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OUTDOOR PROPAGATION PREDICTION AND MEASUREMENT FOR WLAN APPLICATION SAURDI BIN ISHAK UNVERSITI TEKNOLOGI MALAYSIA

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Page 1: Modelos Empiricos Teoricos y Fisicos

OUTDOOR PROPAGATION PREDICTION AND MEASUREMENT

FOR WLAN APPLICATION

SAURDI BIN ISHAK

UNVERSITI TEKNOLOGI MALAYSIA

Page 2: Modelos Empiricos Teoricos y Fisicos

PSZ 19:16 (Pind. 1/97)

UNIVERSITI TEKNOLOGI MALAYSIA

BORANG PENGESAHAN STATUS TESIS

JUDUL: OUTDOOR PROPAGATION PREDICTION AND MEASUREMENTS FOR WLAN APPLICATION

SESI PENGAJIAN: 2005/2006

Saya SAURDI BIN ISHAK

(HURUF BESAR)

mengaku membenarkan tesis (PSM/Sarjana/Doktor Falsafah)* ini disimpan di Perpustakaan Universiti Teknologi Malaysia dengan syarat-syarat kegunaan seperti berikut:

1. Tesis adalah hakmilik Universiti Teknologi Malaysia. 2. Perpustakaan Universiti Teknologi Malaysia dibenarkan membuat salinan untuk

tujuan pengajian sahaja. 3. Perpustakaan dibenarkan membuat salinan tesis ini sabagai pertukaran antara institusi

pengajian tinggi. 4. **Sila tandakan ( )

SULIT (Mengandungi maklumat yang berdarjah keselamatan atau kepentingan Malaysia seperti yang termaktub di dalam (AKTA RAHSIA RASMI 1972)

TERHAD (Mengandungi maklumat TERHAD yang telah ditentukan oleh organisasi/badan di mana penyelidikan dijalankan)

TIDAK TERHAD Disahkan oleh

(TANDATANGAN PENULIS) (TANDATANGAN PENYELIA)

Alamat tetap: Nama Penyelia:

LOT 1183, JALAN HELANG, PROF. DR. THAREK ABD. RAHMAN KPG. SEMERAH PADI, 93050KUCHING, SARAWAK.

Tarikh: 25 APRIL 2006 Tarikh: 25 APRIL 2006

CATATAN: * Potong yang tidak berkenaan. ** Jika tesis ini SULIT atau TERHAD, sila lampirkan surat daripada pihak

berkuasa/organisasi berkenaan dengan menyatakan sekali sebab dan tempoh tesis ini perlu dikelaskan sebagai SULIT atau TERHAD.

Tesis dimaksudkan sebagai tesis bagi Ijazah Doktor Falsafah dan Sarjana secara penyelidikan, atau disertasi bagi pengajian secara kerja kursus dan penyelidikan, atau Laporan Projek Sarjana Muda (PSM).

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“I hereby, declare that I have read this thesis and in my

opinion this thesis is sufficient in terms of scope

and quality for the award of degree of

Master of Engineering (Electrical-Electronic & Telecommunication Engineering)

Signature : ______________________

Name of Supervisor : PROF.DR.THAREK BIN ABD.RAHMAN

Date : 25 APRIL 2006

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OUTDOOR PROPAGATION PREDICTION AND MEASUREMENT

FOR WLAN APPLICATION

SAURDI BIN ISHAK

A project report submitted in partial fulfilment of the

requirements for a award of the degree of

Master of Engineering (Electrical-Electronics & Telecommunication)

Faculty of Electrical Engineering

Universiti Teknologi Malaysia

MAY 2006

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I declare that this thesis “Outdoor Propagation Prediction and Measurements for

WLAN Application” is the result of my own research except for works that have

been cited in the reference. The thesis has not been accepted any degree and not

concurrently submitted in candidature of any other degree.

Signature : ______________________

Name of Author : SAURDI BIN ISHAK

Date : 25 APRIL 2006

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To my dearest mother, father and family for their encouragement and blessing

To my beloved classmate for their support and caring … … …

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ACKNOWLEDGEMENT

Alhamdullillah, I am grateful to ALLAH SWT on His blessing in completing

this project.

I would like to express my gratitude to honourable Professor Dr. Tharek

Abdul Rahman my supervisor of Master’s project. Under his supervision, many

aspects regarding on this project has been explored, and with the knowledge, idea

and support received from him, this thesis can be presented in the time given.

Finally, I would like to dedicate my gratitude to my parents, my family and

friends especially my classmate Ibrahim, Abdul Rahman, Masrul, Ilyasak, Sabrina

and Ismail who helped me directly or indirectly in the completion of this project .

Their encouragement and guidance mean a lot to me. Their sharing and experience

foster my belief in overcoming every obstacle encountered in this project.

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ABSTRACT

Propagation prediction and measurement plays an important role in the

design and implementation of outdoor WLAN application. In this project, a three-

dimensional (3-D) ray tracing technique: Site Specific Outdoor / Indoor Propagation

Prediction Code will be used to predict outdoor propagation effect in Tun Chancellor

Hostel, University Technology Malaysia. Propagation prediction will be done within

five blocks of building which area covers 215 X 235 meter consists of 11 locations

receiver . The carrier frequencies are 2.4 GHz (IEEE 802.11b) and Patch antenna as a

transmiter. Then measurements of signal strength using AirMagnet software will be

carried out within the research area.

2

The objective of this project is to study on the losses of signal strength when

it travels through Line of Sight (LOS) and effect on building (NLOS). Then do

simulation of signal propagation and signal strength prediction at Tun chancellor

Hostel (KTC) building and measurement of signal strength in determines places in

KTC. In order to show the Propagation of signal the simulation code will be

visualized using Matlab. The Airmagnet tool will be used for the measurements and

results between simulations will be compared.

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ABSTRAK

Ramalan perambatan memainkan peranan yang penting dalam rekabentuk

dan pemasangan system Wlireless LAN terbuka. Dalam projeck ini, perisian jenis 3

dimensi ray tracing-Site specific Outdoor / Indoor Propagation Prediction Code

akan digunakan untuk melakukan ramalan perambatan dan kekuatan signal pada lima

blok bangunan di Kolej Tun Chencellor, Universiti Teknologi Malaysia, dengan

keluasan tempat ramalan 215 X 235meter mengandugi 11 lokasi penerima.

Frekuensi pembawa ialah 2400MHz (IEEE 802.11b) dengan Pacth antenna sebagai

pemencar.

2

Objectif project ini adalah untuk mengkaji kecekapan dan liputan (coverage)

bagi kawasan terbuka dan kesan bangunan kepada kekuatan signal. Keputusan yang

didapati daripada perisian ini dalam bentuk teks dan dengan menggunakan Perisian

Matlab perambatan gelombang radio dapat dipaparkan. Kemudian satu pengukuran

kekuatan signal akan dilakukan dengan mengunakan perisin Airmagnet dan

keputusan ramalan dan pengukuran kekuatan signal akan dibuat perbandingan .

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CONTENTS

SUBJECT PAGE

TITLE i

DECLARATION ii

DEDICATION iii

ACKNOWLEDGEMENT IV

ABSTRACT v

ABSTRAK vi

CONTENTS vii

LIST OF TABLES xi

LIST OF FIGURES xii

LIST OF ABBREVIATIONS xvi

CHAPTER 1 INTRODUCTION 1

1.1 Overview 1

1.2 Objective 2

1.3 Scope of Project 3

1.4 Layout of Thesis 3

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CHAPTER 2 WIRELESS COMMUNICATION TECHNOLOGY 5

AND WIRELESS LAN

2.1 Introduction 5

2.2 Wireless Networks 6

2.2.1 Cellular Networks 7

2.2.2 Wireless Local Area Networks 8

2.3 Wireless Local Area Network (WLAN) Standard 10

2.3.1 Current IEEE Standards 11

2.3.1.1 802.11 Standard 11

2.3.1.2 802.11b Standard 11

2.3.1.3 802.11a Standard 11

2.3.1.4 802.11g Standard 12

2.3.2 The IEEE 802.11b/g 12

2.4 Wireless Local Area Network (WLAN) Architecture 13

2.5 Benefits of WLANS 14

2.6 Summary 15

CHAPTER 3 RADIO WAVE PROPAGATION 16

3.1 Introduction 16

3.2 Free Space Propagation 17

3.3 Basic Propagation Mechanisms 19

3.4 Multipath Fading 20

3.5 Classifications of Propagation and Channel Models 23

3.5.1 Empirical Model 23

3.5.2 Theoretical Model 24

3.5.3 Physical Model 24

3.6 Classic Propagation Model 25

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3.6.1 Diffraction losses and Fresnel Zone 26

3.6.2 The Okumura Model 27

3.6.3 The Lee Model 27

3.7 Development of Ray Tracing Modelling 27

3.8 Accuracy of Ray Tracing Modelling 33

3.9 Summary 34

CHAPTER 4 PROPAGATION PREDICTION AND MEASUREMENTS 35

4.1 Introduction 35

4.2 Site Survey 37

4.3 Introduction to Ray Tracing Simulation Tool 39

4.4 Algorithm of Simulation Software 41

4.5 Databases for Simulation 43

4.5.1 Building database 43

4.5.2 Receiver Database 44

4.5.3 Terrain Elevation Database 44

4.5.4 Antenna Radiation Pattern Database 45

4.6 Simulation Command Input 46

4.7 Output of the prediction Tool 47

4.7.1 Impulse Response Output 48

4.7.2 Power and Delay Spread Output 49

4.7.3 Ray Path Information Output 49

4.8 Result Visualization 51

4.9 Field Measurement 53

4.9.1 AirMagnet WLAN Analyzer 53

4.9.2 Field Measurement Flow Chart 54

4.9.3 The AirMagnet WLAN Analyzer Measurement 55

4.10 Summary 57

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CHAPTER 5 SIMULATION AND MEASUREMENTS RESULTS 58

5.1 Introduction 58

5.2 The Vertical-Plane-Launch output and code Visualization 59

5.3 AirMagnet and characteristics of signal strength. 62

5.4 The simulation and measurement result 63

5.5 Summay 67

CHAPTER 6 CONCLUSION & FUTURE WORKS 68

6.1 Conclusion 68

6.2 Future work 69

REFERENCES 70

APPENDICES A-B 76-111

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LIST OF TABLES

TABLE NUMBER TITLE PAGE

4.1 Command input simulation 47

5.1 Simulation and Measurement 64

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LIST OF FIGURES

FIGURE NUMBER TITLE PAGE

2.1 Cellular Network 7

2.2 Typical LAN and WLAN configuration 9

3.1 Short term and long term fading 22

3.2 Fresnel Zone 25

4.1 Methodology Process 36

4.2 Photo one of KTC Hostel 37

4.3 Rolling hills and Trees at KTC 38

4.4 Site Map Plan 38

4.5 Approximation 3D ray tracing using vertical plane 39

4.6 Rays Generation in horizontal plane 40

4.7 Flow Chart of VPL method 42

4.8 Databases Visualization 45

4.9 Antenna radiation pattern 46

4.10 Example of impulse response output 50

4.11 Example of power delay spread output 50

4.12 Example of ray path information output 51

4.13 VPL ray tracing visualization using Matlab 52

4.14 AirMagnet Laptop Analyzer 53

4.15 Field Measurement Flow Chart 54

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4.16 Transmitters and Receiver Location 55

4.17 Wireless Multi-client Bridge/AP 56

4.18 Patch Antenna 56

4.19 S15 and S14 viewfrom S01 57

5.1 Power and delay spread output 59

5.2 Characteristics Power and spread out 60

5.3 Ray paths visualization for buildings S15, S14, S13, S12,

S11and S01 61

5.4 The reflection and diffraction of ray at locations 9,10 and11 61

5.5 (a) Signal strength versus time at location 1 62

(b) Signal strength versus time at location 2 62

5.6 Average power received Vs location 63

5.7 Signal strength as a function of distance 64

5.8 Best-Fit-Line 65

5.9 shows the measurement of signal strength in Tun

Chancellor Hostel 66

5.10 Comparison result of Measurement and simulation

Of signal strength 66

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LIST OF ABBREVIATIONS

1G first generation

2G second generation

3G third generation

2D two-dimensional

3D three-dimensional

AM amplitude modulation

AP access point

BS base station

DSSS direct sequence spread spectrum

EIRP effective isotropic radiated power

FCC Federal Communication Commision

FM frequency modulation

GBSBM Geometricall theory of diffraction

GTD geomettrical theory protocol

GUI graphic user interface

I/O input output

IDU indoor unit

IEEE Instituteuf Electrical and Electronics Engineers

IP Interenet Protocol

ISM industrial, scientific and medical

LAN Local Area Network

LOS line of sight

MAS Mobile Switching Center

NLOS non line of sight

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ODU outdoor unit

PDF probability density function

PSTN Public Switched Telephone Network

rms root mean square

SBR shooting and bouncing ray

UHF ultra high frequency

UNII unlicensed national information infrastructure

UTD uniform theory of diffraction

UTM Universiti Teknologi Mara

VPL vertical plane launch

WCC Wireless Communication centre

WLANs Wireless Local Area Network

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CHAPTER 1

INTRODUCTION

1.1 Overview

The basic components of the WLAN are access points (AP) and the

mobile clients (MC), typically a laptop or a PDA with a WLAN card. To create a wired

network infrastructure, Ethernet cables are placed through out the building and then

buildings reconnected together using fiber optic cables. With a Wireless LAN, in order

to create the network infrastructure APs are placed in various locations throughout a

building and even outdoors. Various mobile clients then communicate with each other

by first communicating with these access points.

One of the primary principles of WLAN connections is that network data is

transmitted as modulated electromagnetic waves using antennas. When the radio waves

propagate or travel from one device to another there are several issues has to highlight.

The radio energy attenuate when it propagates and the radio signal also attenuated when

they pass through obstacles such as trees and buildings. There are three basic

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mechanisms that occurred when radio waves propagates reflection, diffraction and

scattering. The scattering problem occurs when RF can reflect off many thing and the

direct signal combines with the signals have reflected off of object that are not in direct

path. This problem usually described as multipath, fading, Rayleigh fading or signal

dispersion.

In this project the radio waves propagation for outdoor environments will be

investigated using the Wireless LAN 802.11b at the frequency band 2.4 GHz. This

project involved the study of the effect on building within the access point install

outdoors and than get the propagation prediction and measurements. To determine the

electromagnetic interaction with the surrounding environment a ray vertical code

employing a modified shoot and bounce ray (SBR) method known as the Vertical Plane

Launch (VPL) will be used for the prediction. Software called Matlab will be used to

visualize a ray tracing code. The field measurement can be done using AirMagnet

Wireless LAN Analyzer than the prediction and measurement result will be compared.

1.2 Objective

The objectives of this research are to investigate the outdoor propagation for

WLAN 802.11b application that involved the prediction and measurement of signal

strength in an outdoor environment at Kolej Tun Chancellor with taking account of the

building effects. In other words this research aim for a site specific signal strength study

and then observe effect of obstacle, but here only taking account of building effects.

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1.3 Scope of Project

1- The physical model is to predict propagation effect in the related site by using ray

ray tracing simulation program based on vertical-plane-Launch (VPL) technique

courtesy of Bertoni, Xia, and Liang.

2- Collect four types of databases (building, terrain, receiver and antenna radiation

antenna radiation pattern ) that needed in the simulation.

3- The VPL ray tracing code visualized using MATLAB.

4- The AirMagnet HANDHELD Wireless Lan Analyzer that installed in Laptop used

for field measurement.

5- Observe the effect of building to the signal direction in Matlab Visualization

as well as signal strength degradation due to building.

6- Analyze the signal strength of two methods, prediction and field measurement.

1.4 Layout of Thesis

This section outlines the structure of the thesis.

The first chapter briefly introduces this project by elaborating on the project

overview, objectives, and scope of project. Second and third chapter are written based

on the findings from the literature. Chapter two discuss the wireless communication

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technology and concentrates on Wireless LAN and its application, whereas chapter three

discuss about the Radio Wave Propagation and the development ray tracing Modeling.

Chapter 4 contains the methodology process for the propagation prediction and

measurements by showing up the detailed diagram of the project methodology and

highlights briefly the steps have been taken to meet the objectives of this project.

Chapter 5 discusses the simulation and measurements results. The performance of signal

strength between simulation and measurements will be analyzed for LOS and NLOS.

Chapter 6 concludes the topics and suggests recommendation for future works.

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CHAPTER 2

WIRELESS COMMUNICATION TECHNOLOGY AND WIRELESS LAN

2.1 Introduction

The world of wireless technology has come a very long way since Gudlielmo

Marconi first demonstrated radio’s ability to provide continuous contact ships sailing the

English Channel on 1897. Over the past century, wireless transmission has progressed

through the development of radio, radar, television, satellite and mobile telephone [1].

In early years of wireless communication, radio was the most intensively

deployed technology, both in the public domain and by law enforcements

establishments. In 1934, 194 municipal police radio system and 58 state police stations

had adopted amplitude modulation (AM) mobile communication system for public

safety in the U.S. It was estimated that 5000 radios were installed in mobiles in the mid

1930s.

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AM was the transmission used Edwin Armstrong demonstrated the feasibility of

frequency modulation (FM) in 1935. Subsequently, Fm has been the main modulation

method deployed for mobile communication system worldwide since the late 1930s.

World war II accelerated the improvements of the world’s deployment of one-way and

two-way radio and television systems flourished [2].

The space age opened many new opportunities for radio communications

between widely separated locations. Instead of high frequency terrestrial system with

limited bandwidth or a large number of short-range microwave relays, Satellite can link

distant locations from a point high above the earth. By the mid-1960s, launch vehicles

were delivering communications to locations in the geostationary satellite orbit. Today

geostationary communications satellites continue to play a major role in

telecommunications. Another wireless communication technology is the Low Earth

Orbit (LEO), made up of satellites that communicate directly with handheld telephones

on earth [3].

The growth of cellular radio and personal communication systems began to

accelerate in the late 1970s. The growth was spurred on with the successive introduction

of the first generation (1G), second generation (2G and third generation (3G) cellular

systems.

2.2 Wireless Networks

Wireless networking is currently the fastest growing technology in

communication and computing. The past decade has seen new technologies develop,

ranging from digital cellular phones to WLANs. New protocols and standards are

constantly being developed, making the network more efficient and secure. Even the

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devices used on such networks are getting increasingly ‘smart’. Newer mobile devices

are smaller but more powerful and offer a range of flexible features with some

technologies often overlapping. Some new cellular phones, for instance, are flexible

enough to be used as mobile computers, PDAs and GPS Receivers with applications

ranging from telecommunications and wireless internet access to location sensing. The

following sections provide a brief overview of some of these wireless technologies.

2.2.1 Cellular Networks

Cellular networks have fast developed into an extensive wireless communication

infrastructure providing wireless voice and data communications with almost world-

wide coverage. Use of cellular phones is greatly increasing worldwide, and the number

of cell phone subscribers has quadrupled to over half a billion in the past five years. A

cellular network is a wireless communication service area subdivided into hexagonal

areas termed as cells. These cells vary in size from a few kilometers in diameter, in

modern digital networks, to around a hundred kilometers in older analog networks. Each

of these cells has a base station (cellular tower) associated with it.

Figure 2.1 shows a simplified cellular architecture [2].

Figure 2.1 Cellular Network

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Each base station has a certain range of radio frequency channels associated with

it. To avoid overlap and radio interference, these channels are different from channels

associated with all of its neighboring cells. Channels can be reused in cells that are far

enough so that no interference occurs. These cells are grouped together as clusters for

required coverage area.

All the Base Stations (BS) are connected to a Mobile Switching Center (MSC)

using fixed links. Each MSC of a cluster is then connected to the MSCs of other clusters

and a Public Switched Telephone Network (PSTN) switching centre. The MSC stores

information about the subscribers located within the cluster and is responsible for

directing calls to them.

One of the most important issues in cellular networks is tracking of a mobile

client when it is moving through a network. To counter this, cellular networks use

Location Management techniques. Location Management essentially involves two

processes, location update and paging. Location update is the information provided by

the mobile device to the network about its current location. Paging, on the other hand, is

done by the network where it actively queries the mobile device to find out what cell it is

located in, so that the incoming call can be routed correctly to the appropriate BS [2].

2.2.2 Wireless Local Area Networks

The Local Area Networks (LAN) are the next common type of network, when

two computers are connected together they form a network of computers. A LAN can be

composed of anywhere from just a few to several hundred computers connected together

by physical Ethernet cables. The motivation for the growth of LANs started in the 1970s

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to make it possible to share expensive resources such as printers. By connecting all the

computer terminals in an office to the LAN, and then connecting one printer to the LAN,

all the terminals could share one printer. Eventually LANs were connected to other

LANs; such as a home office and a remote office. Networks of geographically

distributed LANs are also known as Wide Area Networks (WAN). The most familiar

WAN is the Internet which interconnects computers and LANs world wide [5].

A Wireless LAN (WLAN) is a network in which the medium for connecting

nodes or computers is wireless. A WLAN is conceptually very similar to both a cellular

network and a LAN. The major differences between cellular and WLAN are in how they

are implemented and include “the method of delivery of data to users, data rate

limitations and frequency band regulations” . While a cellular network was designed to

serve similar functions to that of traditional telephone networks, a WLAN was designed

to serve the functions of a Wired LAN. The breakthrough in both of these networks is

that devices on the network do not need to be connected together by a physical wire in

order to communicate and instead use radio waves as the communication medium.

Figure 2.2 shows typical LAN and WLAN Configuration relates WLANs, LANs, and

clients. One possible WAN configuration might connect two or more of these

LAN/WLANs that are separated by a long distance.

Figure 2.2 Typical LAN and WLAN configuration

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The original motivation behind these networks was to reduce the cost and

complexity involved in laying down wires. Though that is still a major part of choosing

to deploy a wireless network, more and more it is about the convenience it that provides

to the user and the new applications that have emerged through the availability of

WLANs. One particular benefit can be seen when setting up a network in a historical

building. In such building the physical impact of creating a network is minimized by not

having to lay down LAN cables. The benefits also lie in the multitude of devices can be

connected to WLANs which include traditional PCs, notebook computers, PDAs, and

appliances such as televisions and stereo systems. There are two main categories of

WLANs: infrastructure networks in which there is a backbone and ad hoc networks with

no backbone.

2.3 Wireless Local Area Network (WLAN) Standard

Most common wireless network equipment is subject to IEEE standardization.

The IEEE standards for wireless LAN s describe the specifications for the physical layer

and the Wireless LAN Medium Access Control (MAC) Layer. The standards describe

these layers in detail in order to allow chip manufacturers to use it as a guideline for

producing wireless LAN card chips.

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2.3.1 Current IEEE Standards

2.3.1.1 802.11 Standard

This is the original standard no longer applicable to new products. Still found in

several existing systems. Its main features include:

Frequency Hopping (FH) and Direct Sequence (DS)

Systems using 802.11 over bandwidth to 2 Mbps using the 2,4 GHz frequency.

2.3.1.2 802.11b Standard

This is the current standard used, especially in Europe because 802.11a still isn’t

ratified.

Its main features include:

Direct Sequence (DS)

11 Mbps, 2,4 GHz

Backward compatibility to 802.11 (DS)

2.3.1.3 802.11a Standard

This is the new standard, already available in the United States, but not in

Europe. One reason is that the 5 GHz frequency band is used by several other

technologies in some European states and not only wireless LANs. Also the

ETSI decides if such a standard can be used in Europe and as yet have not

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ratified it as it does not support Dynamic Frequency Selection (DFS) and

Transmit Power Control (TPC). The (American) 802.11.a Standard includes the

following main features:

Orthogonal Frequency-Division Multiplexing (OFDM)

54 Mbps, 5 GHz

No support for Backward Compatibility

2.3.1.4 802.11g Standard

Standard that supports a higher data rate for 2,4 GHz with maximum 22 Mbps,

offering compatibility with existing 802.11b systems

There are various ways how this can be solved and it looks like developers are

not quite sure about which way to turn. Therefore, it is unsure if 802.11g will

ever actually be finished

2.3.2 The IEEE 802.11b/g

When the wireless LAN industry began the transition 900 MHz to 2.4GHz in the

mid-1990s, many underestimated the challenges associated. While the benefits of

operation in 2.4GHz relative to 900 MHz were well understood (international operation

and a greater number of available channels), the peculiarities of 2.4GHz tended to less

well defined by vendors. When the 802.11g that has more data rate 53 Mb/s appropriate

with 802.11b in the same 2.4 GHz band the 802.11b/g tended to be more power full

Wireless LAN.

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The benefit of 802.11g is higher performance with backward compatibility. The

802.11g uses the same transmission type and modulation as 802.11a and therefore

support the same data rates. The 802.11g uses the orthogonal frequency division

multiplexing (OFDM) transmission whereas fairly robust in terms of term interference

and multipath distortion and makes efficient use of a given amount of spectrum, in

another word the 802.11g more efficient than 802.11b that used (DSSS). The backward

compatibility gives advantage to the 8092.11b/g[4].

2.4 Wireless Local Area Network (WLAN) Architecture

The basic components of the WLAN are access points (AP) and the mobile

clients (MC), typically a laptop or a PDA with a WLAN card. To create a wired network

infrastructure, Ethernet cables are placed through out the building and then buildings are

connected together using fiber optic cables. With a Wireless LAN, in order to create the

network infrastructure APs are placed in various locations throughout a building and

even outdoors. Various mobile clients then communicate with each other by first

communicating with these access points [4].

In the simplest configuration there is one AP at the center and one or more MCs

spread out around the AP. When additional APs are added the coverage area of the

network increases and the MC selects to closest AP to communicate with. The entire

WLAN could consist solely of APs and MCs but it is common to find APs connected to

other APs by Ethernet cable, and the network of APs then connected to a LAN or the

internet through other networking devices. Such an arrangement is especially beneficial

if a wired network is already deployed at a site. APs can be placed at locations far from

each other where they provide local coverage, but the MCs in each local coverage area

can still communicate with each other since the APs are connected to the wired network.

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2.5 Benefits of WLANS

There are many obvious benefits to using a WLAN design, most of which hinge

around the problems with typical wired LANs. Convenience is certainly a benefit to

using wireless communications. With wireless, as long as you are in range of an AP, you

have a connection to the network. This is a tremendous advantage to mobile sales forces,

personnel performing physical inventories of a warehouse, or IT professionals who may

need to get access to data from anywhere in a building. Using wireless technology

makes it easy and effective to let people physically go wherever they need to go and still

be able to access any data that they need from the network.

Another benefit to using a WLAN is that cable distance limitations become less

of an issue. There are many situations where the distance between the network link and

the end user is such that the signal strength is degraded by the time the cable has been

routed up walls, through floors, and around permanent objects [5]. Wireless

communications negate this by doing direct “line-of-sight” connections to a system. The

signal strength from a wireless AP or network card is typically between 150 to 300 feet

indoors (depending on the design and structure of the building) and up to 1000 feet

outdoors. Obviously, the 1000-foot outdoor range outdistances the maximum unshielded

twisted pair (UTP) cable length of 328 feet. In addition, a wireless signal can be boosted

by using more than one AP or by using a wireless relay to extend the range even farther.

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2.6 Summary

This chapter provides the literature on the wireless communication technology

that has been the most rapidly deployed technology in this century’s. The WLAN is one

of the very famous wireless network and most of private sector and also education center

implement this system. The IEEE standards for wireless LAN describe the specification

for the physical layer and Medium Access Control (MAC) Layer. The Standards

describe these layers in detail in order to allow chip manufacturers to use it as a

guideline for producing wireless LAN card chips. From the various types of WLAN

standards, the 802.11b will be chosen for the propagation prediction and measurements.

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CHAPTER 3

RADIO WAVE PROPAGATION

3.1 Introduction

An understanding of radio propagation is essential for coming up with

appropriate design, deployment, and management strategies for any wireless network. In

effect, it is the nature of the radio channel that makes wireless networks far more

complicated then their wired counterparts. Radio propagation is heavily site-specific and

can vary significantly depending on the terrain, frequency of operation, velocity of the

mobile terminal, interface sources, and other dynamic factors. Accurate the

characterization of the radio channel through key parameters and a mathematical model

is important for predicting signal coverage, achievable data, specific performance

attributes of alternative signalling and reception schemes, analysis of interference from

different systems, and determining the optimum location for installing base station

antennas [17].

Nowadays most of people or companies interested to use WLAN for their work

because it’s more economical, easier and consumes a less time. One of the parameter of

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17

WLAN is the wavelength of the radio waves used by a WLAN is significantly smaller

than the obstructions that the radio waves encounter; therefore, we can simplify the

study of these waves by treating them as rays traveling in straight lines. The shortest

path that a wave can take is the unobstructed path or the Line-Of-Sight (LOS). When

obstructions are encountered, the signal has to take multiple paths to travel from the

transmitter to the receiver. This behavior, called Multipath Delay Spread, introduces a

delay in the transmission time when compared to LOS. Another property of the radio

propagation that can cause delays is the Doppler Spread which quantifies the

fluctuations caused by the movement of the transmitter, receiver, or the objects in

between them. The Doppler spread is especially relevant when considering moving

vehicles and airplanes. Two concepts that are prerequisite to the mathematical modeling

of radio propagation are transmission power and signal strength. Radio propagation is

the transfer of energy and is measured in terms of units of power or Watts. This power is

measured at the transmitter (transmission power) and also measured at the receiver; the

signal strength is the total amount of power measured at the receiver. Due to the nature

of radio wave propagation the latter measurement is less than the former because the

signal looses power as it moves through the air in the form of radio waves.

3.2 Free Space Propagation

Free space transmission is primary consideration in essentially wireless

communication system. In this case of line of sight (LOS) propagation, there are no

obstructions due earth’s surface or other obstacles. The received power, , at the

receiving antenna located at a distance, , from transmitter is given by Friss free space

propagation as (2.1)

rp

d

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18

2

4 dGGPP rttr (2.1)

The equation of path loss for Friss space model, is written as

24

.1 d

GGP

PL

rtr

tf (2.2)

dfGGdBL rtf log20log20log10log1045.32)( (2.3)

Where

rP received power

tP transmitted power

wavelength =f

c

c speed of light (3x10 m/s) 8

f carrier frequency in Mega Hertz

tG gain of the transmitter

tG gain of the reciver

d antenna separation distance in Kilometer

fL free space loss

Equation (2.2) and (2.3) indicate that free space path loss is frequency

dependence and is increasing against distance. The free space attenuation increases by 6

dB whenever the length of the path or the frequency is doubled.

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3.3 Basic Propagation Mechanisms

Reflection, diffraction, and scattering are the three basic propagation

mechanisms in wireless communication system. These mechanisms cause radio signal

distorts and give rise to signal fading, as well as additional signal propagation losses.

These mechanisms are briefly explained in this section.

Reflection occurs when a propagating electromagnetic wave impinges upon an

object that has very large dimensions compared to the wavelength of the propagating

wave. Reflection occurs from the surface of the ground, from walls, and from furniture.

When reflection occurs, the wave may also be partially refracted. The coefficients of

reflection and refraction are functions of the material properties of the medium, and

generally depend on the wave polarization, the angle of incidence, and the frequency of

the propagating wave [6].

Diffraction occurs when the radio path between the transmitter and receiver is

obstructed by a surface that has sharp edges. The waves produced by the obstructing

surface are present throughout space and even behind the obstacle, giving rise to the

bending of waves around the obstacle, even when a line of sight (LOS) path does not

exist between the transmitter and receiver. At high frequencies, diffraction - like

reflection - depends on the geometry of the object, as well as on the amplitude, phase,

and polarization of the incident wave at the point of diffraction [2], [6].

In many practical situations, the propagation path may consist of more than one

obstruction. Hence, Billington’s method, Epstein-peterson method, and Deygout method

had been suggested many approximate approaches to find multiple knife-methods had

been many approximate approaches to find multiple knife-edge diffraction loss.

However, extending to more knife-edges, it becomes a formidable mathematical

problem. Hence, T.F. Eibert and P. Kuhlmann had combined the result of empirical

model with own measurements results and applied a modified diffraction algorithm in

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20

order to obtain good radio propagation prediction with very low consumption of

computational resources [7].

Scattering occurs when the medium through which the wave impinges upon an

object with dimensions that are small compared to the wavelength, such as rough

surfaces, small objects, of other irregularities in the channel. When a radio wave

impinges on a rough in all directions and providing additional radio energy at a receiver.

This leads to the actual received signal is often stronger than what is predicted by

reflection and diffraction models alone, when the additional radio energy is in phase

with received signal [8].

3.4 Multipath Fading

In most radio channels, the transmitted signal arrives at the receiver from various

directions over a multiplicity of paths. The phase and amplitude of a signal arriving on

each different path are related to the path length and conditions o the path. Solving the

Maxwell’s equations with boundary conditions representing the physical properties and

architecture of te environment can do an exact analysis of the multipath propagation.

Unfortunately, this method is computationally burdensome, and even with today’s most

sophisticated computers, only the simplest structure can be treated.

Hence, in order to be able to assess the performance capabilities of various

wireless systems, root mean square (rms) delay spread is a good measure to grossly

quantify the different multipath channels. The equation for rms delay spread ( ) used is

22 )( (2.4)

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21

With mean excess delay ( )

kk

kkk

P

P

)(

)( (2.5)

and

KK

kKK

p

P

)(

)( 2

2 (2.6)

where )(P is the relative amplitudes of the multipath components and is the time

delay during multipath energy falls..

In addition to the delay, the channel provides a tome varying gain to the

transmitted signal. In general, the channel gain can be decomposed into a path loss with

large scale (long term) shadowing component and a small scale (short term) fading

component. The path loss represents the local mean of the channels gain and is therefore

dependent on the distance between transmitter and receiver and also on the propagation

environment. The short term fading and long term fading are due to multipath

propagation and independent of the distance between transmitters and receiver sees

Figure 3.1. Reyleigh or Rician distribution can characterize the short term fading [1].

These fading models are typical for mobile and cellular networks. The fading is due is

due to unknown local changes in the propagation environment such people moving

around the room, passing vehicles, and tree moving in the wind.

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22

Figure 3.1 Short term and long term fading

For channel with dominant signal component present, the effect of the dominant

signal arriving with weaker multipoath signals gives rise to the Rician distribution. To

specify the Rician distribution, we have parameter K that is defined as the ratio between

the deterministic signal power and the variance of the multipath. The equation used is

expressed in (2.7).

dBA

dBK2

2

2log10)( (2.7)

Where

A peak amplitude of dominant signal

standard deviation of the local power

As the dominant signal becomes weaker ( and ), the Rician

distribution degenerates to a Rayleigh distribution. Rayleigh distribution is the most

commonly used for multipath fading all signals suffers nearly same attenuation, but

arrive with different phases.

0A K

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3.5 Classifications of Propagation and Channel Models

Propagation model basically predicts what will happen to the transmitted signal

from transmitter to the receiver. According to Rapport and Sandhu [9], propagations

models are not only needed for installation guidelines, but they are a key part of any

analysis or design that strives to mitigate interference. Also, capacity and system

performance prediction are only as good as the channel models upon are based. There is

an extensive with paper published as early as the mid-1930s [10]. Here, propagation and

channel models are divided into three basic classifications that are empirical, theoretical

and physical models.

3.5.1 Empirical Models

Empirical models fundamentally use experimental measurement data to produce

a relationship between the propagation circumstances and expected field strength or time

dispersion results. It can also be developed from measurements made in laboratory or

with scale models of propagation environments. This approach is based on fitting curves

or analytical expressions that recreate set of measured data. This has advantage of taking

account all propagation factors, both known and unknown through actual field

measurements. However, the validity of an empirical model at transmission frequencies

or environments other than those used to derive the model can only be established by

additional measured data in new environment at the required transmission frequency.

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24

3.5.2 Theoretical models

Theoretical models are based on same theoretical assumptions about the

propagation environment. These models are also called statistical model. These models

are useful for analytical studies of the behavior of communication systems under a wide

variety of channel response circumstances. Though, due to they do not deal with any

specific propagation information, they are not suitable for planning communication

systems to serve a particular area. Hence, they usually rely on assumptions that lead to

mathematical formulations. The Geometrically Based Single Bounce Marcrocell

(GBSBM) channel model by Petrus et al. [11] and Quasai – wide- sense stationary

uncorrelated scattering (Quasi-WSSUS) channel model by Bello [12] are examples of

theoretical models.

3.5.3 Physical Models

Physical model rely on the basic principles of physics and take into account the

propagation environment. These models can be either site specific or not site specific. A

physical and not site specific model uses physical principles of electromagnetic wave

propagation to predict signal levels in a generic environment in order to develop some

simple relationship between the characteristics of that environment and propagation . An

example of this model by W.Ikegami and H.L. Bertoni for mobile radio systems in urban

areas, where roof edges are considered as a series of diffracting screens with final

diffraction from building roof to the street level being included [13].

In opposition, a physical and site specific channel model not only uses the

physical law of electromagnetic wave propagation but also have a systematic technique

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25

for mapping the real propagation environment into the model propagation environment.

Epstein-Peterson method, Deygout Method, Longley Rice model, and Anderson two

dimensional (2D) model which only predict signal attenuation over terrain, and also ray

tracing model which provides time dispersion information and angle of arrival

information are the examples of physical and site specific channel model [14 ].

3.6 Classic Propagation Model

Initial techniques to predict signal strength in shadowed regions relied heavily on

classical Fresnel theory and the concept of single knife-edge diffraction. As a simple

explanation, a Fresnel Zone is the area around the visual line-of-sight that radio waves

spread out into after they leave the transmitting antenna as shown in Figure 3.2. This

area must be clear or else signal strength will weaken. A Fresnel zone can be simplified

as an ellipsoid indicating Radio Line of Sight from the transmitter to receiver. In this

project, a blockage refers to an obstacle blocking the radio line of sight instead of visual

line of sight to implement the effect of Fresnel Zone.

Figure 3.2 Fresnel Zone

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26

3.6.1 Diffraction losses and Fresnel Zone

A wave front expands as it travels, causing reflections and phase changes as it

passes over an obstacle [15].This result in a diffraction loss of signal. The Fresnel

Phenomenon occurs in zones. The accepted added clearance to an obstacle is 0.6 of the

first Fresnel zone. The added clearance can be calculated

Added clearance (ft) = 0.6(2280) 2

1

21

21

( ddL

dd (2.8)

Where

d =distance from transmitter antenna to path obstacle, kilometer

2d =distance from receiver antenna to obstacle, kilometer

L =wavelength, ft

Below is the introduction of some popular radio wave propagation models

3.6.2 The Okumura Model

The Okumura et al. method is based on empirical data collected in

detailed propagation tests over various situations of an irregular terrain and

environmental clutter. The results are analyzed statistically and compiled into diagrams.

The basic prediction of the median field strength is obtained for the quasi-smooth terrain

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27

in an urban area. A correction factor for either an open area or a suburban area is also

taken into account. Additional correction factors, such as for a rolling hilly terrain, an

isolated mountain, mixed land-sea paths, street direction, general slope of the terrain

etc., make the final prediction closer to the actual field strength values [16].

3.6.3 The Lee Model

W. C. Y. Lee proposed this model in 1982. In a very short time it became widely

popular among researchers and system engineers (especially among those employed by

U.S. companies) mainly because the parameters of the model can be easily adjusted to

the local environment by additional field calibration measurements (drive tests). By

doing so, greater accuracy of the model can be achieved. In addition [16], the prediction

algorithm is simple and fast.

3.7 Development of Ray Tracing Modeling

The application of ray tracing methods to propagation prediction for

communication systems has been around several decades. It is a widely used technique

to predict propagation effects in mobile and personal communication environments. This

section describes some of the ray tracing modeling and current development of this

modeling.

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28

Ray tracing is used to identify all possible ray paths between transmitter and a

receiver in multipath channels, compute their amplitude and delay and finally perform

the coherent combination of all the taking into account antenna pattern and gain. [19].

In order words, it approximates electromagnetic waves as discrete propagating rays that

undergo attenuation, reflection, and diffuse scattering phenomena due to the presence of

buildings, walls, and other obstructions. The total received electric field at a point is the

summation of the electric fields of each multipath component that illuminates the

receiver. These models have the advantage of taking 3D environments into account, and

are thus theoretically more precise. In addition, they are adaptable to environment

changes such as transmitter location, antenna position and frequency and predict

wideband behavior as well as the wave’s direction arrival.

A ray tracing technique that incorporates site-specific environmental data, such

as location, the orientation, and electrical properties of building has been used to predict

path loss and delay spread in Virginia Tech campus, USA [20]. The researchers

concentrated on the determination of power delay profiles at fixed receiver locations.

The ray tracing methodology discussed by Thomas Kurner [21] focused on the average

propagation loss, associated with a receiver as it moves through an urban environment.

An excellent agreement between measured and predicted path loss and multipath time

delay profiles has been obtained [21].

In 1996, Orlando Landon et al. highlighted that propagation studies in

microcellular environments have shown that significant nultipath components arise from

reflection off building surfaces [22]. Hence, ray tracing techniques must reliably the

influence of these building and other obstructions. For specularly reflected ray path

(reflection for which parallel incident rays remain parallel after reflection), the Fresnel

reflection coefficients can be used to predict the reflection loss of building surface,

provided its dielectric properties are known. In order to provide enhanced reflection

coefficient models for buildings, measurements at 1.9 GHz and 4.0 GHz have been

made for a variety of typical smooth and rough exterior building surfaces. The measured

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test surfaces include walls composed of limestone blocks, glass, and brick. Comparison

of theoretical calculations and measured test cases that reflection coefficients adequately

predict the reflective properties of the mentioned building surfaces. These results cab be

applied to ray tracing algorithm for the purpose of propagation prediction microcellular

environment.

Besides, Catedra et al, have reviewed commonly used tracing techniques and has

developed a new method called Angular Z-Buffer (AZB) technique in 1998 [23].

According to the authors, ray tracing cab classified into 2 groups, which are direct

algorithms and inverse algorithm. Direct algorithms (pincushion, shooting and bouncing

ray) are those in which the ray tubes are shot from the source to all the space directions.

The models that proposed by Schaubach [20] and Seidel [24] are grouped as direct

algorithms. These algorithms have been widely used in urban scene. In general, they

work well for visualization problems. However, the computation of the field transported

by each one o the ray tubes generated in the diffraction is very cumbersome, because the

diffracted field is not a spherical wave, as is usually assumed in most pincushion

algorithms. Another difficulty is unable to find the accurate phase when the stigmatic

tube is not spherical. Inverse algorithm is a more complicated algorithm, which checks

all possible paths and well suited to compute diffraction, phase and polarization

accurately. For these reasons, they have selected the inverse method [25], [26] for the

UHF band propagation analysis. From comparison among measurement and prediction,

the AZB ray-tracing algorithm is efficient for design purpose in mobile communication

application.

At the same year, George Liang and Henry L. Bertoni have presented a VPL

technique for approximating a full three-dimensional (3D) site-specific ray trace to

predict propagation effects in cities [18]. The VPL approach for specular reflections

from vertical surfaces and diffraction at vertical edges and approximates diffractions at

horizontal edge by restricting the diffracted rays to lie in the plane incidence. Compared

to the 3D shooting and bouncing ray (SBR) method or the 3D image method that can

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30

handle at most one or two diffractions at horizontal edges. Due to the use of reflection

coefficient for a dielectric half space with 75r give the least error with

measurements, 6r is used for the reflection coefficient at walls. The model proposed

was validated with a large number of measurements for both rooftop and street level

transmitters in various locations in Rosslyn, V.A., USA. Besides, the prediction results

are very good in comparison to the other theoretical empirical methods used for site

specific propagation prediction.

In addition, S.Y. Tan and C.L. Chua emphasized that the factors must be taken

into account in a comprehensive propagation model including direct diffraction over

propagation model, multiple diffraction at edges of the building, and scattering from

surrounding building [27]. They applied a ray tracing model and showed good

agreement in the comparison between the measured and predicted wideband delay

profiles and path loss at different locations in cellular scene where the base station is

mounted on a rooftop.

In 2001, Blaunstein ei al. concentrated on the influence of buildings’ overlay

profile on signal spatial decay and on path loss dependence in frequency domain with

UHF/X-band urban propagation channel [28]. The researchers suggested some models to

be employed in cases where buildings are randomly distributed on a hilly terrain. The

suggested models include the well-known 2D deterministic model [29]-[30] and

mathematical ray tracing model by George Liang and Henry L. Bertoni [18].

Alternatively, they introduced the statistical description of the actual building pattern

inside the city and determine the field intensity based on the pattern as done as models

suggested above. Theoretical predictions have been compared with the experimental

data, which obtained from measurements in different kind of built up areas. It is found

that the 3D model is a very good prediction with a mean error of 5 or 6 dB for the loss

characteristic and their frequency dependence in built up area.

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31

The accuracy of a ray tracing technique based on a full 3D implementation of

GO/UTD (Geometrical Optics/ Uniform Theory of Diffraction) had been analyzed [31].

Comparison between measurements and simulations has been carried out for different

campus buildings of Cantabria, Spain in 1.8 GHz and 2.5 GHz. The authors had been

presented a set of results with the average error of prediction was 0.0045 dB and its

standard deviation was 2.54 dB for narrowband analysis. This showed a good agreement

between measurements simulations. Besides, nine local power delay profiles were

averaged. The comparison of measured and simulated power delay profiles showed that

the amplitudes and arrival times of the main multipath component could be well

predicted.

Zhong et al. shows the extension of the method used by Jan and Jeng 1997 and

proposed a new 3D model for indoor communications [32]. The researchers have

presented the application of several ray tracing techniques, in combination with UTD in

the propagation prediction for UHF (Ultra High Frequency) band in an indoor

environment. The proposed model took just 1% of the computational time compared to

traditional 3D model. Measurements were carried out at Sheng Jio Tong University,

Shanghai. To ensure that propagation channel were stationary in time, the measured data

was average over ten instantaneously sampled values. The predicted and measured

results for path loss matched closely.

Besides, the development of ray tracing launching tools in [18], [26], [33], and

[34] is highlighted [35]. However, since ray tracing accounts only for rays that undergo

specular reflection and diffractions, it still fails to properly describe diffuse scattering

phenomena, which can have significant impact on propagation. Hence, Degli-Eposti et

al. have presented an efficient diffuse scattering model using simple and analytic

formulas [35]. This model based on ray approach and can be easily integrated into a ray

tracing field prediction tool.

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In order to overcome the limitations of the existing diffraction coefficient used in

ray tracing programs, a new diffraction coefficient has been developed [36]. The author

presented the influence of the diffraction coefficient and the shape and electrical

properties of building corners on the prediction of received power and the Liang and

Henry L. Bertoni [18] has been applied to incorporate with new developed diffraction

coefficient.

Benard De Backer et al. explored the propagation properties of UHF wave

traveling through building structures, in particular windows. [37]. The rat tracing is

benchmarked against both narrow band measurements and the results of a full wave

moment method technique. This is due to propagation, into and around the building

structure is governed by complex propagation mechanism, and may not be cooperated

into high frequency approximation that ray tracing provides.

As there are so many ways of ray tracing implementation, [19], [38]– [39] divide

the ray tracing software module into two main options, known as ray launching, and

point-to point ray tracing approach. Both of them have their individual advantages and

disadvantaged. Ray tracing computes all rays receiver point individually but require an

extremely high computation times. Thus, to make this technique computationally

feasible, many acceleration techniques had been proposed to be implementing in this

approach. On the other hand, ray launching approach as applied in [40] - [41] is an

option that the casting of rays from traveling long distance. A small constant angle

separation between launched rays needs to be specified to produce reliable results.

Though, this technique is very efficient computationally.

Besides, there are many others authors studied the accuracy of the ray tracing

technique in predicting coverage through the quantification of the mean error and the

standard deviation of the error in urban, microcellular and indoor environment for

different frequency band channel.

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3.8 Accuracy of Ray Tracing Modeling

Regarding the ray tracing modeling accuracy, there are two kinds of error can be

distinguished, that are the input data and errors due to computer UTD and ray tracing

approach. Among the input data errors, the inaccuracies the topographical tracing

approach. Among the input data errors, the inaccuracies in the topographical and

morphological data of the urban scene and antenna input data such as radiation pattern,

position and orientation can be mentioned. The inaccuracy of the building database and

the lack of information about material characteristic may cause the discrepancies

founded between simulation and measured results.

On the other hand, the UTD/GTD (Geometrical Theory of Diffraction) model

may introduce several errors, among them are the error inherent in UTD due to the finite

size of the obstacles, the approximation in the treatment of reflection and diffraction in

dielectric material and also the assumption that surfaces are smooth and do not give

diffuse scattering. Besides, errors in the ray tracing algorithm in its code implementation

also appear. The code and the ray tracing algorithm can be never be sure that they run as

they were planned. Nevertheless, most times these errors are so evident that they are

very easy to identify and consequently to correct.

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3.9 Summary

This chapter provides a brief summary on fundamental treatment about practical

and theoretical concepts towards propagation prediction and measurements. There

are three basic mechanisms in wireless system that caused the signal distorts and

give rise to signal fading, as well as additional signal propagation losses. The ray

tracing methods widely used technique to predict propagation effects in mobile and

personal communication environments. Due to the ability of the ray tracing

technique to obtain site specific channel information with taking into consideration

of 3D environment, it best for propagation prediction of radio wave.

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CHAPTER 4

PROPAGATION PREDICTION AND MEASUREMENTS

4.1 Introduction

The measurement of the signal strength is to predict the performance of

wireless radio system. Because of the important to predict the performance the

wireless radio system, there have been researchers over past several decades. From

the three basic model classification explained in the site-pacific ray tracing prediction

model, which is one of the physical models, is the best choice for predict WLAN

802.11b radio signals strength. This chapter will discuss about the whole process,

from entering the database, running the simulator, to outputting the simulation and

measurement result in graph form for better analyze. The simulation will be done

using Site Specific Outdoor/ Indoor Prediction Code, Matlab will be used for

visualized the VPL code in order to show the propagating of signal, AirMagnet

Software used for measurement that installed into Laptop, the WLAN 802.11b card

was used for interface, Wireless Multi-client Bridge/AP WLAN 802.11b (AP) and

Patch antenna as the transmitter.

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The site-specific ray tracing prediction models find dominant propagation

paths and exhibit accuracy efficiency over small ranges in urban area. These methods

model the physical paths and the mechanisms by which radio signals propagate from

transmitter to receiver.

In this chapter the site survey and an introduction towards the ray tracing

simulation technique that applied in this research. This propagation model is based

on VPL technique. It is developed by Liang and Bertoni [17]. The VPL technique

covers frequencies 100 MHz and above. The input parameters and databases for this

simulation tool are described. The Flowchart below shown the Methodology Process

Study on Signal Strength, Site Survey (802.11b)

AirMagnet WLAN Analyzer VPL Propagation Prediction (Databases needed for simulation)

Simulation and Visualization Matlab Result Comparison due to

Signal strength

Figure 4.1 Methodology Process

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37

4.2 Site Survey

The related specific-site has been decided before ray tracing propagation

prediction. There are five blocks three floors building and one double floors building

(S15, S014, S13, S12, S11, S01). The Access point (AP) deployed at double floor

building (S01). There were 11 locations of receivers placed at five blocks three floors

building, whereas prediction and measurement will be carried out.

The WLAN 802.11b can give an access to home, businesses, etc [1], based of

this theory the ray tracing propagation prediction will de done. The contour around

the KTC hostels are looks like rolling hill geographically with the height of tree

significantly for the prediction and measurement testing. Figure 4.2, Figure 4.3,

show the photos that captured at the KTC hostel and Figure 4.4 shows the transmitter

location and receiver’s location.

Figure 4.2 Photo one of KTC Hostel

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Figure 4.3 Rolling hills and Trees at KTC

Receiver Transmitter

Figure 4.4 Site Map Plan

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39

4.3 Introduction to Ray Tracing Simulation Tool

The ray tracing simulation used in this research is based on vertical plane

launch technique developed by Liang and Bertoni (1998) [18]. The VPL frequencies

cover from 100 MHz and above. To know the concept of VPL technique see Figure

4.5, this shows half planes originating from a vertical line through the transmitter and

extending outward in one direction.

The VPL method takes account the nearly universal use of vertical walls in

building construction and differentiates the horizontal and vertical directions. In the

horizontal directions, 2D rays representing the vertical planes are launched from the

source. This method generates a binary tree at the point where the vertical plane

intersects an exterior face of building wall, with one plane continuing along the

incident direction and a second plane going off in the direction secular reflection as

shown in Figure 4.6.

Figure 4.5 Approximation 3D ray tracing using vertical plane

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40

Figure 4.6 Rays Generation in horizontal plane

The plane that continues in the incident direction contains rays that propagate

directly over the building and rays that are diffracted over the buildings at its

horizontal edges. The plane that is spawned in the reflected direction contains rays

that are either specularly reflected from the building face or are diffracted at the top

horizontal edge of the wall. The path that a ray travels in the vertical direction is

found by examining the profile of all the building in the unfolded set of vertical plane

segments between the source and receiver and uses deterministic equation to

calculate the vertical displacement and received signal strength. A vertical plane

segment is considered to have illuminated the receiver if the ray intersects the

capture circle of a receiver and lies in the wedge of the illumination.

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4.4 Algorithm of Simulation Software

To understand on how the VPL ray tracing simulation, Figure 4.7 shows the

ray architecture. Firstly, the functionalities used to determine if a vertical plane

intersects with the walls of building. Secondly, it determines whether a receiver will

be illuminated by the vertical plane and calculates the path loss associated with this

path. And thirdly, it finds the vertical building corners that will be necessary to

subsequently determine the diffracted field at a receiver.

In this ray-tracing program, each of the vertical plane generated from a source

goes through all of the above three modules. Several assumptions have been made in

this program. The VPL methods neglects diffuse scattering from, rays travel away

from building and receivers. These simplifications are made because it’s believed

that rays do not contribute to the total received power in a micro substantially

increase the model complexity and computation time.

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Figure 4.7 Flow Chart of VPL method [18]

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4.5 Databases for Simulation

The Vertical ray tracing simulation needs three types of databases to run the

simulation completely: building database, terrain, and receiver data base. The

building database gives relative locations of the building g within the prediction are,

whereas the receiver database contains the coordinates of the receiver points. Terrain

elevation database is used to model the effect of the ground on the ray path. Building

interior database in simulation it is only needed when a receiver or transmitter is

placed inside a building interior database is neglected.

4.5.1 Building database

The building database is a single American Standard Code for Information

Interchange (ASCII) file, which contains six columns of integer and floating-point

numbers that represent the building. The first column is a unique building identity

number that must be from the building number before and after. The X and Y

coordinates are entered as a relative position from an arbitrary fixed reference

position of the database coordinate system in next two columns. The Z coordinates

represent the height of the building above the reference plane, and the vertical

distance that building extends downward from Z are in the forth and fifth column.

Integer of the final columns in the database is representing the relative dielectric

constant. The recommended dielectric constant is 6 because it provides the least error

compared to other values [18].

Actually in the reality many of buildings have more complex composition.

The representation of these multi-structure building is similar to the case for the

single structure building. Each distinct Structure of the building is treated separately

and entered into the database in the same convention as in the single building even if

it is merely a part of complex building. The program also has the capability to handle

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44

slant and peaked roofs for the buildings with the prediction area. The procedure for

handling this type of structure is similar to that for a flat roof except that we now

partition the roof of a single building into two slanted surfaces.

4.5.2 Receiver Database

The receiver file is also in multi-column format, with each line containing the

coordinates of a single receiver point. The first column represents the receiver

number and the following three columns represent the location of the receiver in x, y

and z coordinates, with respect to the building database coordinate system. The z

value of the receiver point is the height of the ground at the point and not the

absolute height of the receiver. The height of the receiver above the ground, which is

specified by the user in the command lines input, is added to the z value to get the

actual height of the receiver. The receiver database for simulation contains all the

possible locations for receiver.

4.5.3 Terrain Elevation Database

The other database that needed for the simulation is Terrain elevation

database is similar to a commercial used digital elevation map. It is representing the

terrain information to model the effect of the wound on the ray path. Coordinates z at

a particular (x, y) position is representing the height of the ground above the fix

reference. The complete file of these terrain points (x, y, z) cab be viewed as a grid

for simulation area. The terrain database should be large as possible to support the

rays propagating from the transmitter to the receiver.

This prediction area covers 215 X 235 meter . The same building database and

terrain database will be used in this simulation to predict and analyze the result on

2

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different placements of the receiver points. The rays can be visualized using the

Matlab. Part of the actual databases, which are used for simulation, can be seen from

Appendix B.2.1 to C.2.3. Figure 4.8 shows the visualization of the building and

terrain databases for the software.

Figure 4.8 Databases Visualization

4.5.4 Antenna Radiation Pattern Database

The patch antenna has been used as a transmitter for transmits the signal. The

patch antenna with description and characteristics given in the Appendix A. As

needed in the ray tracing simulation, measurement of radiation pattern and gain of

antenna at 2.4 GHz has been carried out in an anechoic chamber. Two 2D patterns

have been measured. They are the x-z plane (elevation plane = 0), which

represents the principal E-plane and the x-y plane (azimuthal plane; = 2 ); which

represents the principal H-plane. The antenna radiation pattern database is presented

in Appendix B.2.4. Figure 4.9 (a) and (b) show the principal E-plane and H-plane

radiation pattern in polar –logarithmic form.

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E-Plane (Elevation) Radiation pattern H-Plane (Azimuthal) Radiation Pattern

(a) (b)

Figure 4.9 Antenna radiation pattern. a) Principle E-plane b) Principle H-Plane

4.6 Simulation Command Input

In the VPL method the ray-tracing program is run in DOS mode where it

performs command line execution. Three arguments are required to initialize the

program as shown in the Table 4.1. The first argument is building database file name,

the second argument is receiver location file name and the third argument is output

file name. The associated directory of each file name must be defined correctly. After

the program has been initialized correctly, two lines of information are displayed as

second command input in Table 4.1. If the preprocessed input file name is not given

at the initialization stage, a question will prompt user to decide whether to have a

preprocess run again.

Then, the program starts requesting a series of input parameter as listed in Table

4.1.The input parameters are in Italic font. Details of each input command line and

explanations are available in Appendix B.1. The number of grids in x and y, grid

size, and transmitter coordinates are varying depending on the input information such

as building and receiver database information. Once all required input parameters

have been entered correctly, the program stars executing the ray-tracing simulation.

While the program is running, information is continuously displayed and scrolled up.

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At the end of the simulation, the program is terminated end returned back to DOS

prompt again.

4.7 Output of the Prediction Tool

The prediction program generated 3 types of output. They are delay spread

output, power delay output, and ray paths information output. To produce both

output files the simulation has to do twice. On the other hand, ray path information

outputs that contain the individual ray paths for the receiver can be obtained together

with any of the two output files. Here, I give the example of result propagation wave

prediction because the propagation wave prediction for kolej KTC in progress due to

collect the databases.

Table 4.1: Command input simulation

No Command Input

1 C:\...........\runvpl<building database file><receiver location file><output file>

[<preprocessed input>]

2 Site Ware Techologies Inc.

Site Specific Propagation Prediction Tool, ver 1.0 28SEP99

No preprocessed file was specified.

Do you want to do a preprocess run? [y/n]:n

3 Enter the angle that the ray trace will increase by: 1

4 Enter the maximum number of reflection to calculate: 6

5 Enter the number of diffraction at vertical edges that will be computed: 2

6 Enter the number of operating frequencies: 1

7 Enter the value of frequency I [MHz] : 2440

8 Enter the Fresnel zone width used to test screens: 1

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9 Consider terrain using digital elevation database? [y/n]: y

10 Enter the filename of digital elevation database? :

11 Impulse response or power & delay spread output? [ i/p] :p

12 Is directional antenna used? [ y/n] :

13 Output individual ray path data? [y/n]: n

14 Enter the x coordinate of the transmitter:

15 Enter the y coordinate of the transmitter:

16 Enter the z coordinate of the transmitter:

17 Number of different transmitter heights at ( x, y, z): 1

18 Enter height 1 of the transmitter: 0.3

19 Enter the height of the receivers: 0.3

20 Use polynomial fit or read data file for the radiation pattern? [p/f]:f

21 Enter the name of radiation pattern data file for 2440MHz: an.txt

22 Enter the antenna gain at 2440MHz<dB>:12

23 Enter tilt angle of the main beam relative to horizontal<E-plane>:0

24 Enter azimuth angle of the main beam relative to due east<H-plane>:0

4.7.1 Impulse Response Output

In the Impulse Response Output result, the individual path information

according to the receiver. The first line is the receiver number and the x, y, and z

coordinates of the receiver. Listed below the receiver are the individual ray

contributed at the receiver. The columns represent the angle at which the ray left the

transmitter and path length of the ray in meters, the propagation time seconds and the

predicted path loss in dB. The fifth and final column is numerical representation of

the type or class of ray. Example of impulse response output is displayed in Figure

4.10.

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49

4.7.2 Power and Delay Spread Output

The power and delay spread output file contains the predicted path loss for

receiver, a section that contains the different components that add together to get the

total power received, rms delay spread and mean excess delay. The results for each

receiver are listed in multicolumn format on a single line with brief heading

describing the program execution parameters. The fifth column is the predicted path

loss value in dB. The column after in between vertical line ( ) separators is

breakdown of the total power received into its separate components. The first two

columns indicate value in watt and number of LOS rays. The second two columns

show value in watt and number of reflected rays that arrived at receiver. The third

and forth two columns indicate value in watt and number of rays that undergo 1 and

2 vertical edge diffraction beside on top of reflection. The final two columns of data

represent the rms delay spread and the mean excess delay in seconds. Figure 4.11 is

an example of power and delay spread output. Complete output for the prediction in

the related sites is given in Appendix B.2.

4.7.3 Ray Path Information Output

The ray path information is stored in separate file for each receiver every

simulation. These outputs generate details of each ray path that arrive at a particular

receiving poin. There are a list of information x, y, z coordinates for all ray segments

that combines together to form a complete path from source to receiving point see

Figure 4.12. The number of ray paths that arrives at particular receiving point on the

simulation output.

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1 10.0 20.0 30.3

3.05 6.20 1.099552 71.71 2.39e-007 -110.13 1

2 40.0 5.0 30.3

5.08 1.94 1.307271 68.34 2.28e-007 -113.24 1

3 40.0 60.0 30.3

1.47 4.61 0.577952 84.83 2.83e-007 -106.59 1

Rayscontributedat receiver

Propagation

Classof ray

Path Loss (dB)

Time (seconds)

Pathlength(meter)

Angle

Receivernumber andcoordinates

Figure 4.10 Example of impulse response output

1 10.0 20.0 30.3 -110.13 | 0.00e+000 0 9.70e-012 1 0.00e+000 0 0.00e+000 0 | 4.29e-011 2.39e-007

2 40.0 5.0 30.3 -113.24 | 0.00e+000 0 4.74e-012 1 0.00e+000 0 0.00e+000 0 | 4.09e-011 2.28e-007

3 40.0 60.0 30.3 -106.59 | 0.00e+000 0 2.19e-011 1 0.00e+000 0 0.00e+000 0 | 5.08e-011 2.83e-007

4 80.0 90.0 30.3 -91.58 | 0.00e+000 0 6.95e-010 1 0.00e+000 0 0.00e+000 0 | 7.34e-011 4.09e-007

ReceiverCoordinate

ReceiverNumber

PathLoss

Power received for different components

Rms delay spread

MeanExcessDelay

Figure 4.11 Example of power delay spread output

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51

#71.71 -110.13

35.20 17.80 2.80

Length and path loss of each ray

Coordinateof each ray 20.00 19.13 50.00

10.00 20.00 30.30

#68.34 -113.24

35.20 17.80 2.80

38.19 10.00 50.00

40.10 5.04 30.30

#84.83 -106.59

35.20 17.80 2.80

36.48 30.00 50.00

39.64 60.04 30.30

#122.62 -91.58

35.20 17.80 2.80

42.82 30.00 50.00

80.23 89.86 30.30

Figure 4.12 Example of ray path information output

4.8 Result Visualization

Matlab is a high-level technical computing language and interactive

environment for algorithm development, data visualization, data analysis, and

numerical computation. It includes a set of low-level file input output (I/0) functions

that are based on the I/0 functions of the American National Standards Institute

(ANSI) Standard C Library.

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Here, a Matlab Code that is similar to C language is written to extract data

from the numerical input and output files from the VPL ray tracing software. The

data are then presented in a 3D graphic display. The Matlab code written is presented

in Appendix B.4. Figure 4.13 shows the window of Matlab when the written Matlab

running.

Figure 4.13 VPL ray tracing visualization using Matlab

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4.9 Filed Measurement

As with any other radio propagation model, ray tracing techniques need to be

verified and enhanced with actual RF measurements, which are representative of the

possible installation scenarios. The AirMagnet WLAN Analyzer was used to measure the

signal strength of 11 receivers at Tun Chancellors Hostels.

4.9.1 AirMagnet WLAN Analyzer

The AirMagnet Laptop WLAN Analyzer Figure 4.14 is the industry's most

advanced stand-alone solution for wireless security and troubleshooting. Built from

the ground up to meet the challenges of 802.11a/b/g WLANs, the AirMagnet Laptop

provides a direct automated analysis of any WLAN, proactively detects over 130+

network problems, and delivers a set of active wireless troubleshooting tools that

simply aren't available anywhere else.

Figure 4.14 AirMagnet Laptop Analyzer

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54

4.9.2 Field Measurement Flow Chart

Figure 4.15 Field Measurement Flow Chart

There were 11 locations of receivers whereas the signal strength had been

measured. From the 11 locations of receivers we have to identify the LOS and

NLOS. The effect of building can be detected using the concept of LOS and NLOS

and the degradation of signal strength can be obtained.

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4.9.3 The AirMagnet WLAN Analyzer Measurement

The AirMagnet WLAN Analyzer measurement had been carried out from 11

locations of receivers. The signals transmit from building S01 to S15, S14, S13, S12

and S11 buildings, the transmitter placed on rooftop of building S01. The Figure

4.16 shows transmitter (AP) and receivers for AirMagnet WLAN Measurement,

Figure 4.18 shows the Patch Antenna for the signal transmission and Figure 4.19 the

KTC hostel, S15 and S14 view from transmitter location (S01).

The Wireless Multi-Client Bridge/Access Point operates in the 2.4 GHz

frequency spectrum supporting the 802.11b (2.4GHz, 11Mbps) wireless standard

sees Figure 4.17

Figure 4.16 Transmitters and Receiver Location

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Figure 4.17 Wireless Multi-client Bridge/AP

4.18 Patch Antenna

Figure 4.19 S15 and S14 view from S01

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4.10 Summary

This chapter presents the propagation prediction and measurements in Tun

Chancellor Hostel. There are brief explanations about the VPL method as a

prediction tool and AirMagnet WLAN Analyzer as a measurements tool. The Matlab

has been used for code visualization. The ability to understand the concepts of

theoretical and practical VPL tool and the AirMagnet WLAN Analyzer tool can be

used for the propagation prediction and measurements in Tun Chencellor Hostel.

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CHAPTER 5

SIMULATION AND MEASUREMENTS RESULTS

5.1 Introduction

This chapter will discuss about the simulation and measurement result. Actually

there are two parts in this project: simulation and measurements. From the simulation

part we can study the propagation of wave whereas the VPL ray code can be visualized

using the Matlab and then study the signal strength (in unit of dBm) for each receiver

from different of location as well as the effect on building. The field measurement is

carried out using the AirMagnet WLAN Analyzer tool. In the theory there are so many

factors that can cause the degradation of signal strength in an outdoor environment, but

in this project we just concentrated about the effect on building.

Before we go further on the result analysis between simulation and measurement,

the results of prediction tool and visualization using Matlab have to discuss and also the

signal strength results of receivers from AirMagnet WLAN Analyzer also will be

discussed.

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5.2 The Vertical-Plane-Launch output and code visualization

In order to prove the existing of degradation signal strength in an outdoor

environment, the location of receiver has to be in Line-of-Sight (LOS) or Non-Line-of

Sight (NLOS). There are four types databases needed to run this simulation completely:

terrain database, building database, receiver database and antenna radiation pattern

database. Figure 5.1 Shows the power and delay spread output from the simulation tool.

From chapter 4 the power and spread out has been explained in detail and from this

output we can obtain the power received sees Figure 5.2.

Figure 5.1 Power and delay spread output

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Figure 5.2 Characteristics Power and spread out

The Simulation code in Figure 5.1 had been visualized using the Matlab. The

Matblab code that is similar to C language is written to extract data from the input and

output files from VPL ray tracing software. The Figure 5.3 shows the window for ray

path visualization at the four blocks of building whereas 11 location of receiver placed

LOS and NLOS. In order to see more clearly the effect of building from the ray path

visualization, Figure 5.4 shows the reflection and diffraction of rays due to building

effect at locations 9, 10 and 11.

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Figure 5.3 Ray paths visualization for buildings S15, S14, S13, S12, S11and S01

Figure 5.4 The reflection and diffraction of ray at locations 9, 10 and 11

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5.3 AirMagnet and characteristics of signal strength

The patch antenna (directional antenna) is placed above the roof at building S01

and transmits the signal over the five blocks S15, S14, S13, S12 and S11. There are 11

location receiver placed at the four blocks. By using the AirMagnet WLAN Analyzer

the signal strength can be obtained by measuring signal strength at the 11 location of

receiver that had been decided, the AP MAC address is 00026f370AB2 and SSID

WWC2. Figures 5.5 (a), 5.5 (b) show the graph of signal strength for a certain length

times (for 45 seconds duration with a 5 seconds interval) in location 1 and 2.

Signal strength (dBm)

-90

-88

-86

-84

-82

-800 10 20 30 40 50

Time (sec)

Pr (d

Bm

)

Signal (dBm)

Figure 5.5 (a) Signal strength versus time at location 1

Signal Strength (dBm)

-84

-82

-80

-78

-76

-740 10 20 30 40 50

Time (sec)

Pr (d

Bm

)

Series1

Figure 5.5 (b) Signal strength versus time at location 2

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63

From the graph in Figure 5.5 (a), it shows the signal strength fluctuated around (1 – 3 dB)

for every 5 seconds for LOS. Also from the figure 5.5 (b) shows the signal strength

fluctuated around 1-8 (dB) for every 5 seconds for NLOS, here the existing of building

effect can cause the degradation of signal strength. In order to verify the all location,

Figure 5.6 below show the average power received at 11 locations receiver, this graph

gives the characteristic of signal strength for each location.

signal strength

-100

-80

-60

-40

-20

00 5 10 15

Location

Ave

rage

pow

er

rece

ived

(dBm

)

Series1

Figure 5.6 Average power received Vs location

5.4 The simulation and measurements result

The Table 5.1 shows the result of signal strength between the simulation and

measurement at 11 locations receiver that has a different distance between each other

and also show the types of propagation whether LOS or NLOS. Both simulation and

measurement in LOS or NLOS, in order to discuss the occurrence of building effect by

referring the Table 5.1 the highest signal strength for the simulation at location 2 (LOS)

and the lowest at location 10 (NLOS), but from the measurement the highest signal

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64

strength at location 3 (LOS) and the lowest at location 10 (NLOS) these both quietly

match each other.

Location Types Distance Path Loss (dB)

Signal Strength (Simulation )

Signal Strength (Measured)

1 NLOS 127 -62.16 -64 dBm -70 dBm 2 LOS 117 -57.63 -55 dBm -80 dBm 3 LOS 128 -58.28 -57 dBm -71 dBm 4 LOS 133 -61.38 -63 dBm -72 dBm 5 NLOS 116 -67.4 -75 dBm -75 dBm 6 NLOS 140 -91.83 -124 dBm -82 dBm 7 LOS 119 -57.73 -56 dBm -86 dBm 8 NLOS 129 -59.72 -59 dBm -83 dBm 9 NLOS 143 -89.54 -119 dBm -66 dBm

10 NLOS 168 -92.41 -125 dBm -87 dBm 11 NLOS 157 -61.38 -63 dBm -67 dBm

Table 5.1 Simulation and Measurement

Then a measurement of signal strength for different location that have different

distance each other have been carried out. The result is shown in Figure 5.7.

Distance-Signal Strength Chart

-150

-100

-50

00 50 100 150 200

meter

dB

m

SimulationMeasurementLinear (Measurement)Linear (Simulation)

Distance-Signal Strength Chart

-150

-100

-50

00 50 100 150 200

meter

dB

m

SimulationMeasurementLinear (Measurement)Linear (Simulation)

Figure 5.7 Signal strength as a function of distance

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Distance - Signal Strength Chart

-150

-100

-50

0

0 50 100 150 200

metersd

Bm

Pr Linear (Pr )

Figure 5.8 Best –Fit-line

From the graph Figure 5.7 the gradient of signal strength varies over distance,

mostly the nearest location gave a highest signal strength and sometimes vice-versa

because of the building effect that considered for degradation of signal strength. The

simulation and measurement signal strength for all location actually quite match each

others, but a slightly different occurs for location 6, location 9 and location 10. Figure

5.8 shows best-fit-line between simulation and measurement over distance using line

regression. The different results between simulation and measurements because in the

simulation (VPL) there are two kinds of errors can be distinguished, that are the input

data and errors due to computer UTD and ray tracing approach.

Among the input data errors, the inaccuracies in the topographical and

morphological data of the urban scene and antenna input data such as radiation pattern,

position and orientation can be mentioned. The inaccuracy of the building database and

the lack information about material characteristic may cause the discrepancies founded

between simulation and measurements result. Figure 5.9 shows the measurement of

signal strength in Tun Chancellor Hostel

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66

Figure 5.9 shows the measurement of signal strength in Tun Chancellor Hostel

comparison measurement & simulation Signal strength (dBm)

-150

-100

-50

01 2 3 4 5 6 7 8 9 10 11

Location

Pr (d

Bm

)

SimulationMeasurement

Figure 5.10 Comparison result of Measurement and simulation of signal strength

Figure 5.10 is the comparison result of measurement and simulation of signal strength

from transmitter at S01 building to 11 locations of receiver. The results show it quite

match other accept at location 6, 9 and 10.

Signal strength can be used to determine location and tracking function because

the different value of signal strength for every location can show us whether that

location received a good signal or not. The good signal strength meaning that location

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has a good performance of WLAN and vice-versa. By knowing a good and worst signal

strength each of location we can determine whether the part of location that has a worst

signal need any deployment of access point or not to ensure that a more good coverage

and performance everybody can get. From this project we can say that the building can

affect the performance of signal although there are other parts of environment also affect

the performance signal that had been proved from other researchers.

5.5 Summary

This chapter provides the simulation and measurements result, the Matlab

successfully visualized the VPL code and show the direction of signal to all receivers

and also the effect on building. There are different levels of signal strength for each

receiver due to NLOS and LOS. The comparison between simulation and measurements

had been done and analyzed. The best-fit-line had been plotted to show the relationship

between simulation and measurements result. There are factors that affected the result

between simulation and measurements that have been discussed in this chapter.

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CHAPTER 6

CONCLUSION AND FUTURE WORK

6.1 Conclusion

The objectives of this project have been achieved. The study on the signal

strength and the effect on building have been done and discussed in previous chapters

respectively. The objective to measure and simulate signal strength in Tun Chancellor

Hostel and compare it has been archived and then the ray tracing code has been

visualized using Matlab and shown the direction of signal and the effect on building .

The prediction and measurements give a slightly different of results because

some factors that we have to be considered, regarding the ray tracing modeling accuracy,

there are two kinds of error can be distinguished, that are the input data and errors due to

computer UTD and ray tracing approach. Among the input data errors, the inaccuracies

the topographical tracing approach. Among the input data errors, the inaccuracies in the

topographical and morphological data of the urban scene and antenna input data such as

radiation pattern, position and orientation can be mentioned. The inaccuracy of the

building database and the lack of information about material characteristic may cause

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69

the discrepancies founded between simulation and measured results. For the

measurements using the AirMagnet WLAN Analyzer the ability to use this tool in the

proper way can give an accurate result and vice-versa.

Actually it is found that the simulation software: Site Specific Outdoor/ Indoor

propagation Prediction Code is a highly reliable and accurate prediction tool, Since gives

simulation results that are closer to the value given by measurement result, some of

results between simulation and measurements gives a slightly different this problem

occurs because there are two kinds of errors can be distinguished, that are the input data

and errors due to computer UTD and ray tracing approach.

6.2 Future Work

The leaves and branches of tress offer significant attenuation to UHF and

microwave signals. Foliage loss or vegetation loss is very complicated topic that many

parameters and variations. The sizes of leaves, branches, and trunks, the density and

distribution of leaves, branches, and trunks, and the height of tress relative to the antenna

height will all be considered.

In this research I didn’t include the vegetation effect or foliage effect due to time

constraint. For the future work it is best if it can be realize and include for further works

of this related research.

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11(4): 360-393

13. Walfisch, J. and bertoni, H.L. a Theore tical Model of UHF Propagation in Urban

Environments. IEEE Transaction on Antenna and Propagation. December 1988.

36(12): 1788-1796.

14. Deygout, J. Multiple Knife-Edge Diffraction of microwaves . IEEE Transaction

on Antenna and Propagation. July 1991. 39(8): 1256-1258

15. Edward N. Singer. Land Mobile Radio System, second edition 1994, PTR

Prentice Hall Prentice-Hall,Inc.

16. Neskovic, A., Neskovic, N., and Paunovic, G. (2000). Modern Approaches in

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Modeling of Mobile Radio Systems Propagation Environment. IEEE Commun.

Surveys.

17. Kaven Pahlaven and Prashant Krishnamur thy, Principles of Wireless Networks,

Upper Saddle River, New Jers ey 07458 Prentice Hall PTR.

18. Liang, G.and Bertoni, H.L.approach to 3-D ray tracing for propagation

prediction in Cities. IEEE Transactions on Antenna and Propagation. 1998.

46(6): 853-863

19. Agelet, F. A., Formella, A., Rabanos, J. M. H., Isasi de Vicente, F. and Fontan, F.

P. Efficient ray-tracing acceleration technique for radio propagation modelling.

IEEE Transactions on Vehicular Technology. 2000. 49(6): 2089-2104

20. Schaubach K. R. and Davis IV, N. J. Microcellular Radio-Channel Propagation

Prediction. IEEE Antenna and Propagation Magazine. August 1994. 36(4): 25-

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21. Kurner, T., Cichon, D. J. and Wiesbeck, W. Concepts and results for 3D Digital

Terrain-Based Wave Propagation Models; An Overview. IEEE Jounal on

Selected Arteas in Communications. September 1993. 1002-1012

22. Landron, O., Feuerstein, M. J. and Rappor t, T. S. A Comparison of Theoretical

and empirical Reflection Coefficients for Typical RExterior Wall Surfaces in a

Mobile radio Environment. IEEE Transactions on Antennas and Propagation.

March 1996. 44(3): 341-351.

23. Catedra, M. F., Perez, J., Saez DE Adana, F. and Gutierrez, O. Efficient Ray

Tracing Techniques for Three- Dimensional Analyses of Propagation in Mobile

Communication: Application to Picocell and Microcell Scenarios. IEEE Antennas

and Propagation Magazine. April 1998. 40(2): 15-28

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24. Seidel, S. Y. and Rapport. T.S. Site Specific Propagation Prediction for Wireless

In-Building Personal Communication System Design. IEEE Transactions on

Vehicular Technology. November 1994. 43(4): 879-891.

25. Mckown, J.W and Hamilton, R.L Ray Tracing as a Design Tool for Radio

Networks. IEEE Network Magazine. November 1991. 27-30.

26. Lawton, M.C and McGeehan, J.P The Application of a Deterministic Ray

Launching Algorithm for the Prediction of Radio Channel Characteristic in

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November 1994. 43(4): 955-969.

27. Tan, S.Y and Chua, C.L. Investigation of propagation mechanisms in a typical

cellular communication system. Microwave Conference, 2000 Asia-Pacific.

December 3-6, 2000. Australia: IEEE. 253-256.

28. Blaunstein, N., Katz, D., Cencor, D., Fredman, A., Ma tityahu, I. and Gur-Arie, I.

Prediction of Loss Charecteristics in built-Up Areas with various Building’

Overlay Profiles. IEEE Antennas and Propagation Magazine. December 2001.

43(6): 181-191.

29. Blaunstein, N. Radio Propagation in Cellular Networks. Boston London: Artech

House. 1999

30. Maciel, L. R., Bertoni , H. L. and Xia, H. N. Unified Approach to Prediction of

Propagation Over Buildings for All Ranges of Base Station Antenna Height. IEEE

Transactions on Antennas and Propagation. 1998. 46(12): 1782-1789.

31. Loredo, S., Valle, L., Torres, R. P. Accuracy Analysis of GO/UTD Radio-

Channel Modeling in Indoor Scenarios at 1.8 and 2.5 GHZ. IEEE Transactions on

Antennas and Propagation. October 2001. 43(5): 37-51.

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32. Zhong, J., Li, B. H., Wang, H.X, Chen, H. Y. and Sarker, T. K. Efficient Ray-

Tracing Methods for Propagation Prediction for Indoor Wireless

Communications. IEEE Transactions on Antennas and Propagation. April 2001.

43(2): 41-49.

33. Bertoni, H. L., Honcharenko, W., Marcel, L. R. and Xia, H. H. UHF Propagation

Prediction for Wireless Personal Communications. IEEE Procedure. September

1994. 82: 13333-1359.

34. Daniele. P., Degli-Espoli, V., Falciasecca, G. and Riva, G. Field Prediction Tools

For Wireless Communications in Outdoor and Indoor Environments. IEEE MIT-S

European Tropical Congress – Technologies for Wireless Applications.

November 2-4, 1994. Turin, Italy: IEEE. 1994. 129-134.

35. Degli-Eposti, V., Lombardi, G., Pa sserini, C. and Riva, G. Wide-band

Measurement and Ray-Tracing Simulation of the 1900-MHz Indoor Propagation

Channel: Comparison Criteria and Results. IEEE Transactions on Antennas and

Propagation. 2001. 49(7): 1101-1110

36. El-Sallabi, H. M., Liang, G., Bertoni, H. L., Rekanos, I. T. Vainikainen, P.

Influence of Diffraction Voefficient and Corner Shape on Ray Prediction of

power and Delay Spreads in Urban Microcells. IEEE Transactions on Antenna

and Propagation. May 2002. 50(5): 703-712.

37. De Backer, B., Borjeson, H., De Zutter, D. and Olyeslager, F. Propagation

Mechanisms for UHF Wave Transmission Through Walls and Windows. IEEE

Transactions on Vehicular Technology. September 2003. 52(5): 1297-1307.

38. Toscano, A., Bilotti, F. and Vegni, L. Fast Ray-Tracing Method for Modeling

Electromagnetic Field Prediction in Mobile Communications. IEEE Transactions

on Magnetics. 2003. 39(3): 1238-1241.

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39. Yang, C. F., Wu, B. C. and Ko, C. J. A Ray-Tracing Method for Modeling Indoor

Wave Propagation and Penetration. IEEE Transactions on Antennas and

Propagation. 1998. 46(6): 907-919.

40. Chen, S. H. and Jeng, S. K. An SBR/image Approach for Radio Wave

Propagation in Indoor Environments with Metallic Furniture. IEEE Transactions

on Antennas and Propagation. 1997. 45(1): 98-106.

41. Costa, E. Ray Tracing Based on the Method of Images for Propagation Simulation

in Cellular Environments. 10th International Conference Antennas and

Propagation. April 14-17, 1997. Edinburgh: IEEE. 1997. 204-209.

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Appendix A: The Patch Antenna description and characteristics

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Appendix B: Ray Tracing Propagation Prediction

B.1 Simulation Command Input

Site Specific Code is available for different types of simulation. The runtime

parameters will be determined from the command line inputs during the simulation and

the simulation results are different depending on the input. An example of running the

prediction program is shown in figure B.1 Firstly; we begin the execution of the

prediction program by typing the following:

runvpl <building file> <receiver points file> <output file> [<preprocessed input

file>]

The command inputs are as follow:

Enter the angle that the ray trace will increment by:

The question prompts the user for the incremental angle between successive rays when

launched from a source. A number which is a integer fraction of 360o should be entered.

Enter the maximum number of reflections to calculate:

This parameter set the maximum number of reflections that a ray will undergo during

the execution of the program. The number does not represent the total number of

reflections but rather the number of reflections allowed for each branch between vertical

diffractions, i.e. if this number is 6 and there is 1 vertical edge diffraction, then 6

reflections are calculated before and after the diffraction. The input should be an integer

which can be greater than or equal to 0. Currently there is no upper limit.

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Enter the number of diffractions at vertical edges that will be computed:

This input represents the number of levels of vertical edge diffractions that the program

will perform. Only 0, 1 or 2 are valid inputs for this parameter.

Enter the number of operating frequencies:

This question prompts the user for the number of frequencies that the program will

predict for simultaneously. Since the geometrical ray trace is identical at all frequencies

it is possible to perform one ray trace while producing results at a number of frequencies.

The responds to this question should be an integer number. Currently there is no upper

limit to the number of frequencies that can by simultaneously spec-

Enter the value of frequency 1 [MHz]:

. . .

Enter the value of frequency n [MHz]:

This question will be asked n number of times for each frequency(ies) in MHz de

pending on the number of frequencies entering for the previous question. It is the usual

convention to enter the frequencies from lowest to highest although this is not absolutely

required.

Enter the Fresnel zone width used to test screens:

The answer to this question sets the width of the Fresnel zone use within the program.

The program uses this criterion to test which screens are taken into accounted when

calculating diffraction over buildings. The input represents the Fresnel width with input

of 1 representing the first Fresnel zone. Any positive real number may be entered, while

entering 0 represents zero width.

Consider terrain using digital elevation database? [y/n]:

The parameter requires an alpha input with a case insensitive y or Y representing yes

and n or N representing no. Answer yes if actual terrain data from a file will be used.

Enter the filename of digital elevation database:

The name of the file that contains the terrain elevation database should be entered.

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The complete path of the file can be entered to specify the relative location of the file.

Impulse Response or Power & Delay Spread Output? [i/p]:

This question prompts the user for one of 2 possible alpha responses which determines

the type of output that is produce by the program. A lowercase "i" response will direct

the program to produce a impulse response output while a lowercase "p" will give an

output that states the total power received at each receiver point.

Is a directional antenna used? [y/n]:

This question asks if a directional antenna is used in the prediction. If the response is an

affirmative then additional question regarding the radiation pattern, gain and direction

will be asked later on.

Output individual ray path data? [y/n]:

This question asks the user whether individual ray paths for each receiver point should

be output to a file so that a visual picture can be constructed. The ray paths for each

receiver points are outputted into separate files labeled "ray paths rx#" where # is the

receiver number. Refer to the chapter on the output file format for details and

information contain in the ray paths file.

Enter the x coordinate of the transmitter:

Enter the y coordinate of the transmitter:

Enter the z coordinate of the transmitter:

These questions prompt for a numerical input and set the location of the transmitter

within the program. The inputs can be any number which can include negative

coordinates for the transmitter. The value for the z coordinate should be the value of z at

ground level at the (x,y) location. If the transmitter is on a rooftop location the z value

should be the z of the position at the top of the roof (i.e. the height of the roof) above

some fix reference.

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Number of different transmitter heights at (x,y,z):

This question asks the user to enter the number of transmitter heights that the program

will simultaneously simulated.

Enter height 1 of the transmitter:

……………

Enter height n of the transmitter:

This question prompts the user for the height(s) (in meters) of the transmitter above the

ground at transmitter location (x,y,z) which was entered previously. This value is added

to the z location value to obtain the absolute location of the transmitter in a 3dimensional

Cartesian coordinates system.

Enter the height of the receivers:

This question prompts the user to enter the height (usually in meters) of the receiver(s)

above the ground. This value is added to the z value of each receiver point which exists

in the receiver points in the receiver database.

The following set of questions appears after the previous set of questions if yes is

answered for the question regarding whether a directional is used.

Use polynomial fit or read data file for the radiation pattern?:[p/f]

This question prompts the user for the polynomial order for the radiation pattern fit in

the H field plane.

Enter the name of the radiation pattern data file for xxx MHz:

The name of the file that contains the antenna radiation pattern database should be

entered. The complete path of the file can be specifying the relative location of the file.

Enter the antenna gain at xxx MHz(dB):

This question sets the antenna gain for the antenna used at the xxx frequency.

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Enter the tilt angle of the main beam relative to horizontal (E-plane):

This question prompts the user to set the tilt of the boresight of the radiation pattern in

the E plane. The tilt angle is specified in degrees relative to a horizontal boresight with a

positive value is used for an upward tilt and a negative value for a downward tilt.

Enter the azimuth angle of the main beam relative to due east (H-plane):

This question prompts the user for the boresight azimuth direction relative to the positive

x-axis and is specified degrees.

Figure B.1 Display of Program

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B.2 Databases for simulation

.2.1 Building Database (Part of bs.txt)

70.8 143.7 21.9 10.1 6

B

1

1 66 150.7 21.9 10.1 6

1 61.8 157 21.9 10.1 6

1 61.2 158 20.72 7.62 6

1 59.6 160.6 20.72 7.62 6

1 50.3 155.1 20.72 7.62 6

1 44.7 164.1 20.72 7.62 6

1 66.9 177.6 20.72 7.62 6

1 74.3 166.7 20.72 7.62 6

1 69.1 163.6 20.72 7.62 6

1 70.9 161.9 21.9 10.1 6

1 79 167.3 21.9 10.1 6

1 86.2 157.8 21.9 10.1 6

1 76.8 152.9 21.9 10.1 6

1 79.5 148.4 21.9 10.1 6

2 47.4 159.3 24.47 10.97 6

2 44.7 164.1 20.72 7.62 6

2 66.9 177.6 20.72 7.62 6

2 69.8 173.7 24.47 10.97 6

3 50.3 155.1 20.72 7.62 6

3 47.4 159.3 24.47 10.97 6

3 69.8 173.7 24.47 10.97 6

3 74.3 166.7 20.72 7.62 6

3 69.1 163.6 20.72 7.62 6

3 61.2 158 20.72 7.62 6

3 59.6 160.6 20.72 7.62 6

4 63.7 153.8 25.21 13.41 6

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4 62 156.5 21.9 10.1 6

4 70.9 161.9 21.9 10.1 6

4 79 167.3 21.9 10.1 6

4 81.4 164.5 25.21 13.41 6

5 70.8 143.7 21.9 10.1 6

5 66 150.7 21.9 10.1 6

5 63.7 153.8 25.21 13.41 6

5 81.4 164.5 25.21 13.41 6

5 86.2 157.8 21.9 10.1 6

5 76.8 152.9 21.9 10.1 6

5 79.5 148.4 21.9 10.1 6

5 70.8 143.7 21.9 10.1 6

6 66 150.7 15.15 3.35 6

6 64.2 149.7 15.15 3.35 6

6 60 155.9 15.15 3.35 6

6 61.8 157 15.15 3.35 6

7 33.6 120 21.4 10.1 6

7 31.4 122.7 21.4 10.1 6

7 22.4 115.7 21.4 10.1 6

7 15.6 125 21.4 10.1 6

7 24.4 131.9 21.4 10.1 6

7 23.5 133.4 20.22 7.62 6

7 18.5 129.5 20.22 7.62 6

7 10.4 140.7 20.22 7.62 6

7 31.5 156.9 20.22 7.62 6

7 37.5 148.5 20.22 7.62 6

7 29.3 141.9 20.22 7.62 6

7 31.1 139.4 20.22 7.62 6

7 31.8 138.4 21.4 10.1 6

7 36.2 132.4 21.4 10.1 6

7 40.8 125.4 21.4 10.1 6

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8 13.4 136.5 23.57 10.97 6

8 10.4 140.7 20.22 7.62 6

8 31.5 156.9 20.22 7.62 6

8 34.5 152.7 23.57 10.97 6

9 23.5 133.4 20.22 7.62 6

9 18.5 129.5 20.22 7.62 6

9 13.4 136.5 23.57 10.97 6

9 34.5 152.7 23.57 10.97 6

9 37.5 148.5 20.22 7.62 6

9 29.3 141.9 20.22 7.62 6

9 31.1 139.4 20.22 7.62 6

10 34 135.4 24.71 13.41 6

10 17.5 122.5 24.71 13.41 6

10 15.6 125 21.4 10.1 6

10 24.4 131.9 21.4 10.1 6

10 32.2 138 21.4 10.1 6

11 33.6 120 21.3 10.1 6

11 31.4 122.7 21.4 10.1 6

11 22.4 115.7 21.4 10.1 6

11 17.5 122.5 24.61 13.41 6

11 34 135.4 24.61 13.41 6

11 36.2 132.4 21.4 10.1 6

11 40.8 125.4 21.4 10.1 6

11 33.6 120 21.4 10.1 6

12 31.8 138.4 14.65 3.35 6

12 33.5 139.6 14.65 3.35 6

12 37.9 133.7 14.65 3.35 6

12 36.2 132.4 14.65 3.35 6

13 106.9 169.8 21.9 10.1 6

13 104.6 173 21.9 10.1 6

13 95.6 166.1 21.9 10.1 6

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13 89.2 175.5 21.9 10.1 6

13 97.8 182.3 21.9 10.1 6

13 96.8 183.8 21.12 7.62 6

13 91.9 179.9 21.12 7.62 6

13 84.1 191.1 21.12 7.62 6

13 104.9 207.3 21.12 7.62 6

13 110.9 199.3 21.12 7.62 6

13 102.4 192.1 20.12 7.62 6

13 105.2 188.8 21.9 10.1 6

13 106.8 190.1 15.15 3.35 6

13 111.3 184.1 15.15 3.35 6

13 109.6 182.8 21.9 10.1 6

13 114.5 175.9 21.9 10.1 6

14 86.8 186.9 24.17 10.97 6

14 84.1 191.1 21.9 7.62 6

14 104.9 207.3 21.9 7.62 6

14 107.9 203.1 24.17 10.97 6

15 96.8 183.8 20.82 7.62 6

15 91.9 179.9 20.82 7.62 6

15 86.8 186.9 24.17 10.97 6

15 107.9 203.1 24.17 10.97 6

15 110.9 199.3 20.82 7.62 6

15 102.4 192.1 20.82 7.62 6

15 104.4 189.8 20.82 7.62 6

16 91 172.7 25.21 13.41 6

16 89.2 175.5 21.9 10.1 6

16 97.8 182.3 21.9 10.1 6

16 105.5 188.4 21.9 10.1 6

16 107.3 185.7 25.21 13.41 6

17 106.9 169.8 21.9 10.1 6

17 104.6 173 21.9 10.1 6

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17 95.6 166.1 21.9 10.1 6

17 91 172.7 25.21 13.41 6

17 107.3 185.7 25.21 13.41 6

17 109.6 182.8 21.9 10.1 6

17 114.5 175.9 21.9 10.1 6

17 106.9 169.8 21.9 10.1 6

18 105.2 188.8 15.15 3.35 6

18 106.8 190.1 15.15 3.35 6

18 111.3 184.1 15.15 3.35 6

18 109.6 182.8 15.15 3.35 6

19 145.6 192 21.9 10.1 6

19 143 200.1 21.9 10.1 6

19 140.8 207.2 21.9 10.1 6

19 139.5 211.1 21.12 7.62 6

19 129.2 208.5 21.12 7.62 6

19 126.2 218.2 21.12 7.62 6

19 151.5 225.9 20.72 7.62 6

19 155.8 212.8 20.72 7.62 6

19 149.8 210.9 20.72 7.62 6

19 150.3 209.5 21.9 10.1 6

19 161.2 212.2 21.9 10.1 6

19 164.7 201.7 21.9 10.1 6

19 154.1 198.4 21.9 10.1 6

19 154.7 195 21.9 10.1 6

20 127.6 213.5 24.47 10.97 6

20 126.2 218.2 21.12 7.62 6

20 151.5 225.9 21.12 7.62 6

20 153.1 221 24.47 10.97 6

21 140.5 208.3 21.12 7.62 6

21 139.5 211.1 21.12 7.62 6

21 129.2 208.5 21.12 7.62 6

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21 127.6 213.5 24.47 10.97 6

21 153.1 221 24.47 10.97 6

21 155.8 212.8 20.72 7.62 6

21 149.5 210.9 20.72 7.62 6

22 141.8 203.8 25.21 13.41 6

22 141 206.7 21.9 10.1 6

22 150.3 209.5 21.9 10.1 6

22 161.2 212.2 21.9 10.1 6

22 162.1 209.3 25.21 13.41 6

23 145.6 192 21.9 10.1 6

23 143 200.1 21.9 10.1 6

23 141.8 203.8 25.21 13.41 6

23 162.1 209.3 25.21 13.41 6

23 164.7 201.7 21.9 10.1 6

23 154.1 198.4 21.9 10.1 6

23 154.7 195 21.9 10.1 6

23 145.6 192 21.9 10.1 6

24 143 200.1 15.15 3.35 6

24 141 199.8 15.15 3.35 6

24 138.8 206.7 15.15 3.35 6

24 140.8 207.2 15.15 3.35 6

25 187.2 199.4 22.2 10.1 6

25 187.5 203.3 22.2 10.1 6

25 176.6 204.4 22.2 10.1 6

25 178.1 215.7 22.2 10.1 6

25 189.1 214.8 22.2 10.1 6

25 189.4 216.5 21.12 7.62 6

25 183.1 217 21.12 7.62 6

25 184.8 230.8 21.12 7.62 6

25 211.2 228.5 21.12 7.62 6

25 210 218.2 21.12 7.62 6

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25 199.5 218.9 21.12 7.62 6

25 199 214.5 22.2 10.1 6

25 198.2 207.2 22.2 10.1 6

25 197.3 198.7 22.2 10.1 6

26 184.1 225.6 24.47 10.97 6

26 184.8 230.8 21.12 7.62 6

26 211.2 228.5 21.12 7.62 6

26 210.6 223.3 24.47 10.97 6

27 189.4 216.5 21.12 7.62 6

27 183.1 217 21.12 7.62 6

27 184.1 225.6 24.37 10.97 6

27 210.6 223.3 24.37 10.97 6

27 210 218.2 21.12 7.62 6

27 199.5 218.9 21.12 7.62 6

27 199 215.7 21.12 7.62 6

28 177.6 212.5 25.51 13.41 6

28 178.1 215.7 22.2 10.1 6

28 189.1 214.8 22.2 10.1 6

28 198.9 214 22.2 10.1 6

28 198.5 210.9 25.51 13.41 6

29 187.2 199.4 22.2 10.1 6

29 187.5 203.3 22.2 10.1 6

29 176.6 204.4 22.2 10.1 6

29 177.6 212.5 25.51 13.41 6

29 198.5 210.9 25.51 13.41 6

29 198.2 207.2 22.2 10.1 6

29 197.3 198.7 22.2 10.1 6

29 187.2 199.4 22.2 10.1 6

30 199 214.5 15.45 3.35 6

30 201 214.4 15.45 3.35 6

30 200.2 207 15.45 3.35 6

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30 198.2 207.2 15.45 3.35 6

31 101.2 44.7 13.115 6.1 6

31 89.1 49.7 13.115 6.1 6

31 82.7 65.3 13.115 6.1 6

31 88.9 78.3 13.115 6.1 6

31 111.3 86.4 13.115 6.1 6

31 118.3 78.9 13.115 6.1 6

31 125 81.4 13.115 6.1 6

31 124.7 92 13.115 6.1 6

31 147.3 98.7 13.115 6.1 6

31 159.3 94.1 13.115 6.1 6

31 165.8 76.8 13.115 6.1 6

31 160.1 65.2 13.115 6.1 6

31 165.9 50.4 13.115 6.1 6

31 177.7 44.3 13.115 6.1 6

31 181.3 36.4 13.115 6.1 6

31 175.6 23.9 13.115 6.1 6

31 154.3 17.9 13.115 6.1 6

31 147 24.1 13.115 6.1 6

31 139.5 21.5 13.115 6.1 6

31 139.9 11.6 13.115 6.1 6

31 116.1 3.4 13.115 6.1 6

31 103.3 9.4 13.115 6.1 6

31 97.6 26.5 13.115 6.1 6

31 102.8 37.9 13.115 6.1 6

32 82.7 65.3 13.115 6.1 6

32 88.9 78.3 13.115 6.1 6

32 111.3 86.4 13.115 6.1 6

32 103.7 65.2 20.265 13.25 6

32 89.1 49.7 13.115 6.1 6

33 111.3 86.4 13.115 6.1 6

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33 118.3 78.9 13.115 6.1 6

33 122.9 63.7 13.115 6.1 6

33 121.7 51.4 13.115 6.1 6

33 103.7 65.2 20.265 13.25 6

34 121.7 51.4 13.115 6.1 6

34 101.2 44.7 13.115 6.1 6

34 89.1 49.7 13.115 6.1 6

34 103.7 65.2 20.265 13.25 6

35 125 81.4 13.115 6.1 6

35 124.7 92 13.115 6.1 6

35 142.5 78.1 16.565 9.55 6

35 140.6 62.5 13.115 6.1 6

35 130 68.8 13.115 6.1 6

36 124.7 92 13.115 6.1 6

36 147.3 98.7 13.115 6.1 6

36 159.3 94.1 13.115 6.1 6

36 165.8 76.8 13.115 6.1 6

36 142.8 78.1 16.565 9.55 6

37 165.8 76.8 13.115 6.1 6

37 160.1 65.2 13.115 6.1 6

37 140.6 62.5 13.115 6.1 6

37 142.5 78.1 16.565 9.55 6

38 165.9 50.4 13.115 6.1 6

38 177.7 44.3 13.115 6.1 6

38 160.9 32.2 16.565 9.55 6

38 142.5 36.5 13.115 6.1 6

38 151.3 44.2 13.115 6.1 6

39 177.7 44.3 13.115 6.1 6

39 181.3 36.4 13.115 6.1 6

39 175.6 23.9 13.115 6.1 6

39 160.9 32.2 16.565 9.55 6

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40 175.6 23.9 13.115 6.1 6

40 154.3 17.9 13.115 6.1 6

40 147 24.1 13.115 6.1 6

40 142.5 36.5 13.115 6.1 6

40 160.9 32.2 16.565 9.55 6

41 139.5 21.5 13.115 6.1 6

41 139.9 11.6 13.115 6.1 6

41 119 24.9 16.565 9.55 6

41 122.7 44 13.115 6.1 6

41 133.1 36.7 13.115 6.1 6

42 139.9 11.6 13.115 6.1 6

42 116.1 3.4 13.115 6.1 6

42 103.3 9.4 13.115 6.1 6

42 119 24.9 16.565 9.55 6

43 103.3 9.4 13.115 6.1 6

43 97.6 26.5 13.115 6.1 6

43 102.8 37.9 13.115 6.1 6

43 122.7 44 13.115 6.1 6

43 119 24.9 16.565 9.55 6

31 181.3 36.4 11.015 4 6

31 187.3 33.1 11.015 4 6

31 181.4 21.4 11.015 4 6

31 175.6 23.9 11.015 4 6

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B.2.2 Receiver Database (one of the simulation receiver databases: re1.txt)

1 21.04 116.5 21.3 2 32.3 120.3 21.3 3 40.8 156.9 24.07 4 71.7 191.2 21.12 5 87.5 180.2 24.47 6 104 212.6 22.12 7 156 196.7 21.9 8 165.4 205 21.9 9 179.5 216 22.2 10 213.5 230.2 21.12 11 211.3 219.6 24.47

B.2.3 Terrain Elevation Database (Part of te.txt)

0 0 9.834 5 0 9.834 10 0 9.834 15 0 9.834 20 0 9.834 25 0 9.834 30 0 9.834 35 0 9.834 40 0 9.834 45 0 9.834 50 0 9.834 55 0 9.834 60 0 9.834 65 0 9.834 70 0 9.834 75 0 9.834 80 0 9.834 85 0 9.834 90 0 9.834 95 0 9.834 100 0 7.015 105 0 7.015 110 0 7.015 115 0 7.015 120 0 7.015 125 0 7.015 130 0 7.015

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135 0 7.015 140 0 7.015 145 0 7.015 150 0 7.015 155 0 7.015 160 0 7.015 165 0 7.015 170 0 7.015 175 0 7.015 180 0 7.015 185 0 7.015 190 0 7.015 195 0 7.015 200 0 7.015 205 0 7.015 210 0 7.015 215 0 7.015 0 5 9.838 5 5 9.838 10 5 9.838 15 5 9.838 20 5 9.838 25 5 9.838 30 5 9.838 35 5 9.838 40 5 9.838 45 5 9.838 50 5 9.838 55 5 9.838 60 5 9.838 65 5 9.838 70 5 9.838 75 5 9.838 80 5 9.838 85 5 9.838 90 5 9.838 95 5 9.838 100 5 7.015 105 5 7.015 110 5 7.015 115 5 7.015 120 5 7.015 125 5 7.015 130 5 7.015 135 5 7.015 140 5 7.015 145 5 7.015

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150 5 7.015 155 5 7.015 160 5 7.015 165 5 7.015 170 5 7.015 175 5 7.015 180 5 7.015 185 5 7.015 190 5 7.015 195 5 7.015 200 5 7.015 205 5 7.015 210 5 7.015 215 5 7.015 0 10 9.838 5 10 9.838 10 10 9.838 15 10 9.838 20 10 9.838 25 10 9.838 30 10 9.838 35 10 9.838 40 10 9.838 45 10 9.838 50 10 9.838 55 10 9.838 60 10 9.838 65 10 9.838 70 10 9.838 75 10 9.838 80 10 9.838 85 10 9.838 90 10 9.838 95 10 9.838 100 10 7.015 105 10 7.015 110 10 7.015 115 10 7.015 120 10 7.015 125 10 7.015 130 10 7.015 135 10 7.015 140 10 7.015 145 10 7.015 150 10 7.015 155 10 7.015 160 10 7.015

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165 10 7.015 170 10 7.015 175 10 7.015 180 10 7.015 185 10 7.015 190 10 7.015 195 10 7.015 200 10 7.015 205 10 7.015 210 10 7.015 215 10 7.015 0 15 9.838 5 15 9.838 10 15 9.838 15 15 9.838 20 15 9.838 25 15 9.838 30 15 9.838 35 15 9.838 40 15 9.838 45 15 9.838 50 15 9.838 55 15 9.838 60 15 9.838 65 15 9.838 70 15 9.838 75 15 9.838 80 15 9.838 85 15 9.838 90 15 9.838 95 15 9.838 100 15 7.015 105 15 7.015 110 15 7.015 115 15 7.015 120 15 7.015 125 15 7.015 130 15 7.015 135 15 7.015 140 15 7.015 145 15 7.015 150 15 7.015 155 15 7.015 160 15 7.015 165 15 7.015 170 15 7.015 175 15 7.015

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180 15 7.015 185 15 7.015 190 15 7.015 195 15 7.015 200 15 7.015 205 15 7.015 210 15 7.015 215 15 7.015 0 20 9.838 5 20 9.838 10 20 9.838 15 20 9.838 20 20 9.838 25 20 9.838 30 20 9.838 35 20 9.838 40 20 9.838 45 20 9.838 50 20 9.838 55 20 9.838 60 20 9.838 65 20 9.838 70 20 9.838 75 20 9.838 80 20 9.838 85 20 9.838 90 20 9.838 95 20 9.838 100 20 7.015 105 20 7.015 110 20 7.015 115 20 7.015 120 20 7.015 125 20 7.015 130 20 7.015 135 20 7.015 140 20 7.015 145 20 7.015 150 20 7.015 155 20 7.015 160 20 7.015 165 20 7.015 170 20 7.015 175 20 7.015 180 20 7.015 185 20 7.015 190 20 7.015

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195 20 7.015 200 20 7.015 205 20 7.015 210 20 7.015 215 20 7.015 . . . . . . . . . . . . 60 210 13.5 65 210 13.5 70 210 13.5 75 210 13.5 80 210 13.5 85 210 13.5 90 210 13.5 95 210 13.5 100 210 13.5 105 210 13.5 110 210 13.2 115 210 13.2 120 210 13.2 125 210 13.5 130 210 13.5 135 210 11.8 140 210 11.8 145 210 11.8 150 210 11.8 155 210 11.8 160 210 11.8 165 210 11.8 170 210 11.8 175 210 12.1 180 210 12.1 185 210 12.1 190 210 12.1 195 210 12.1 200 210 12.1 205 210 12.1 210 210 12.1 215 210 12.1 0 215 13.5 5 215 13.5 10 215 13.5 15 215 13.5 20 215 13.5 25 215 13.5

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30 215 13.5 35 215 13.5 40 215 13.5 45 215 13.5 50 215 13.5 55 215 13.5 60 215 13.5 65 215 13.5 70 215 13.5 75 215 13.5 80 215 13.5 85 215 13.5 90 215 13.5 95 215 13.5 100 215 13.5 105 215 13.5 110 215 13.5 115 215 13.5 120 215 13.5 125 215 13.5 130 215 13.1 135 215 13.1 140 215 13.1 145 215 13.1 150 215 13.1 155 215 13.1 160 215 13.1 165 215 13.1 170 215 13.1 175 215 13.1 180 215 12.1 185 215 12.1 190 215 12.1 195 215 12.1 200 215 12.1 205 215 12.1 210 215 12.1 215 215 12.1 0 220 13.5 5 220 13.5 10 220 13.5 15 220 13.5 20 220 13.5 25 220 13.5 30 220 13.5 35 220 13.5 40 220 13.5

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45 220 13.5 50 220 13.5 55 220 13.5 60 220 13.5 65 220 13.5 70 220 13.5 75 220 13.5 80 220 13.5 85 220 13.5 90 220 13.5 95 220 13.5 100 220 13.5 105 220 13.5 110 220 13.5 115 220 13.5 120 220 13.5 125 220 13.1 130 220 13.1 135 220 13.1 140 220 13.1 145 220 13.1 150 220 13.1 155 220 13.1 160 220 13.1 165 220 13.4 170 220 13.4 175 220 13.4 180 220 13.4 185 220 13.4 190 220 13.4 195 220 13.4 200 220 13.4 205 220 13.8 210 220 13.8 215 220 13.8

0 225 13.5 5 225 13.5 10 225 13.5 15 225 13.5 20 225 13.5 25 225 13.5 30 225 13.5 35 225 13.5 40 225 13.5 45 225 13.5 50 225 13.5

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55 225 13.5 60 225 13.5 65 225 13.5 70 225 13.5 75 225 13.5 80 225 13.5 85 225 13.5 90 225 13.5 95 225 13.5 100 225 13.5 105 225 13.5 110 225 13.5 115 225 13.5 120 225 13.5 125 225 13.5 130 225 13.1 135 225 13.1 140 225 13.1 145 225 13.1 150 225 13.1 155 225 13.1 160 225 13.1 165 225 13.1 170 225 13.1 175 225 13.4 180 225 13.4 185 225 13.4 190 225 13.4 195 225 13.4 200 225 13.4 205 225 13.4 210 225 13.8 215 225 13.8 0 230 13.5 5 230 13.5 10 230 13.5 15 230 13.5 20 230 13.5 25 230 13.5 30 230 13.5 35 230 13.5 40 230 13.5 45 230 13.5 50 230 13.5 55 230 13.5 60 230 13.5 65 230 13.5

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70 230 13.5 75 230 13.5 80 230 13.5 85 230 13.5 90 230 13.5 95 230 13.5 100 230 13.5 105 230 13.5 110 230 13.5 115 230 13.5 120 230 13.5 125 230 13.5 130 230 13.5 135 230 13.5 140 230 13.5 145 230 13.5 150 230 13.5 155 230 13.5 160 230 13.5 165 230 13.5 170 230 13.4 175 230 13.4 180 230 13.4 185 230 13.4 190 230 13.4 195 230 13.4 200 230 13.4 205 230 13.4 210 230 13.8 215 230 13.8 0 235 13.5 5 235 13.5 10 235 13.5 15 235 13.5 20 235 13.5 25 235 13.5 30 235 13.5 35 235 13.5 40 235 13.5 45 235 13.5 50 235 13.5 55 235 13.5 60 235 13.5 65 235 13.5 70 235 13.5 75 235 13.5 80 235 13.5

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85 235 13.5 90 235 13.5 95 235 13.5 100 235 13.5 105 235 13.5 110 235 13.5 115 235 13.5 120 235 13.5 125 235 13.5 130 235 13.5 135 235 13.5 140 235 13.5 145 235 13.5 150 235 13.5 155 235 13.5 160 235 13.5 165 235 13.5 170 235 13.5 175 235 13.5 180 235 13.5 185 235 13.5 190 235 13.5 195 235 13.5 200 235 13.5 205 235 13.5 210 235 13.5 215 235 13.5

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B.2.4 Antenna Radiation Pattern Database (Part of an.txt)

H,0,1.78E-06

H,1,1.78E-06

H,2,2.24E-06

H,3,2.24E-06

H,4,2.51E-06

H,5,2.51E-06

H,6,2.51E-06

H,7,2.51E-06

H,8,2.51E-06

H,9,2.51E-06

H,10,2.51E-06

H,11,2.51E-06

H,12,2.51E-06

H,13,2.51E-06

H,14,2.00E-06

H,15,2.00E-06

H,16,1.78E-06

H,17,1.78E-06

H,18,1.41E-06

H,19,1.41E-06

H,20,1.12E-06

H,21,1.12E-06

H,22,1.00E-06

H,23,1.00E-06

H,24,8.91E-07

H,25,8.91E-07

H,26,1.12E-06

H,27,1.12E-06

H,28,1.59E-06

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H,29,1.59E-06

H,30,2.00E-06

H,31,2.00E-06

H,32,2.24E-06

H,33,2.24E-06

H,34,2.51E-06

H,35,2.51E-06

H,36,2.82E-06

H,37,2.82E-06

V,320,2.82E-07

. . .

. . .

. . . V,321,2.82E-07

V,322,2.51E-07

V,323,2.51E-07

V,324,2.24E-07

V,325,2.24E-07

V,326,2.51E-07

V,327,2.51E-07

V,328,2.82E-07

V,329,2.82E-07

V,330,2.82E-07

V,331,2.82E-07

V,332,2.82E-07

V,333,2.82E-07

V,334,3.16E-07

V,335,3.16E-07

V,336,3.55E-07

V,337,3.55E-07

V,338,3.55E-07

V,339,3.55E-07

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V,340,3.55E-07

V,341,3.55E-07

V,342,3.55E-07

V,343,3.55E-07

V,344,3.55E-07

V,345,3.55E-07

V,346,3.16E-07

V,347,3.16E-07

V,348,2.82E-07

V,349,2.82E-07

V,350,2.82E-07

V,351,2.82E-07

V,352,2.51E-07

V,353,2.51E-07

V,354,2.82E-07

V,355,2.82E-07

V,356,3.55E-07

V,357,3.55E-07

V,358,2.24E-07

V,359,2.24E-07

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B.3 Output of the Prediction Tool

#Start Time: Tue Mar 07 22:37:53 2006 #End Time: Tue Mar 07 22:38:16 2006 #****************************************#*** INPUT FILES #*** Buildings: bs.txt #*** Receivers: re1.txt #*** Terrain: te.txt #*** Indoor Features: none #*** Preprocessed Data: none #****************************************#*** INPUT PARAMETERS #*** Incremental angle 1.000 #*** Number of Reflections 6 #*** Number of Diffractions 2 #*** Prediction Frequency 2440.0MHz #*** Fresnel Width Used n=1.00 #*** Single Ray Model Was Used #*** Transmitter Located at x=142.5 y=78.1 z=16.9 #*** Height of Transmitter 0.3 #*** Height of Receivers 0.3 #****************************************

1 21.0 116.5 21.6 -62.14 | 6.11e-007 1 0.00e+000 0 0.00e+000 0 0.00e+000 0 | 7.63e-011 4.25e-007

2 32.3 120.3 21.6 -57.63 | 1.72e-006 1 0.00e+000 0 0.00e+000 0 0.00e+000 0 | 7.07e-011 3.94e-007

3 40.8 156.9 24.4 -58.28 | 1.48e-006 1 0.00e+000 0 0.00e+000 0 0.00e+000 0 | 7.71e-011 4.30e-007

4 71.7 191.2 21.4 -61.38 | 7.27e-007 1 0.00e+000 0 0.00e+000 0 0.00e+000 0 | 7.99e-011 4.45e-007

5 87.5 180.2 24.8 -67.39 | 0.00e+000 0 1.83e-007 1 0.00e+000 0 0.00e+000 0 | 6.96e-011 3.88e-007

6 104.0 212.6 22.4 -91.73 | 0.00e+000 0 6.72e-010 1 0.00e+000 0 0.00e+000 0 | 8.39e-011 4.67e007

7 156.0 196.7 22.2 -57.73 | 1.68e-006 1 0.00e+000 0 0.00e+000 0 0.00e+000 0 | 7.15e-011 3.98e007

8 165.4 205.0 22.2 -59.71 | 0.00e+000 0 1.07e-006 1 0.00e+000 0 0.00e+000 0 | 7.73e-011 4.30e007

9 179.5 216.0 22.5 -89.53 | 0.00e+000 0 1.11e-009 1 0.00e+000 0 0.00e+000 0 | 8.63e-011 4.80e007

10 213.5 230.2 21.4 -92.40 | 0.00e+000 0 5.75e-010 1 0.00e+000 0 0.00e+000 0 | 1.01e-010 5.62e007

11 211.3 219.6 24.8 -61.38 | 7.14e-007 1 1.40e-008 1 0.00e+000 0 0.00e+000 0 | 3.11e-009 5.26e007

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B.4 VPL Ray Tracing Visualization Code

format short

disp('***************Program is running. **************’)

bd=input('Please insert a building database filename: ','s');

te=input('Please insert a terrain database filename: ','s');

name=input('Please insert simulation result filename: ','s');

startno=input('Ray trace at receiver number (start) : ','s');

stopno=input('Ray trace at receiver number (end) : ','s');

freq=input('Please insert frequency used [MHz] during simulation (eg:2000) :','s');

file1=fopen(bd,'r');

file2=fopen('build.txt','w');

build=fscanf(file1,'%d %f %f %f %f %*f \n')';

fprintf(file2,'%d %f %f %f %f \n',build);

build=[reshape(build,5,[])]';

fclose(file1);

fclose(file2);

figure;

file3=fopen(te,'r');

te=fscanf(file3,'%f %f %f \n')';

te=[reshape(te,3,[])]';

[Y,X] = meshgrid(0:5:235,0:5:215);

Z = te(:,3);

Z=[reshape(Z,44,[])];

[C,h] = contour3(X,Y,Z,100);

hold on;

% surface(X,Y,Z,'EdgeColor',[.8 .8 .8],'FaceColor','interp','CDataMapping','direct')

surface(X,Y,Z,'EdgeColor',[.8 .8 .8],'FaceColor','none','CDataMapping','direct')

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% colormap cool

% clabel(C,h)

colormap copper

fclose(file3);

data=[name,'_tx1_',freq,'MHz'];

file5=fopen(data,'rt');

file6=fopen('rxpoint.txt','w');

status=fseek(file5,685,-1);

result=fscanf(file5,'%d %f %f %f %*4d %*s %*s %*4d %*s %*d %*4d %*s %*d

%*4d %*s %*d %*4d %*s %*d %*s %*4d %*s %*4d %*s\n')';

fprintf(file6,'%d %f %f %f \n',result);

result=[reshape(result,4,[])]';

fclose(file5);

fclose(file6);

data=[name,'_tx1_',freq,'MHz'];

file3=fopen(data,'rt');

status=fseek(file3,542,-1);

Xt=fscanf(file3,'%*4s %*11s %*7s %*2s %f');

status=fseek(file3,542,-1);

Yt=fscanf(file3,'%*4s %*11s %*7s %*2s %*f %*2s %f');

status=fseek(file3,542,-1);

Zt=fscanf(file3,'%*4s %*11s %*7s %*2s %*f %*2s %*f %*2s %f');

status=fseek(file3,542,-1);

height=fscanf(file3,'%*4s %*11s %*7s %*2s %*f %*2s %*f %*2s %*f\n %*4s %*6s

%*2s %*11s %f');

fclose(file3);

plot3(Xt,Yt,Zt,'*b')

plot3([Xt Xt],[Yt Yt],[Zt Zt+height],'-g*','LineWidth',1,'MarkerEdgeColor',[0 0

0],'MarkerFaceColor',[0 0 0])

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109

plot3([Xt Xt],[Yt Yt],[Zt Zt+height],'-g','LineWidth',5);

plot3(Xt,Yt,Zt,'*k')

plot3(Xt,Yt,Zt+height,'*k')

legend('Receiver Point','Transmitter',4);

% Building drawing %

n=length(build);

i=1;

m=0;

while i<=n-1

if build(i+1,1)==build(i,1)

xa=[build(i,2) build(i,2) build(i+1,2) build(i+1,2)];

ya=[build(i,3) build(i,3) build(i+1,3) build(i+1,3)];

za=[build(i,4)-build(i,5) build(i,4) build(i+1,4) build(i+1,4)-build(i+1,5)];

fill3(xa,ya,za,'y')

m=m+1;

else

xa=[build(i,2) build(i,2) build(i-m,2) build(i-m,2)];

ya=[build(i,3) build(i,3) build(i-m,3) build(i-m,3)];

za=[build(i,4)-build(i,5) build(i,4) build(i-m,4) build(i-m,4)-build(i-m,5) ];

fill3(xa,ya,za,'y')

xb=build(i-m:i,2);

yb=[build(i-m:i,3)];

zb=[build(i-m:i,4)-build(i-m:i,5)];

fill3(xb,yb,zb,'y')

xc=build(i-m:i,2);

yc=[build(i-m:i,3)];

zc=[build(i-m:i,4)];

fill3(xc,yc,zc,'y')

m=0;

end

i=i+1;

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end

xa=[build(i,2) build(i,2) build(i-m,2) build(i-m,2)];

ya=[build(i,3) build(i,3) build(i-m,3) build(i-m,3)];

za=[build(i,4)-build(i,5) build(i,4) build(i-m,4) build(i-m,4)-build(i-m,5) ];

fill3(xa,ya,za,'y')

xb=build(i-m:i,2);

yb=[build(i-m:i,3)];

zb=[build(i-m:i,4)-build(i-m:i,5)];

fill3(xb,yb,zb,'y')

xc=build(i-m:i,2);

yc=[build(i-m:i,3)];

zc=[build(i-m:i,4)];

fill3(xc,yc,zc,'y')

% set(gca,'dataaspectratio',[2 2 1],'plotboxaspectratio',[320 320 100])

% set(gca,'cameraviewanglemode','manual')

yd=[256.0 257.5 253.0 257.5];

xd=[536.0 538.6 536.0 533.4];

zd=[90 60 60 60];

fill3(xd,yd,zd,'w')

startno=strread(startno,'%u');

stopno=strread(stopno,'%u');

num=startno;

while num<=stopno

number=int2str(num);

file4=fopen('ray_edit.txt','w');

rayfile=['C:\ray_paths_tx1_rx',number,'_',freq,'MHz'];

[x,y,z]=textread(rayfile,'%f %f %f','whitespace','\n','commentstyle','shell');

ray=[x,y,z];

fprintf(file4,'%f %f %f \n',ray);

fclose(file4);

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plot3(result(num,2),result(num,3),result(num,4),'*b');

n=length(ray);

i=2;

while i<=n

if i==n

plot3([ray(i,1) ray(i-1,1)],[ray(i,2) ray(i-1,2)],[ray(i,3) ray(i-1,3)],'r');

plot3([ray(i,1) result(num,2)],[ray(i,2) result(num,3)],[ray(i,3) result(num,4)],'r');

i=i+1;

elseif n==3&i==2

plot3([ray(i,1) ray(i-1,1)],[ray(i,2) ray(i-1,2)],[ray(i,3) ray(i-1,3)],'r');

plot3([ray(i,1) result(num,2)],[ray(i,2) result(num,3)],[ray(i,3) result(num,4)],'r');

i=i+2;

elseif ray(i,1)==ray(1,1)&ray(i,2)==ray(1,2)&ray(i,3)==ray(1,3)

plot3([ray(i-1,1) result(num,2)],[ray(i-1,2) result(num,3)],[ray(i-1,3)

result(num,4)],'r');

i=i+1;

else

plot3([ray(i,1) ray(i-1,1)],[ray(i,2) ray(i-1,2)],[ray(i,3) ray(i-1,3)],'r');

i=i+1;

end

end

num=num+1;

end

hold off

disp('********************Ray Trace Successfully. ********************’)