk
2 Trunks Trunk5 Trunks+ Limbs
-8
-6
-4
-2
0
2
4
0 5 10 15 20 25 30 35 40
Sig
nal p
ower
[dB
]
Vehicle distance [m]
PalmCrown
PalmTrunk
PalmTrunk
Pine tree
Palm tree
ITU
Attenuation up to 20 dB
Depends on the species of tree, density and structure of foliage, movement of branches and foliage, etc.
Important for the planning of microwave propagation path over wooded areas
Ionospheric propagation• The ionosphere is
transparent for microwaves but reflects HF waves
• There are various ionospheric layers (D, E, F1, F2, etc.) at various heights (50 – 300 km)
• Over-horizon commu-nication range: several thousand km
• Suffers from fading Ionospheric reflectivity depends on time, frequency of incident wave, electron density, solar activity, etc. Difficult to predict with precision.
Property of R. Struzak 56
Fading
• Case of more than one propagation path (mode) exists between T and R
• Fading = the result of variation (with time) of the amplitude or relative phase, or both, of one or more of the frequencycomponents of the signal.
• Cause: changes in the characteristics of the propagation path with time.
Property of R. Struzak 57
Outline
• Introduction• Some simple models• Propagation effects• Site-specific models and digital maps• Time response of propagation channel• Summary
Property of R. Struzak 58
SISP• SISP – Site Specific propagation models based
on an analysis of all possible rays between the transmitter and receiver to account for reflection, diffraction & scattering
• Requires exact data on the environment – Indoor: detailed 3D data on building, room, equipment– Outdoor: 3D data on irregular terrain infrastructure,
streets, buildings, etc. (Fresnel-Kirchoff or Deygouttheoretical constructions)
– Large databases• Satellite/ aerial photographs or radar images,
Property of R. Struzak 59
Signal coverage map
Property of R. Struzak 60
• Example of computer-generated signal-level distribution superimposed on a terrain map – Light-blue =
strong signal
DTM• Application of
detailed propagation prediction models requires topographical information: Digital Terrain Model (DTM) or Digital Terrain Elevation Data (DTED)
Property of R. Struzak 61
Digital terrain elevation maps
Most of DTM & DTEDwere created from paper maps
Recently, they were also produced from radar data collected from satellite
Best resolution: 1 arc-sec (~30 m)30 times as precise as the best global maps in use today. First such maps were planned for 2004.
Source: NASA (http://www2.jpl.nasa.gov/srtm/)
Property of R. Struzak 62
Radar Topography
Radar interferometry compares two radar images taken at slightly different locations
Combining the two images produces a single 3-D image.
Shuttle Radar Topographic Mission (SRTM) used single-pass interferometry: the two images were acquired at the same time -- one from the radar antennas in the shuttle's payload bay, the other from the radar antennas at the end of a 60-meter mast extending from the shuttle.
Source: NASA
Property of R. Struzak 63
Shuttle Radar Topography Mission 2000
•Mission: 11-22 Feb. 2000•Collected: 9 terabytes of raw data (~15,000 CDs)
• More than 80 hours data recording
• Orbiter: Shuttle Endeavour (7.5km/sec)
• Nominal altitude: 233 km (with orbital adjustment once per day)
• Inclination:57 degrees• 6-member crew
• to activate payload, deploy and stow mast, align inboard and outboard structures, monitor payload flight systems, operate on-board computers & recorders, & handle contingencies
Source: NASA
Property of R. Struzak 64
Outline
• Introduction• Some simple models• Propagation effects• Site-specific models and digital maps• Time response of propagation channel• Summary
Property of R. Struzak 65
Multipath propagation
T
R
R
S
D
Indoor Outdoor: reflection (R), diffraction (D), scattering (S)
Property of R. Struzak 66
Time – Frequency Characteristics• Radio channel can be treated as a linear two-terminal-pair transmission
channel (input port: transmitting antenna; output port: receiving antenna). ( ) ( ) ( )
( ) ( ) ( ) ( ) ( )
( ) ( ) (frequency transfer function of the channel)
1( ) ( ) (impulse response of the channel)2
2( ), ( ) : input signal time
j t
j t
Y X H
y t x t h t d x t h t
H h t e dt
h t H e d
fx t X
ω
ω
ω ω ω
τ τ
ω
ω ωπ
ω πω
∞
−∞
∞−
−∞
∞
−∞
=
= − = ⊗
=
=
=
∫
∫
∫
and spectral representation( ), ( ) : output signal time and spectral representationy t Y ω
Property of R. Struzak 67
Direct RF Pulse Sounding
Key BPF
Direct ray
Pulse Generator
Detector
Digital Storage Oscilloscope
Reflected ray
Property of R. Struzak 68
Frequency Domain Sounding
S-Parameter Test Set
Vector Network Analyzer &Swept Frequency Osillator
Inverse DFT Processor
X(ω) Y(ω)
S21(ω) ≈ H(ω) = [X(ω)] / [X(ω)]
Port 2
h(t)
Port 1
h(t) = Inverse Fourier Transform of H(ω)
Property of R. Struzak 69
Time Response, 2 RaysReceived signal
Property of R. Struzak 70
Am
plitu
de
Time
Reflected rayDirect ray
∆τ = c(dreflect – ddirect)
Light velocity
Path-length difference
a1
a2 ∆τ
+x(t) y(t)
Am
plitu
de
Transmitted signal
Time
Power Delay Profile
Time
Rel
ativ
e P
ower
( )
2
1
2
1
2 2
1
2
1
N
k kk
aver N
kk
N
k aver kk
rms N
kk
τ ατ
α
τ τ ατ
α
=
=
=
=
=
−=
∑
∑
∑
∑• If an impulse is sent from transmitter in a multiple-reflection environment,
the received signal will consist of a number of impulse responses whose delays and amplitudes depend on the reflecting environment of the radio link. The time span they occupy is known as delay spread
• The dispersion of the channel is normally characterized using the RMS Delay Spread, or standard deviation of the power delay profile
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Inter-symbol Interference
Symbols Sent Symbols Received
• The delay spread limits the maximum data rate: no new impulse should reach the receiver before the last replica of the previous impulse has perished.
• Otherwise the symbol spreads into its adjacent symbol slot, the two symbols mix, the receiver decision-logic circuitry cannot decide which of the symbols has arrived, and inter-symbol interference occurs.
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Error Bursts
• When the delay spread becomes a substantial fraction of the bit period, error bursts may happen.
• These error bursts are known as irreductible since it is not possible to reduce their value by increasing the transmitter power.
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Error Reduction
• Elimination of reflections as discussed earlier, plus
• Applying error- resistant modulations, codes, and communication protocols
• Applying Automatic Repeat Request (ARQ)
• Retransmission protocol for blocks in error
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Microcell vs Macrocell
Microcell MacrocellCell radius 0.1-1 km 1-20 kmTx power 0.1-1 W 1-10 WFading Ricean RayleighRMS delay spread 10-100 ns 0.1-10usBit Rate 1 Mbps 0.3 Mbps
After R.H.Katz CS294-7/1996
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Outline
• Introduction• Some simple models• Propagation effects• Site-specific models and digital maps• Time response of propagation channel• Summary
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Radio Wave Components
Component CommentsDirect wave Free-space/ LOS propagation
Reflected wave Reflection from a passive antenna, ground, ionosphere (<~100MHz), wall, object, etc.
Refracted wave Standard, Sub-, and Super-refraction, ducting, ionized layer refraction (<~100MHz)
Diffracted wave Ground-, mountain-, spherical earth- diffraction (<~5GHz)
Surface wave (<~30 MHz)
Scatter wave Troposcatter wave, precipitation-scatter wave, ionized-layer scatter wave
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Power budgetExample of the link budget spreadsheet
Parameters To access Peer to peer at different data rate point 11 Mbps 11 Mbps 5.5 Mbps 2 Mbps 1 Mbps
Frequency (GHz) 2.45 2.45 2.45 2.45 2.45Transmit power (W) 0.032 0.020 0.020 0.020 0.020Transmit power (dBW) 15.0 16.9 16.9 16.9 16.9Transmit antenna gain (dBi) 0.0 2.0 2.0 2.0 2.0Polarization loss (dB) 3.0 3.0 3.0 3.0 3.0EIRP (dBW) 18.0 21.9 21.9 21.9 21.9
Range (m) 32.4 25.1 37.3 60.6 90.1 Path loss exponent (dB) 3.5 3.5 3.5 3.5 3.5Free-space path loss (dB) 88.6 84.7 90.7 98.1 104.1
Rec. antenna gain (dBi) 2.0 2.0 2.0 2.0 2.0Cable loss (dB) 1.9 1.9 1.9 1.9 1.9Rake equalizer gain (dB) 0.5 0.5 0.5 0.5 0.5Diversity gain (dB) 5.5 5.5 5.5 5.5 5.5Receiver noise figure (dB) 13.6 13.6 13.6 13.6 13.6Data rate (Kbps) 11000 11000 5500 2000 1000 Required Eb/No (dB) 8.0 8.0 5.0 2.0 1.0 Rayleigh fading (dB) 7.5 7.5 7.5 7.5 7.5Receiver sensitivity (dBm) 80.1 80.1 86.1 93.5 99.5 Signal-to-noise ratio (dB) 8.0 8.0 5.0 2.0 1.0 Link margin (dB) 0.0 0.0 0.0 0.0 0.0
Source: D. Liu et al.: Developing integrated antenna subsystems for laptop computers; IBM J. RES. & DEV. VOL. 47 NO. 2/3 MARCH/MAY 2003 p. 355-367
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Summary• Propagation analysis is a vital part of
system design, planning and management• The best equipment may not operate
correctly if deployed disregarding significant propagation effects!
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Selected references• Some software available at ICTP:
– MLINK– RadioMobile– ITS Irregular Terrain Model – SEAMCAT
– Major propagation models & related computer programs (free): http://www.ero.dk/seamcat
• International recommendations– ITU-R recommendations series SG3
– http://www.itu.int/; publications/main_publ/itur.html• Books:
– Shigekazu Shibuya: A basic atlas of radio-wave propagation; Wiley– Freeman RL: Radio System Design for Telecommunications, Wiley– Coreira LM: Wireless Flexible Persdonalised Communications, Wiley
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Copyright note
• Copyright © 2004 Ryszard Struzak. All rights are reserved. • These materials and any part of them may not be published,
copied to or issued from another Web server without the author'swritten permission.
• These materials may be used freely for individual study, research, and education in not-for-profit applications.
• If you cite these materials, please credit the author. The author will appreciate letting him know that fact.
• If you have comments or suggestions, you may send these directly to the author at [email protected].
– Acknowledgment: Some of the material is based on Dr. Kevin Hughes’ presentations at previous ICTP Schools
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