INTERFACE DEVELOPING FOR HATA MODEL USING MATLAB NOR LIAN BINTI MOHD NORDIN A project report submitted in partial fulfillments of the requirements for the award of the degree of Master of Electrical (Electronics and Telecommunications) Faculty of Electrical Engineering Universiti Teknologi Malaysia MAY 2008
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INTERFACE DEVELOPING FOR HATA MODEL USING MATLAB
NOR LIAN BINTI MOHD NORDIN
A project report submitted in partial fulfillments of the
requirements for the award of the degree of
Master of Electrical (Electronics and Telecommunications)
Faculty of Electrical Engineering
Universiti Teknologi Malaysia
MAY 2008
iii
Especially dedicated to;
My beloved husband,
Azli B.Moh,
My son and daughter,
My mother …
Pn Sharifah Ain Bt Syed Rasdi
And in memory of my father…
En Mohd Nordin B. Hj Othman
&
To all my family
Thank you for your support
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ACKNOWLEDGEMENT
Highest praise to the almighty for giving the determination and ability to
complete this project.
First of all, I would like to take this opportunity to express my deepest thanks
to my supervisor, Prof. Dr. Tharek B. Abd. Rahman for his invaluable guidance,
encouragement and suggestion throughout this project. I’ve really appreciate the
knowledge and advises he generously share with me. His attitude in helping me to
successful my project are cannot be fully expressed.
I would like to extend my sincere thanks and appreciation to my colleagues
friends for their friendship, co-operation and encouragement during study.
Most of all, I would like to express my indebtedness to my family especially
my husband for their moral support, affection and encouragement in all my
undertaking.
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ABSTRACT
Mobile radio communications in cellular radio take place between a fixed
base station (bs) and a number of roaming mobile stations (ms). From the research
that have been taken place over the years, those involving characterisation an
modeling of the radio propagation channel are amongst the most important and
fundamental. The propagation channel is the principal contributor to many
problems and limitations the best mobile radio systems. One obvious example is
multipath propagation which is the major characteristic of mobile radio channels. It
is caused by diffraction and scattering from terrain features and buildings, that leads
to distortion in analogue communication systems and severely affects the
performance of digital systems by reducing the carrier –to-noise and carrier-to-
interference ratios. A physical understanding on mathematical modeling of the
channel is very important because it facilitates more accurate prediction of system
performance and provides the mechanism to test and evaluate methods to see the
effects caused by the radio channel. The main objectives of this project is to select
one of the propagation prediction model and used this model to develop an interface
using Matlab software. With this simulation, hope that this interface can be one of
the friendly interface to the user.
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ABSTRAK
Perhubungan komunikasi ‘handphone’ dalam sistem komunikasi radio adalah
komunikasi antara satu stesen tetap dengan beberapa lingkaran sel komunikasi
‘handphone’. Dari penyelidikan yang telah dilakukan, kajian mengenai faktor-faktor
yang mempengaruhi sistem perhubungan radio adalah yang paling penting dan
terkini. Saluran yang digunakan dalam sistem perhubungan radio adalah faktor yang
penting mempengaruhi kepada kebaikan dan keburukan sesuatu sistem. Salah satu
dari masalah yang timbul adalah daripada pelbagai isyarat yang terbentuk daripada
pantulan dinding, bangunan dan sebagainya yang membawa kepada perubahan pada
isyarat analog dan juga kesan dari sistem digital. Pemahaman yang mendalam
mengenai bagaimana isyarat dan saluran perhubungan itu dicipta perlu untuk
meramalkan atau memperbaiki lagi sistem perhubungan ke arah sistem yang lebih
berkualiti dan mampu mewujudkan satu mekanisma yang boleh dilakukan untuk
menguji sistem tersebut. Objektif projek ini dilaksanakan adalah memilih salah satu
daripada model yang digunakan dalam system perhubungan dan menggunakan
model ini sebagai antaramuka dengan menggunakan program Matlab. Moga
antaramuka ini akan menjadi satu antaramuka yang mudah dan senang digunakan.
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TABLE OF CONTENTS
CHAPTER TITLE PAGE
DECLARATION ii
DEDICATION iii
ACKNOWLEDGEMENT iv
ABSTRACT v
ABSTRAK vi
TABLE OF CONTENTS vii
LIST OF TABLES x
LIST OF FIGURES xi
LIST OF APPENDICES xiii
1 INTRODUCTION 1
1.0 Project Objectives 1
1.1 Problem Statement 1
1.2 Thesis Outline 2
1.3 Wireless Communication 2
1.4 Radio Spectrum Classification 3
1.5 Propagation in free space loss 6
1.6 Summary 10
2 RADIO PROPAGATION MODELS 11
2.1 Introduction 11
2.2 Types of radio propagation 12
2.2.1 Indoor Attenuations 12
2.2.1.1 Physical Effects 12
2.2.1.2 Examples of Indoor Models 14
a) ITU Indoor Model 14
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b) Log Distance Path Loss Model 16
2.2.2 Outdoor Attenuations 18
2.2.2.1 Foliage Models 18
a) Weissberger’s Modeified Model 18
b) Early ITU Model 19
2.2.2.2 Terrain Models 20
a) Egli Model 20
b) Longley-Rice Model 20
c) ITU Terrain Model 21
2.2.2.3 City Models 22
a) Young Model 22
b) Okumura Model 23
c) Hata Model 27
d) Cost 231 Model 29
e) Cost 231 Walfish-Ikegami Model 30
f) Lee Model 33
2.2.3 Environmental Effects 37
a) ITU Rain Attenuation Model 37
b) Crane Model 39
2.3 Summary 39
3 SIMULATION USING MATLAB 41
3.1 Overview of Matlab 41
3.2 Why do I choose Matlab Software? 41
3.3 Graphical User Interface (GUI) 42
3.4 GUI works 43
3.4.1 Components 43
3.4.2 Figures 43
3.4.3 Callback 44
3.5 Creating and Displaying GUI 46
3.6 Summary 46
4 INTERFACE FOR HATA MODEL 47
4.1 Flow chart on how to make interface 47
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4.2 Layout for Hata Model 48
4.3 Set the properties of the button 49
4.4 M-File 50
4.5 Error Dialog Box 51
4.6 Interface for Hata Model 52
5 DISCUSSION 53
5.1 Conclusions and recommendations 53
5.2 Summary on some propagation model 55
References 56
Appendices A - C 59 - 74
x
LIST OF TABLES
TABLE NO. TITLE PAGE
2.1 Measure of accuracy of simple model 13
2.2 Loss of signal power with distance 15
2.3 Floor penetration loss factor 16
2.4 Calculations of coefficients 10γ and σ in dB 17
2.5 Estimated values of ∆h 21
2.6 Relevant value for rooftop-to-street diffraction
and scatter-loss (Lrts) 32
2.7 Relevant value for multiscreen diffraction loss
Lmsd 33
2.8 Values for P ro and γ 36
3.1 Some basic GUI 45
5.1 Path loss model 55
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LIST OF FIGURES
FIGURE NO. TITLE PAGE
1.1 Block diagram of a typical Wireless
Communication System 3
1.2 Frequencies of radio spectrum is classified into
multiple groups 5
1.3 Received power for different value of Loss
parameter v 6
1.4 Mechanisms of propagation model 7
1.5 Reflection mechanisms 8
1.6 Diffraction mechanisms 9
2.1 Basic median path loss relative to free space in
urban areas over quasi-smooth terrain 25
2.2 Base station height/gain factor in urban areas as
a function of range with reference height = 200m 25
2.3 Vehicular antenna height/gain factor in urban
areas as a function of frequency and urbanisation
with reference height = 3m 26
2.4 Method of calculating the effective base station
antenna height 26
2.5 Example path loss predicted by Hata’s model 28
2.6 Average Path Loss for Urban Areas 29
2.7 Parameters used in Walfisch-Ikegami model 31
2.8 Definition of street orientation 31
2.9 Parameter for Lee Model 34
2.10 Rain Loss for ITU Rain Zones at 0.9999
Availability (or 0.01% Un-availability) 38
3.1 Figure Window showing examples of
xii
MATLAB GUI elements 44
4.1 Flow chart on interface for Hata Model 47
4.2 Hata model Interface 48
4.3 Property Inspector 49
4.4 M-file automatically created by guide after
save the layout area 50
4.5 Warning Box 51
4.6 Interface 52
xiii
LIST OF APPENDICES
APPENDIX TITLE PAGE
A Callbacks Function / Command 59
B Comparisons of various types of model 73
C Glossary of terms 74
CHAPTER 1
INTRODUCTION
1.0 Project Objectives
The objective of this project is related to the study of various prediction
models for mobile radio communication system in order to predict the coverage of
the base station. It also involves literature review of different prediction models
available.
This project will also involve a simulation model based on propagation
prediction model which the simulation will be design on Hata - Okumura Model
using Matlab software.
At the end of this project, complete reports on designing simulations using
Matlab will be produced.
1.1 Problem Statement
Hata Model is the popular model that being used to calculated the losses in
urban, sub-urban and open areas. This model can improve the problems that came
from rough terrain, buildings, reflection, moving vehicle and shadowing which bring
bad accuracy to the radio communication. This model is being extended from
Okumura Model which all of the graphical form is described into mathematical form
in Hata Model. In order to make sure that all of the calculations is easier to know and
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accurate, a design on Interface for Hata Model has to be made. This interface can be
very useful for the user to make calculations without any doubt and easy.
1.2 Thesis Outline
The first chapter will be focus on basic communication where it describe
radio wave propagation , studied the channel and their limitations and some basic
problems such as reflection, scattering, diffraction of signal by natural and human-
made structures which result to attenuation problems.
Chapter two is focus on various types of radio propagation model which will
be covered Indoor and Outdoor Attenuation model. Some overview on Matlab and
GUI software will be covered in chapter three. It will describe on GUI basic tools
that will be used in this simulation.
The result for this project and outcomes is in chapter four which include the
interface development for Hata Model. Lastly, some discussion and summary about
this project is covered in the last chapter.
1.3 Wireless Communication
Communication between the sending and receiving is accomplished by the
propagation of electromagnetic radio waves through the ground and atmosphere. All
communication system operates in the same channel and this will make interference
from every other. This interference can be avoided by implementing geographic or
frequency separation. Below is depicts of typical wireless communication system.
3
Figure 1.1 Block diagram of a typical Wireless Communication System
1.4 Radio Spectrum Classification
The radio spectrum is divided into sub-bands based on each frequency range's
suitability for a given set of applications. Suitability is determined as a function of
the atmospheric propagation characteristics of the given frequencies as well as
system aspects, such as required antenna size and power limitations.
Based on these considerations, the radio spectrum has been divided into the
following sub bands:
a) Extremely Low Frequency (ELF) 300 - 3000 Hz (λ =1000 - 100 km)
Very Low Frequency (VLF) 3 - 30 kHz (λ =100 - 10 km)
Propagation Characteristics: Propagates between the surface of the Earth and
the Ionosphere. Can penetrate deep underground and underwater. As the required
antenna size is proportional to the wavelength, the large wavelength in this case
mandates the use of large antennas.
Applications: mining, underwater communication (submarines), SONAR.
b) Low Frequency (LF) 30 - 300 kHz (λ =10 - 1 km)
Propagation Characteristics: The sky wave can be separated from the ground
wave for frequencies above 100 kHz. This enables communication over large
distances by reflecting the sky wave off the atmosphere.
4
Applications: broadcasting, radio navigation.
c) Medium Frequency (MF) 300 - 3000 kHz (λ =1000 - 100 m)
Propagation Characteristics: The sky wave separates from the ground wave in
this range. Ground wave gives usable signal strength up to 100 km from transmitter.
Applications: AM radio broadcasting (550 - 1600 kHz).
d) High Frequency (HF) 3 - 30 MHz (λ =100 - 10 m)
Propagation Characteristics: The sky wave is the main propagation mode.
The ground wave is used for communication over shorter distances than the sky
wave. As propagation loss increases with frequency increases, the use of repeaters is
required.
Applications: Broadcasting over large areas, amateur radio (ham), citizens band (CB)
radio.
e) Very High Frequency (VHF) 30 - 300 MHz (λ =10 - 1 m)
Propagation Characteristics: Diffraction (bending of waves due to
obstruction) and reflection give rise to communication beyond the horizon.
Propagation distances are thousands of kilometers. The diffraction and reflection
enables reception within buildings.
Applications: broadcast TV, FM radio (88 - 108 MHz), radio beacons for air traffic
control.
f) Ultra High Frequency (UHF) 300 - 3000 MHz (λ =1 m - 10 cm)
Propagation Characteristics: Reflections from atmospheric layers are
possible. Effects of rain and moisture are negligible.
Applications: broadcasting, satellite (TV) broadcasting, all (1G to 3G) land mobile
phones, cordless phones, some air traffic control.
5
g) Super High Frequency (SHF) 3 - 30 GHz (λ =10 - 1 cm)
Propagation Characteristics: Range becomes limited by obstacles as
frequency increases. Propagation is limited by absorption by rain and clouds.
Applications: Satellite service for telephony and TV, mobile services in the future.
h) Extremely High Frequency (EHF) 30 - 300 GHz (λ =10 - 1 mm)
Propagation Characteristics: Very high losses due to water, oxygen, vapor.
Applications: communications at short distances (within line of sight), broadcast
satellite for HDTV (for communication between satellites in space, not space to
earth).
Figure 1.2 Frequencies of radio spectrum is classified into multiple groups
6
1.5 Propagation in free space loss
Propagation in free space is the ideal. Generally the received power can be
expressed as:
For non-Line of sight received power at any distance d can be expressed as:
[ ]
+=
d
dvdPdP
ref
refrr 1010 log10)(log10)(
Figure 1.3 Received power for different value of Loss parameter v
Path Loss formula is expressed as:
(1.1)
(1.2)
(1.3)
7
When propagation takes place close to obstacles, the following propagation
mechanisms occur:
Figure 1.4 Mechanisms of propagation model
a) Reflection will occur when a radio wave strikes an object with dimensions
that are large relative to its wavelength, for example buildings. Perfect conductors
will reflect with no attenuation. Dielectrics reflect a fraction of incident energy such
as “Grazing angles” reflect max and steep angles transmit max. (max -The exact
fraction depends on the materials and frequencies involved). The reflection induces
180° phase shift.
When electrical signal propagating through a medium impinges on a different
medium with different electrical characteristics, the electrical signal is partly
reflected back to the previous media and part of the signal is transmitted through the
obstructing medium. If the signal is propagating through a dielectric medium, there is
no absorption of the signal due to reflection. Otherwise part of the energy of the
signal will be absorbed by the medium. If the reflected media is a perfect conductor,
all energy of the signal is reflected back to the first medium.
The intensity of the electric field for the transmitted and reflected signals are
related to the incident electrical signal through the Fresnel Reflection Coefficient
(G). The Fresnel Reflection Coefficient depends on the properties of the material,
like permeability(m), permittivity(e) and conductance(s) of the two media and the
frequency of the propagating wave.
8
Figure 1.5 Reflection mechanisms
b) Diffraction
Diffraction will occurs when a radio wave is obstructed by surfaces with
irregularities. Diffraction allows radio signals to propagate around the curved
surface of the earth and that in turn allows the propagation to travel behind a building
or obstruction. The received signal drops significantly as the receiver moves deep
behind an obstruction. The phenomenon of diffraction is explained by Huygen’s
principle. It states that all signal points on the signal wave acts as a point source to
produce the secondary signal waves that travels in the direction of propagation.
Secondary waves arise from the obstructing surface and give rise to the
bending of waves around and behind obstacles. “Secondary” waves propagated into
the shadowed region. This make the excess path length results in a phase shift.
Fresnel zones relate phase shifts to the positions of obstacles. These secondary
waves reaches the shadowed region of the obstruction and the vector sums of all
these secondary waves provides the signal to the receiver.
The phase difference between the direct line of sight path and the diffracted
path depends upon the height of the obstruction and the locations of the transmitter
and receiver.
θ θr θ
t
9
Figure 1.6 Difraction mechanisms.
c) Scattering
Scattering will occurs when a radio wave travels through a medium
containing lots of small (compared to wavelength) objects.
The actual signal received at a mobile station, is often stronger than the signal
strength estimated by considering reflection and diffraction of signals. The reason for
this is the Scattering. When radio waves hits a rough surface, the reflected energy is
scattered in different directions. Many natural objects like trees and man-made
structures like electrical lamp posts scatter radio energy in all directions. This
scattered signal reaches the receiver and increases the signal strength. The scattering
depends upon the roughness of the surface. Surface Roughness is stated in terms of
the Rayleigh criteria, defined in terms of critical height (hc) of surface protuberances
for given incident angle of reflection(θi)
hc = l / 8SinθI (1.4)
A surface is considered smooth if its minimum to maximum protuberances is
less than hc. and it is considered rough when the minimum to maximum
protuberances is more than hc . On rough surface, the reflected signal energy is
reduced due to this scattering effect. For distant objects, where the physical location
T R
1st Fresnel zone
Obstruction
10
of the object is known, Radar Cross Section Model of the object can be used to
predict the scattering effect.
1.6 Summary
Radio waves are a form of electromagnetic radiation, which was discovered
in the late 19th century. The branch of physics that describes how antennas and
radiation behave is called electrodynamics. Many design decisions in layers above
wave propagation are affected by the issues mentioned.
There are several factors have to be taken into account in deciding what
frequency band should be used for a particular type of radio communication service.
Operating frequencies must be chosen in a region of the RF spectrum where it is
possible to design efficient antennas of a size suitable for mounting on base station
masts, vehicles and on hand portable equipment. Since the mobiles can moved
around freely within the area covered by the radio system, their exact location is
unknown and the antennas must therefore radiate energy uniformly in all directions.
Based on the fact that each individual telecommunication link has to
encounter different terrain, path, obstructions, atmospheric conditions and other
phenomena, it is impossible to formulate the exact loss for all telecommunication
systems in a single mathematical equation. As a result, different models exist for
different types of radio links under different conditions. The models rely on
computing the median path loss for a link under a certain probability that the
considered conditions will occur.
Finally, mobile systems must efficiently manage the scarce frequency bands.
Choosing the correct frequency will leads to a better and sufficient outcomes.
CHAPTER 2
RADIO PROPAGATION MODELS
2.1 Introduction
There are two basic types of propagation prediction models which are
empirically based and calculation based.
Empirical models are generally based on the original work of Okumura in the
mid 1960’s. This provides coefficients which are applied to the ideal propagation
figures depending on the nature of the terrain in the propagation path.
Calculation models are making use of the unknown characteristics of objects
in a propagation path. A detailed terrain and clutter database must then be used to
calculate the propagation path loss from the transmitter to the point under
consideration.
A Radio Propagation, is also known as the Radio Wave Propagation Model
is an empirical mathematical formulation for the characterization of radio wave
propagation as a function of frequency, distance and other conditions. A single
model is usually developed to predict the behavior of propagation for all similar links
under similar constraints.
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2.2 Types of Radio Propagation
2.2.1 Indoor Attenuations
2.2.1.1 Physical Effects
Indoor attenuations will have effects from obstacles such as walls, ceilings
and furniture usually block the path between receiver and transmitter. It also depends
on the building construction and layout, the signal usually propagates along corridors
and into other open areas.
Indoor radio propagation is ruled by multiple reflection, diffraction and
scattering from natural and man-made obstructions in the indoor channel. However
the circumstances vary much more than in outdoor environments. The received
signal of an antenna mounted on a desk at an open space office with partitions are
very different from those received at an antenna mounted on the outdoor propagation
links. The small propagation distances make it more difficult to insure far-field
radiation for al the receiver locations and types of antennas. Partitions are amongst
the main indoor signals losses reasons, they occur when terminal antennas are
assembled at the same floor and losses between floors occur when terminals are in
clutter (NLOS) conditions.
The problem of modeling radio wave penetration into buildings differs from
the more familiar vehicular case in several respects. In particular:
a) The problem is truly three-dimensional because at fixed distance from the
base station the mobile can be at a number of heights depending on the floor of the
building where it is located. In an urban environment it may result in there being an
LOS path to the upper floors of many buildings, whereas it is a relatively rare
occurrence in city streets.
13
b) The local environment within a building consists of a large number of
obstructions. These are constructed of a variety of materials in close proximity to the
mobile and their nature and number can change over quite short distances.
Indoor radio differs from normal mobile radio in two important respects
which are the interference environment and the fading rate. The interference
environment is often caused by spurious emissions from electronic equipment such
as computers and the level sometimes be much greater than measured outside. It also
have a substantial variations in signal strength from place to place within a building.
The signal can be highly attenuated after propagating a few metres through walls,
ceilings and floors or may still be very strong after propagating several hundred
metres along a corridor. The signal – to – interference ratio is unpredictable and
highly variable.
Unsatisfactory performance in wideband systems can also be caused by
intersymbol interference due to delay spread and limits of data rate. In narrowband
systems, multipath and shadow fading limit the coverage whereas interference causes
major problems even within the intended coverage area.
Table 2. 1 Measure of accuracy of simple model.
14
2.2.1.2 Examples of Indoor Models
a) ITU Indoor Propagation Model
The ITU Indoor Propagation Model is used to estimates the path loss inside a
room or a closed area inside a building delimited by walls of any form. It is suitable
for appliances designed for indoor use which it approximates the total path loss an
indoor link may experienced. This model is applicable to only indoor environments.
Typically such appliances use lower microwave bands around 2.4 GHz. The
coverage is 900 MHz to 5.2 GHz. The formula that being used is:
L = 20 log f + N log d + Pf (n) – 28 (2.1)
Where;
L = the total path loss. Unit: decibel (dB).
f = Frequency of transmission. Unit: megahertz (MHz).
d = Distance. Unit: meter (m).
N = The distance power loss coefficient.
n = Number of floors between the transmitter and receiver.
Pf(n) = the floor loss penetration factor.
The distance of power loss coefficient, N is the quantity that expresses the
loss of signal power with distance. This coefficient is an empirical and some of the
values are provided as below:
15
Table 2.2 Loss of signal power with distance
Frequency Band Residential Area Office Area Commercial Area
900 MHz N/A 33 20
1.2 GHz N/A 32 22
1.3 GHz N/A 32 22
1.8 GHz 28 30 22
4 GHz N/A 28 22
5.2 GHz N/A 31 N/A
The floor penetration loss factor is an empirical constant dependent on the
number of floors the waves need to penetrate. Some of the values are tabulated in
Table 2.3:
16
Table 2.3 Floor penetration loss factor.
[Frequency
Band
Number of
Floors
Residential
Area
Office
Area
Commercial
Area
900 MHz 1 N/A 9 N/A
900 MHz 2 N/A 19 N/A
900 MHz 3 N/A 24 N/A
1.8 GHz n 4n 15+4(n-1) 6 + 3(n-1)
2.0 GHz n 4n 15+4(n-1) 6 + 3(n-1)
5.2 GHz 1 N/A 16 N/A
b) Log Distance Path Loss Model
This model predicts path loss a signal encounters inside a building over
distance. This model is applicable to indoor propagation modeling.
Log Distance Path Loss model is formally expressed as:
L = Lo + 10 γ log10 do
d+ Xg (2.2)
17
Where;
L = The total path loss inside a building. Unit: Decibel (dB)
L0 = The path loss at reference distance, usually, 1 km or 1 mile. Unit: Decibel (dB)
γ = The path loss distance exponent.
Xg = A Gaussian random variable with zero mean and standard deviation, reflecting
the shadow fading or slow fading.
The calculation of empirical coefficients is shown in the table below:
Table 2.4 Calculations of coefficients 10γ and σ in dB
Building Type Frequency of Transmission 10γ σ
Retail store 914 MHz 22 8.7
Grocery store 914 MHz 18 5.2
Office with hard paritition 1.5 GHz 30 7
Office with soft partition 900 MHz 24 9.6
Office with soft partition 1.9 GHz 26 14.1
Textile or chemical 1.3 GHz 20 3.0
Textile or chemical 4 GHz 21 7.0, 9.7
Metalworking 1.3 GHz 16 5.8
Metalworking 1.3 GHz 33 6.8
18
2.2.2 Outdoor Attenuations
Outdoor propagation models are used to understand the link performance of
Macro Cellular systems. The propagation of radio waves is strongly influenced by
the nature of the environment, the size and buildings. A qualitative description of the
environment is often used a term such as rural, urban, suburban and open areas. The
term rural defines open farmland with sparse buildings, woodland and forests. These
qualitative descriptions are open to different interpretations by different users based
on measurements made in one city are generally applicable elsewhere.
Examples of Outdoor Attenuations are stated as below:
2.2.2.1 Foliage Models
a) Weissberger’s Modified Exponential Decay Model
Weissberger’s Modified Exponential Decay Model, or simply, Weissberger’s
Model, is a radio wave propagation model that estimates the path loss due to the
presence of one or more trees in a point-to-point telecommunication link. This model
belongs to the category Foliage or Vegetation models. It is formulated in 1982 being
develop of ITU Model for Exponential Decay.
This model is applicable to the cases of line of sight propagation. For
example is microwave transmission. This model only applicable when there is an
obstruction made by some foliage in the link between the transmitter and receiver. It
is ideal in the situation where the LOS path is blocked by dense, dry and leafy trees.
The frequency for this model is 230 MHz to 95 GHz and the depth of foliage is up to
400 m.
This model is only significant for frequency range 230 MHz to 95 GHz as
pointed by Blaunstein. The limitations for this model are it does not defines the
19
operation if the depth of vegetations is more than 400m. Weissberger’s is formally
formulated as:
L = 1.33 f 0.284
d 0.588
, if 14 < d ≤ 400
0.45 f 0.284
d , if 0 < d ≤ 14 (2.3)
Where
L = The loss due to foliage. Unit: decibels (dB)
f = The transmission frequency. Unit: gigahertz (GHz)
d = The depth of foliage ‘’’along’’’ the path. Unit: meters (m)
b) Early ITU Model
The ITU Vegetation Model is a radio propagation model that estimates the
path loss encountered due to the presence of one or more trees inside a point to point
telecommunication link. The predictions found from this model is congruent to those
found from Weissberger’s Modified Exponential Decay Model in low frequencies.
This model is adopted in late 1986 from the CCIR predecessor of ITU.
This model is applicable on the situations where the telecommunication link
has some obstructions made by trees along its way. It also suitable for point-to-point
microwave links that has a vegetation in their path. The typical application of this
model is to predict the path loss for microwave links.
The limitation of this model is the result of this model will be impractical at
high frequencies. The model is formulated as:
L = 0.2 f 0.3
d 0.6
(2.4)
Where;
L = The path loss. Unit: decibel (dB)
f = The frequency of transmission. Unit: megahertz (MHz)
d = The depth of foliage along the link: Unit: meter (m)
20
2.2.2.2 Terrain Models
a) Egli Model
Egli Model is a terrain model for radio frequency propagation. This model
predicts the total path loss for a point-to-point link. Typically used for Line of Sight
transmission, this model provides the path loss as a single quantity.
This model is suitable for cellular communication scenarios where one
antenna is fixed and other is mobile. It is applicable to the scenario where the
transmission has to go over an irregular terrain. Egli model is not applicable to a
scenario where some vegetative obstruction is in the middle of the link. This model
predicts the path loss as a whole and does not subdivide the loss into space loss and
other losses.
Egli model is formally expressed as:
L = GBGM
22
2
40
fd
hbhm (2.5)
Where;
GB = Gain of the base station antenna. Unit: dimensionless
GM = Gain of the mobile station antenna. Unit: dimensionless
hB = Height of the base station antenna. Unit: meter (m)
hM = Height of the mobile station antenna. Unit: meter (m)
d = Distance from base station antenna. Unit: meter (m)
f = Frequency of transmission. Unit: megahertz (MHz)
b) Longley-Rice Model
The Longley-Rice (LR) radio propagation model is a method for predicting
median path loss for a telecommunication link in the frequency range of 20 MHz to
20 GHz. LR is also known as Irregular Terrain Model (ITM). It was created for the
21
needs of frequency planning in TV broadcasting in USA in 1960s and was
extensively used for preparing the tables of channel allocations for VHF/UHF public
broadcasting in USA. LR has two parts which are a model for predictions over an
area and a model for point-to-point link predictions.
The method may be used either with detailed terrain profiles for actual paths
or with profiles representatives of median terrain characteristics for a given area. It
includes estimates of variability with time and location and a method of computing
service probability. The range for this model is 1 to 2000 km and antenna heights are
from 0.5 to 3000 m. The formulation can be expressed as:
L = d
−
−
12
21
dd
AA + 5 log 10 [ ]
∆−+ −54
1
10)(5.0)(78.01 xdhdhfhh cbm ℓ (2.6)
Where:
A1 and A2 is diffraction losses
∆h is as stated in table 2.4 below:
Table 2.5 Estimated values of ∆h
Type of terrain ∆h
Water or very smooth plains 0 – 5
Plains ~ 30
Hills 80 – 150
Mountains 150 – 300
Rugged Mountains 300 - 700
c) ITU Terrain Model
The ITU Terrain Loss Model is a radio propagation model that provides a
method to predict the median path loss for a telecommunication link. Developed on
the basis of diffraction theory, this model predicts the path loss as a function of the
height of path blockage and the First Fresnel zone for the transmission link.
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This model is applicable on any terrain. This model accounts for obstructions
in the middle of the telecommunications link, and is suitable to be used inside cities
as well as in open fields. It is ideal for modeling a Line of sight link in any terrain.
This model is considered valid for losses over 15 dB.
The model is mathematically formulated as:
A = 10 – 20 ( hL – h0 ) ( 17.3 fd
dd 21 ) (2.7)
CN = h F1
Where:
A = Empirical Diffraction Loss. Unit: Decibel(dB)
CN = Normalized terrain clearance. Unit: None.
h = The height difference. Unit: Meter (m)
hL = Height of the line of sight link. Unit: Meter(m)
h0 = Height of the obstruction. Unit: Meter(m)
F1= Height of First Fresnel Zone. Unit: Meter(m)
d1= Distance of obstruction from one terminal. Unit: Meter(m)
d2= Distance of obstruction from the other terminal. Unit: Meter(m)
f = Frequency of transmission. Unit: Megahertz(m)
d = Distance from transmitter to receiver. Unit: Meter (m)
2.2.2.3 City Models
a) Young Model
Young model is a Radio propagation model that was builds on the data
collected on New York City. It typically models the behaviour of cellular
communication systems in large cities. It was built on the data at New York City in
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1952. This model is ideal for modelling the behaviour of the cellular communications
in large cities with tall structures. The coverage for this model is 150 MHz to 3700
MHz.
The mathematical formulation for Young Model is:
L = GBGM β2
2
d
hh MB (2.8)
Where:
L = The Path loss. Unit: Decibel (dB)
GB = Gain of Base transmitter. Unit: Decibel (dB)
GM = Gain of Mobile transmitter. Unit: Decibel (dB)
hB = Height of Base station antenna. Unit: Meter (m)
hM = Height of Mobile station antenna. Unit: Meter (m)
d = Link distance. Unit: Kilo Meter (km)
β = Clutter factor
b) Okumura Model
This is the most popular model that being used widely The Okumura model
for Urban Areas is a Radio propagation model that was built using the data collected
in the city of Tokyo, Japan. The model is ideal for using in cities with many urban
structures but not many tall blocking structures. The model served as a base for Hata
models. Okumura model was built into three modes which are urban, suburban and
open areas. The model for urban areas was built first and used as the base for others.
Clutter and terrain categories for open areas are there are no tall trees or
buildings in path, plot of land cleared for 200 – 400m. For examples at farmland, rice
fields and open fields. For suburban area the categories is village or highway
scattered with trees and houses, few obstacles near the mobile. Urban area categories
is built up city or large town with large buildings and houses with two or more storey
or larger villager with close houses and tall, thickly grown trees.