Lecture 5: Large-Scale Path Loss
description
Transcript of Lecture 5: Large-Scale Path Loss
![Page 1: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/1.jpg)
Lecture 5: Large-Scale Path Loss
Chapter 4 – Mobile Radio Propagation: Large-Scale Path Loss
![Page 2: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/2.jpg)
2
Last two lectures: Properties of cellular radio systems Frequency reuse by using cells Clustering and system capacity System components - Mobile switching centers, base stations,
mobiles, PSTN Handoff strategies Handoff margin, guard channels Mobile Assisted Handoff Umbrella cells Hard and soft handoffs Co-Channel Interference Adjacent Channel Interference Trunking and grade of service (GOS) Cell splitting Sectoring
![Page 3: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/3.jpg)
3
This lecture: Electromagnetic propagation properties and hindrances.
What are reasons why wireless signals are hard to send and receive?
![Page 4: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/4.jpg)
4
I. Problems Unique to Wireless (not wired) systems:
Paths can vary from simple line-of-sight to ones that are severely obstructed by buildings, mountains, and foliage.
Radio channels are extremely random and difficult to analyze.
Interference from other service providers out-of-band non-linear Tx emissions
![Page 5: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/5.jpg)
5
Interference from other users (same network) CCI due to frequency reuse ACI due to Tx/Rx design limitations & large # user
s sharing finite BW Shadowing
Obstructions to line-of-sight paths cause areas of weak received signal strength
![Page 6: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/6.jpg)
6
Fading When no clear line-of-sight path exists, signals are r
eceived that are reflections off obstructions and diffractions around obstructions
Multipath signals can be received that interfere with each other
Fixed Wireless Channel → random & unpredictable must be characterized in a statistical fashion field measurements often needed to characterize radio c
hannel performance
![Page 7: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/7.jpg)
7
** The Mobile Radio Channel (MRC) has unique problems that limit performance ** A mobile Rx in motion influences rates of fadin
g the faster a mobile moves, the more quickly
characteristics change
![Page 8: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/8.jpg)
8
II. Radio Signal Propagation
![Page 9: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/9.jpg)
9
The smoothed line is the average signal strength. The actual is the more jagged line.
Actual received signal strength can vary by more than 20 dB over a few centimeters.
The average signal strength decays with distance from the transmitter, and depends on terrain and obstructions.
![Page 10: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/10.jpg)
10
Two basic goals of propagation modeling:
1) Predict magnitude and rate (speed) of received signal strength fluctuations over short distances/time durations
“short” → typically a few wavelengths (λ) or seconds
at 1 Ghz, λ = c/f = 3x108 / 1x109 = 0.3 meters received signal strength can vary drastically by 30 t
o 40 dB
![Page 11: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/11.jpg)
11
small-scale fluctuations → called _____ (Chapter 5) caused by received signal coming from a sum of ma
ny signals coming together at a receiver multiple signals come from reflections and scatterin
g these signals can destructively add together by being
out-of-phase
![Page 12: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/12.jpg)
12
2) Predict average received signal strength for given Tx/Rx separation characterize received signal strength over distances
from 20 m to 20 km Large-scale radio wave propagation model models needed to estimate coverage area of base station in general, large scale path loss decays gradually w
ith distance from the transmitter will also be affected by geographical features like h
ills and buildings
![Page 13: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/13.jpg)
13
Free-Space Signal Propagation clear, unobstructed line-of-sight path → satellite and
fixed microwave Friis transmission formula → Rx power (Pr) vs. T-R
separation (d)
![Page 14: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/14.jpg)
14
where Pt = Tx power (W) G = Tx or Rx antenna gain (unitless)
relative to isotropic source (ideal antenna which radiates power uniformly in all directions)
in the __________ of an antenna (beyond a few meters)
Effective Isotropic Radiated Power (EIRP)
EIRP = PtGt
Represents the max. radiated power available from a Tx in the direction of max. antenna gain, as compare to an isotropic radiator
![Page 15: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/15.jpg)
15
λ = wavelength = c / f (m). A term is related to antenna gain.
So, as frequency increases, what happens to the propagation characteristics?
L = system losses (antennas, transmission lines betwee
n equipment and antennas, atmosphere, etc.) unitless L = 1 for zero loss L > 1 in general
![Page 16: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/16.jpg)
16
d = T-R separation distance (m) Signal fades in proportion to d2
We can view signal strength as related to the density of the signal across a large sphere.
This is the surface area of a sphere with radius d. So, a term in the denominator is related to distance
and density of surface area across a sphere.
![Page 17: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/17.jpg)
17
⇒ Path Loss (PL) in dB:
![Page 18: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/18.jpg)
18
d2 → power law relationship Pr decreases at rate of proportional to d2
Pr decreases at rate of 20 dB/decade (for line-of-sight, even worse for other cases)
For example, path loses 20 dB from 100 m to 1 km Comes from the d2 relationship for surface area.
Note: Negative “loss” = “gain”
![Page 19: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/19.jpg)
19
Example: Path loss can be computed in terms of a link
budget calculation. Compute path loss as a sum of dB terms for the
following: Unity gain transmission antenna. Unity gain receiving antenna. No system losses Carrier frequency of 3 GHz Distance = 2000 meters
![Page 20: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/20.jpg)
20
Close in reference point (do) is used in large-scale models
do : known received power reference point - typically 100 m or 1 km for outdoor systems and 1 m for indoor systems
df : far-field distance of antenna, we will always work problems in the far-field
D: the largest physical linear dimension of antenna
22 f f f
Dd d D d
![Page 21: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/21.jpg)
21
Reference Point Example: Given the following system characteristics for large-s
cale propagation, find the reference distance do. Received power at do = 20 W Received power at 5 km = 13 dBm
Using Watts:
Using dBm:
![Page 22: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/22.jpg)
22
III. Reflections
There are three basic propagation mechanisms in addition to line-of-sight paths Reflection - Waves bouncing off of objects of large
dimensions Diffraction - Waves bending around sharp edges of
objects Scattering - Waves traveling through a medium
with small objects in it (foliage, street signs, lamp posts, etc.) or reflecting off rough surfaces
![Page 23: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/23.jpg)
23
Reflection occurs when RF energy is incident upon a boundary between two materials (e.g air/ground) with different electrical characteristics Permittivity µ Permeability ε Conductance σ
Reflecting surface must be large relative to λ of RF energy
Reflecting surface must be smooth relative to λ of RF energy “specular” reflection
![Page 24: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/24.jpg)
24
What are important reflecting surfaces for mobile radio?
Fresnel reflection coefficient → Γ describes the magnitude of reflected RF energy depends upon material properties, polarization, & a
ngle of incidence
![Page 25: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/25.jpg)
25
IV. Ground Reflection (2-Ray) Model
Good for systems that use tall towers (over 50 m tall)
Good for line-of-sight microcell systems in urban environments
![Page 26: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/26.jpg)
26
ETOT is the electric field that results from a combination of a direct line-of-sight path and a ground reflected path
is the amplitude of the electric field at distance d ωc = 2πfc where fc is the carrier frequency of the signal Notice at different distances d the wave is at a different phase becau
se of the form similar to
![Page 27: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/27.jpg)
27
For the direct path let d = d’ ; for the reflected path
d = d” then
for large T−R separation : θi goes to 0 (angle of incidence to the ground of the reflected wave) and
Γ = −1 Phase difference can occur depending on the phase diffe
rence between direct and reflected E fields The phase difference is θ∆ due to Path difference , ∆
= d”− d’, between
![Page 28: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/28.jpg)
28
From two triangles with sides d and (ht + hr) or (ht – hr)
![Page 29: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/29.jpg)
29
∆ can be expanded using a Taylor series expansion
![Page 30: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/30.jpg)
30
which works well for d >> (ht + hr), which means
and are small
![Page 31: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/31.jpg)
31
the phase difference between the two arriving signals is
0 0
0 02
( ) 2 sin2
20.3 rad
22
( ) 2 V/m
TOT
r t
r tTOT
E dE t
d
h h
dE d h h k
E td d d
![Page 32: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/32.jpg)
32
For d0=100meter, E0=1, fc=1 GHz, ht=50 meters, hr=1.5 meters, at t=0
![Page 33: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/33.jpg)
33
note that the magnitude is with respect to a reference of E0=1 at d0=100 meters, so near 100 meters the signal can be stronger than E0=1 the second ray adds in energy that would have been
lost otherwise for large distances it can be shown
that
![Page 34: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/34.jpg)
34
![Page 35: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/35.jpg)
35
V. Diffraction
RF energy can propagate: around the curved surface of the Earth beyond the line-of-sight horizon Behind obstructions
Although EM field strength decays rapidly as Rx moves deeper into “shadowed” or obstructed (OBS) region
The diffraction field often has sufficient strength to produce a useful signal
![Page 36: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/36.jpg)
36
Huygen’s principle says points on a wavefront can be considered sources for additional wavelets.
![Page 37: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/37.jpg)
37
The wavefront on top of an obstruction generates secondary (weaker) waves.
![Page 38: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/38.jpg)
38
The difference between the direct path and diffracted path, call excess path length
Fresnel-Kirchoff diffraction parameter
The corresponding phase difference
![Page 39: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/39.jpg)
39
![Page 40: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/40.jpg)
40
The excess total path length traversed by a ray passing through each circle is nλ/2
![Page 41: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/41.jpg)
41
The diffraction gain due to the presence of a knife edge, as compared the the free space E-field
![Page 42: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/42.jpg)
42
![Page 43: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/43.jpg)
43
![Page 44: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/44.jpg)
44
![Page 45: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/45.jpg)
45
![Page 46: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/46.jpg)
46
![Page 47: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/47.jpg)
47
![Page 48: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/48.jpg)
48
![Page 49: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/49.jpg)
49
VI. Scattering
Received signal strength is often stronger than that predicted by reflection/diffraction models alone
The EM wave incident upon a rough or complex surface is scattered in many directions and provides more energy at a receiver energy that would have been absorbed is instead reflected to t
he Rx.
Scattering is caused by trees, lamp posts, towers, etc. flat surface → EM reflection (one direction) rough surface → EM scattering (many directions)
![Page 50: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/50.jpg)
50
![Page 51: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/51.jpg)
51
VII. Path Loss Models
We wish to predict large scale coverage using analytical and empirical (field data) methods
It has been repeatedly measured and found that Pr @ Rx decreases logarithmically with distance
∴ PL (d) = (d / do )n where n : path loss exponent or
PL (dB) = PL (do ) + 10 n log (d / do )
![Page 52: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/52.jpg)
52
“bar” means the average of many PL values at a given value of d (T-R sep.)
n depends on the propagation environment “typical” values based on measured data
![Page 53: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/53.jpg)
53
At any specific d the measured values vary drastically because of variations in the surrounding environment (obstructed vs. line-of-sight, scattering, reflections, etc.)
Some models can be used to describe a situation generally, but specific circumstances may need to be considered with detailed analysis and measurements.
![Page 54: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/54.jpg)
54
Log-Normal Shadowing
PL (d) = PL (do ) + 10 n log (d / do ) + Xσ
describes how the path loss at any specific location may vary from the average value
has a the large-scale path loss component we have already seen plus a random amount Xσ.
![Page 55: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/55.jpg)
55
Xσ : zero mean Gaussian random variable, a “bell curve”
σ is the standard deviation that provides the second parameter for the distribution
takes into account received signal strength variations due to shadowing measurements verify this distribution
n & σ are computed from measured data for different area types
any other path loss models are given in your book. That correlate field measurements with models for different t
ypes of environments.
![Page 56: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/56.jpg)
56
![Page 57: Lecture 5: Large-Scale Path Loss](https://reader036.fdocuments.us/reader036/viewer/2022081419/56814d9d550346895dbaf75c/html5/thumbnails/57.jpg)
57
HW-3
3-16, 3-17, 4-4, 4-14, 4-23(a)-(d)