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IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE)
e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 5, Issue 3 (Mar. - Apr. 2013), PP 08-12
www.iosrjournals.org
www.iosrjournals.org 8 | Page
Simulation of Wimax 802.16E Physical Layermodel
Olalekan Bello1
, Fasasi .A. Adebari2
1,2
Department of Computer Engineering,
Yaba College of Technology, PMB 2011, Yaba, Lagos, Nigeria
Abstract: The needs of high speed broadband wireless access at lower cost and easy deployment to meet the
modern mobile services leads in the emergence of an another IEEE standard called Worldwide Interoperability
for Microwave Access (WiMAX). The limitations of conventional Broadband wireless access have been
overcomewith the scalable features of WiMAX. The main purpose of this paper is to evaluate, analyze and
compare the performance of a WiMAX under different data rate and coding techniques. For this purpose a
simulation model of WiMAX PHY layer transmitter and Receiver has been designed using MATLAB. The model
was implemented at the Physical Layer using ConvolutionalEncoding Rate of 3/416-QAM modulations and
transmitted with 256 OFDM symbols in both the AWGN and Rayleigh fading channels. In this thesis, the
performance analysis is being done by studying the bit loss and Packet losses that occurred during transmission
over channel. It is found that the performance of transmitted data not only depends on parameters like Signal to
noise ratio (SNR) and Signal power but also on the effect of transmission channel.
Keywords: WiMAX-IEEE802.16,Physical Layer,QAM, SNR, Signal Power, Bit Loss, AWGN, Rayleigh
I. Introduction
WiMAX, the IEEE 802.16e standard has brought a revolution in wireless broadband technology. Fixed
Broadband Wireless Access (FBWA) systems that are capable to transmit higher data rates over larger
geographical areas are not fulfilling the QOS needs. WiMAX is a substitute to wired DSL technology for last-
mile solutions for providing backhaul services, thus increasing the data rate for large area. IEEE standard
802.16e provides fixed, nomadic,and mobile wireless broadband connectivity without the need for direct line-
of-sight with the base station. This makes user to get all new and emerging services such as Video on Demand
(VoD), Internet Protocol Television (IPTV) etc at the required place. This paper analyses the Bit Error Rate
(BER) and throughput performance of WiMAX as a function of signal-to-noise-ratio (SNR) for AWGN and
Rayleigh fading channel.The model implemented in this thesishas the following characteristics:
The paper is organized as follows: a description of WiMAX simulation model is described in section II
and Section III presents the performance analysis in terms of BitLoss and SNR.
II. WiMAXPhysical Layer Simulation Model
The WiMAX simulator presented in this paper had been implemented in MATLAB. The functional
stages had been mainly designed by using in MATLAB 2009b version. The WiMAX PHY layer model mainly
consists ofthree major parts: Transmitter, Channel and Receiver as represented in figure 1 and characteristics of
the WiMAX simulation model is shown in Table 1.
Table 1: Characteristics of WiMAX Simulation Model
Standard 802.16e
Data rate 18 Mbps or 36 Mbps
Carrier Frequency 10 GHz
Bandwidth size 1.5MHz to 20 MHz
Topology Mesh
Modulation 16-QAM
Radio Technology OFDM
Simulationof Wimax 802.16E Physical Layermodel
www.iosrjournals.org 9 | Page
Random
data
generator
Channel
enconding
Mapping IFFT
Cyclic
Prefix
Insertion
Output data
Channel
decoding
De-
mapping
FTT
Cyclic
Prefix
Removal
Fig 1: Simulation Setup
A. WiMAX Transmitter Section
The PHY layer transmitter section consists of Channel encoderand Modulator. Channel encoding stage
includes Randomization, acombination of inner Reed Solomon code and outer convolutionalcode and
puncturing to produce higher code rate as shown in figure 2. To reduce theimpact of burst error a block
interleaver is used to interleavethe encoded bits onto separated subcarriers. The data is thenmodulated using 16-
QAM modulation techniques, the modulateddata is mapped by segmenting the sequence of modulated
symbolsinto a sequence of slots and then mapping these slots into a dataregion. After mapping the modulation
symbols are assigned totheir corresponding logical subcarriers. The modulation parameters used are as in Table
2.
Data
Randomization
Interleaving
Reed-
Solomon
encoding
Convolutional
encoding
De-interleaving
Reed-
Solomon
decoding
Convolutional
decoding
De-randomization
FEC
FEC
Channel Encoding Setup
Channel Decoding Setup
Fig. 2 : Channel Encoding and Decoding Setup
Table 2: Modulation Parameters
Modulation Overall coding rate RS code CC code rate
16-QAM ¾ (80,72,4) 2/3
In WiMAX, each OFDM symbol consists of 256 subcarriers. Out of which 192 sub-carriers are used to convey
data, 8 Pilot carriers,52 null subcarriers and a guard interval are also inserted at this point. The main purpose to
use guard band to prevent Inter Symbol Interference (ISI). The OFDM parameters used are listed in Table 2.
The final stage is to convert the data into a time -domain form for use by IFFT algorithm. The data is then
transmitted throughchannel.
Table 2: OFDMSymbol Parameters
Parameters Value
Nominal Channel Bandwidth, BW 10 MHz
Number of Used Subcarrier, Nused 200
Correction Factor, n 144/125
Ratio of Guard time to useful symbol time, G 1/16
Simulationof Wimax 802.16E Physical Layermodel
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NFFT 256
Sampling Frequency, Fs Floor(n.BW/8000) x 8000
Subcarrier Spacing, Δf Fs/NFFT
Useful Symbol Time, Tb 1/Δf
CP Time, Tg G.Tb
OFDM Symbol Time, Ts Tb+Tg
B. WiMAX Channel Section
The Stanford University Interim (SUI) channel model is used for our simulation to model our Rayleigh
fading. In this model a set of sixchannels can be selected to address three different terrain
types that are typical of the continental US [10]. This model can be used for simulations,design, development
and testing of technologies suitable for fixed broadband wireless applications [9]. The parameters for the model
were selected based upon some statistical models. The tables below depict the parametric view of the six SUI
channels.
Table 3:Terrain type for SUI channel
Terrain Type SUI Channels
C (Mostly flat terrain with light tree
densities)
SUI-1,SUI-2
B (Hilly terrain with light tree
density or flat terrain with moderate
to heavy tree density)
SUI-3, SUI-4
A (Hilly terrain with moderate to heavy
tree density)
SUI-5, SUI-6
C. WiMAX Receiver Section
At the Receiver section, the data received is first goes through PHY layer. In PHY layer the reveres
process of transmitter occurs. The received data coming from channel is fed into the OFDM demodulation,
which consist of removal of CP, Fast Fourier Transform (256 FFT) and disassemble OFDM frame. To convert
received data from time domain to frequency domain, the FFT is used. It is needed because the decoding
processes arework on frequency domain based signal. Guard band which is added at the transmitter side is also
removed at this point. Then, the data is performed by de-mapper to convert the waveforms created at the
modulation mapper to the original transformed bits and afterwards the demapped data enter the channel decoder.
Channel decoder consists of de-interleaver, depuncture, Viterbi decoder and finally RS decoder. The
deinterleaver consists of two blocks, a general block deinterleaver and a matrix deinterleaver. The general block
deinterleaver rearranges the elements of its input according to an index vector. The matrix deinterleaver
performs block deinterleaving by filling a matrix with the input symbols column by column, and then, sending
its contents to the output row by row. Depuncturing the reverse process of puncturing. Zeros are used to fill the
corresponding hollows of the stream in order to getthe same code rate as before performing the puncturing
process. This depunctured bit stream is decoded by Viterbi algorithmand finally derandomized.
III. Results and Discussion
The test was carried out on the WiMAX Simulation model. Each block of the simulation model was
tested by a test vector. These vectors were generated in MATLAB. The performance was evaluated by
transmitting the output OFDM symbols through the AWGN and Rayleigh fading (modeled using SUI-1)
channels. 50 samples of 16-QAM signals were transmitted in each case according to Modulation and OFDM
parameters as listed in Tables 1 and 2. The performance is displayed in in terms of the Bit Loss versus SNR.
Figures 3 and 4 show the Bit Loss versus SNR at various constant signal power for 16QAMin AWGN
and Rayleigh fading channels. It can be observed that the bit loss becomes zero at SNR =11dB, 13dB,
13dB,15dB and 15dB respectively at a constant signal power of 0.4, 0.6,0.8,1.0 and 1.2 watts in AWGN while
in Rayleigh fading bit loss of zero was achieved at SNR=11dB, 13dB, 15dB,15dB and 15dB respectively at a
constant signal power of 0.4, 0.6,0.8,1.0 and 1.2 watt. The Bit Loss at 0.4,0.6,1.0and 1.2 watt maintain almost
the same SNR requirement for zero bit loss in Rayleigh channel as in AWGN channel except the bit loss at 0.8
watt which requires additional SNR of 2dB in Rayleigh channel.
Figures 5 and 6 represent the Bit Loss versus Signal Power at various SNR respectively in AWGN and
Rayleigh channels. It was observed that for a fixed SNR the Bit Loss generally increases as the signal power
increases. This is expected as the noise will increase correspondingly. However, in AWGN channel SNR=16dB
achieves practically zero bit loss. For a range of signal power 0.4 watt to 1.2 watt. The SNR=14dB achieves zero
bit loss in range of 0.4 watt to 0.8 watt only, while at SNR=12dB zero bit loss was possible only in the range of
Simulationof Wimax 802.16E Physical Layermodel
www.iosrjournals.org 11 | Page
0.4dB to 0.5dB. Zero bit loss was not possible for SNR=8dB and SNR=4dB at 0.4 watt. In Rayleigh channel
zero bit loss was achievable for both SNR=14dB and SNR=16dB in the range up to 0.8 watts only. It is
interesting to note also that SNR curves show increase in slope for SNR=12,14,16dB curvesbut decrease in
slope for SNR=4 ,8dB curves all at signal power 0.8 wattwhether in the AWGN channel or Rayleigh channel.
Fig. 3: Bit Loss versus SNR with 16QAM in AWGN channel
Fig. 4: Bit Loss versus SNR with 16QAM in Rayleigh fading channel
Fig. 5: Bit Loss versus Signal Power with 16-QAM in AWGN channel
Simulationof Wimax 802.16E Physical Layermodel
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Fig. 6: Bit Loss versus Signal Power with 16-QAM in Rayleigh channel
IV. Conclusion
From the experimental results, figures and plots, it can be concluded that for a constant value of SNR,
if we are decreasing the signal power then it implies that noise is also decreasing & therefore bit loss & packet
losses are also reduced. These losses are almost zero for a very low value of signal power such as 0.4 watt &
SNR greater than 15dB, but transmission will not be faithful practically with this much low power signals.
Signal power at 0.8 watts appears to indicate a limit beyond which zero bit loss cannot be guaranteed. So we try
to find the appropriate combination of SNR & signal power for which losses are zero & the packets are
practically received with full authenticity. SNR =13dB & signal power = 0.6watt fulfill these needs, hence we
can use this combination
References
[1] J. G. Andrews, A. Ghosh, R. Muhamed,“Introduction to Broadband Wireless, in Fundamentals of WiMAX: understanding
broadband wireless networking”, Prentice Hall, 2007.
[2] A. Roca,“Implementation ofWiMAX simulator in Simulink”, EngineeringInstitute-Vienna, February 2007.
[3] IEEE Standard for Local and Metropolitan Area Networks Part 16,“Air Interface for Fixed broadband Wireless Access Systems”,
IEEE Computer Society.
[4] Hassan Yaghoobi,“Scalable OFDMA Physical Layer in IEEE 802.16 WirelessMAN”, Intel Communications Group, Intel
Corporation. 2004.
[5] M.A. Hasan,“Performance Evaluation of WiMAX/IEEE 802.16 OFDM Physical Layer”, Master of Science inTechnology, Espoo,
June 2007.
[6] LoutfiNuaymi,“WiMAX Technology For BroadbandWireless Access”, Jhonwilley publication, 2007.
[7] Eduardo Flores Flores, Raul Aquino Santos, Victor Rangel Licea, Miguel A. Garcia-Ruiz,“MAC layer Mechanism for Wireless
WiMAX Networks with Mesh Topology”, Electronics, Robotics and Automotive Mechanics Conference 2008.
[8] Fan Wang, AmitavaGhosh, ChandySankaran, Philip J. Fleming, Frank Hsieh, Stanley J. Benes,“MobileWiMAX Systems:
Performance and Evolution”, IEEE Communications Magazine, October 2008.
[9] V. Erceg, K.V.S. Hari, M.S. Smith, D.S. Baum et al, “ Channel Models for FixedWireless Applications”, IEEE 802.16.3Task Group
Contributions 2001, Feb. 01
[10] V. Erceget. al, “An empirically based path loss model for wireless channels insuburban environments,” IEEE JSAC, vol. 17, no. 7,
July 1999, pp. 12051211.

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Simulation of Wimax 802.16E Physical Layermodel

  • 1. IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 5, Issue 3 (Mar. - Apr. 2013), PP 08-12 www.iosrjournals.org www.iosrjournals.org 8 | Page Simulation of Wimax 802.16E Physical Layermodel Olalekan Bello1 , Fasasi .A. Adebari2 1,2 Department of Computer Engineering, Yaba College of Technology, PMB 2011, Yaba, Lagos, Nigeria Abstract: The needs of high speed broadband wireless access at lower cost and easy deployment to meet the modern mobile services leads in the emergence of an another IEEE standard called Worldwide Interoperability for Microwave Access (WiMAX). The limitations of conventional Broadband wireless access have been overcomewith the scalable features of WiMAX. The main purpose of this paper is to evaluate, analyze and compare the performance of a WiMAX under different data rate and coding techniques. For this purpose a simulation model of WiMAX PHY layer transmitter and Receiver has been designed using MATLAB. The model was implemented at the Physical Layer using ConvolutionalEncoding Rate of 3/416-QAM modulations and transmitted with 256 OFDM symbols in both the AWGN and Rayleigh fading channels. In this thesis, the performance analysis is being done by studying the bit loss and Packet losses that occurred during transmission over channel. It is found that the performance of transmitted data not only depends on parameters like Signal to noise ratio (SNR) and Signal power but also on the effect of transmission channel. Keywords: WiMAX-IEEE802.16,Physical Layer,QAM, SNR, Signal Power, Bit Loss, AWGN, Rayleigh I. Introduction WiMAX, the IEEE 802.16e standard has brought a revolution in wireless broadband technology. Fixed Broadband Wireless Access (FBWA) systems that are capable to transmit higher data rates over larger geographical areas are not fulfilling the QOS needs. WiMAX is a substitute to wired DSL technology for last- mile solutions for providing backhaul services, thus increasing the data rate for large area. IEEE standard 802.16e provides fixed, nomadic,and mobile wireless broadband connectivity without the need for direct line- of-sight with the base station. This makes user to get all new and emerging services such as Video on Demand (VoD), Internet Protocol Television (IPTV) etc at the required place. This paper analyses the Bit Error Rate (BER) and throughput performance of WiMAX as a function of signal-to-noise-ratio (SNR) for AWGN and Rayleigh fading channel.The model implemented in this thesishas the following characteristics: The paper is organized as follows: a description of WiMAX simulation model is described in section II and Section III presents the performance analysis in terms of BitLoss and SNR. II. WiMAXPhysical Layer Simulation Model The WiMAX simulator presented in this paper had been implemented in MATLAB. The functional stages had been mainly designed by using in MATLAB 2009b version. The WiMAX PHY layer model mainly consists ofthree major parts: Transmitter, Channel and Receiver as represented in figure 1 and characteristics of the WiMAX simulation model is shown in Table 1. Table 1: Characteristics of WiMAX Simulation Model Standard 802.16e Data rate 18 Mbps or 36 Mbps Carrier Frequency 10 GHz Bandwidth size 1.5MHz to 20 MHz Topology Mesh Modulation 16-QAM Radio Technology OFDM
  • 2. Simulationof Wimax 802.16E Physical Layermodel www.iosrjournals.org 9 | Page Random data generator Channel enconding Mapping IFFT Cyclic Prefix Insertion Output data Channel decoding De- mapping FTT Cyclic Prefix Removal Fig 1: Simulation Setup A. WiMAX Transmitter Section The PHY layer transmitter section consists of Channel encoderand Modulator. Channel encoding stage includes Randomization, acombination of inner Reed Solomon code and outer convolutionalcode and puncturing to produce higher code rate as shown in figure 2. To reduce theimpact of burst error a block interleaver is used to interleavethe encoded bits onto separated subcarriers. The data is thenmodulated using 16- QAM modulation techniques, the modulateddata is mapped by segmenting the sequence of modulated symbolsinto a sequence of slots and then mapping these slots into a dataregion. After mapping the modulation symbols are assigned totheir corresponding logical subcarriers. The modulation parameters used are as in Table 2. Data Randomization Interleaving Reed- Solomon encoding Convolutional encoding De-interleaving Reed- Solomon decoding Convolutional decoding De-randomization FEC FEC Channel Encoding Setup Channel Decoding Setup Fig. 2 : Channel Encoding and Decoding Setup Table 2: Modulation Parameters Modulation Overall coding rate RS code CC code rate 16-QAM ¾ (80,72,4) 2/3 In WiMAX, each OFDM symbol consists of 256 subcarriers. Out of which 192 sub-carriers are used to convey data, 8 Pilot carriers,52 null subcarriers and a guard interval are also inserted at this point. The main purpose to use guard band to prevent Inter Symbol Interference (ISI). The OFDM parameters used are listed in Table 2. The final stage is to convert the data into a time -domain form for use by IFFT algorithm. The data is then transmitted throughchannel. Table 2: OFDMSymbol Parameters Parameters Value Nominal Channel Bandwidth, BW 10 MHz Number of Used Subcarrier, Nused 200 Correction Factor, n 144/125 Ratio of Guard time to useful symbol time, G 1/16
  • 3. Simulationof Wimax 802.16E Physical Layermodel www.iosrjournals.org 10 | Page NFFT 256 Sampling Frequency, Fs Floor(n.BW/8000) x 8000 Subcarrier Spacing, Δf Fs/NFFT Useful Symbol Time, Tb 1/Δf CP Time, Tg G.Tb OFDM Symbol Time, Ts Tb+Tg B. WiMAX Channel Section The Stanford University Interim (SUI) channel model is used for our simulation to model our Rayleigh fading. In this model a set of sixchannels can be selected to address three different terrain types that are typical of the continental US [10]. This model can be used for simulations,design, development and testing of technologies suitable for fixed broadband wireless applications [9]. The parameters for the model were selected based upon some statistical models. The tables below depict the parametric view of the six SUI channels. Table 3:Terrain type for SUI channel Terrain Type SUI Channels C (Mostly flat terrain with light tree densities) SUI-1,SUI-2 B (Hilly terrain with light tree density or flat terrain with moderate to heavy tree density) SUI-3, SUI-4 A (Hilly terrain with moderate to heavy tree density) SUI-5, SUI-6 C. WiMAX Receiver Section At the Receiver section, the data received is first goes through PHY layer. In PHY layer the reveres process of transmitter occurs. The received data coming from channel is fed into the OFDM demodulation, which consist of removal of CP, Fast Fourier Transform (256 FFT) and disassemble OFDM frame. To convert received data from time domain to frequency domain, the FFT is used. It is needed because the decoding processes arework on frequency domain based signal. Guard band which is added at the transmitter side is also removed at this point. Then, the data is performed by de-mapper to convert the waveforms created at the modulation mapper to the original transformed bits and afterwards the demapped data enter the channel decoder. Channel decoder consists of de-interleaver, depuncture, Viterbi decoder and finally RS decoder. The deinterleaver consists of two blocks, a general block deinterleaver and a matrix deinterleaver. The general block deinterleaver rearranges the elements of its input according to an index vector. The matrix deinterleaver performs block deinterleaving by filling a matrix with the input symbols column by column, and then, sending its contents to the output row by row. Depuncturing the reverse process of puncturing. Zeros are used to fill the corresponding hollows of the stream in order to getthe same code rate as before performing the puncturing process. This depunctured bit stream is decoded by Viterbi algorithmand finally derandomized. III. Results and Discussion The test was carried out on the WiMAX Simulation model. Each block of the simulation model was tested by a test vector. These vectors were generated in MATLAB. The performance was evaluated by transmitting the output OFDM symbols through the AWGN and Rayleigh fading (modeled using SUI-1) channels. 50 samples of 16-QAM signals were transmitted in each case according to Modulation and OFDM parameters as listed in Tables 1 and 2. The performance is displayed in in terms of the Bit Loss versus SNR. Figures 3 and 4 show the Bit Loss versus SNR at various constant signal power for 16QAMin AWGN and Rayleigh fading channels. It can be observed that the bit loss becomes zero at SNR =11dB, 13dB, 13dB,15dB and 15dB respectively at a constant signal power of 0.4, 0.6,0.8,1.0 and 1.2 watts in AWGN while in Rayleigh fading bit loss of zero was achieved at SNR=11dB, 13dB, 15dB,15dB and 15dB respectively at a constant signal power of 0.4, 0.6,0.8,1.0 and 1.2 watt. The Bit Loss at 0.4,0.6,1.0and 1.2 watt maintain almost the same SNR requirement for zero bit loss in Rayleigh channel as in AWGN channel except the bit loss at 0.8 watt which requires additional SNR of 2dB in Rayleigh channel. Figures 5 and 6 represent the Bit Loss versus Signal Power at various SNR respectively in AWGN and Rayleigh channels. It was observed that for a fixed SNR the Bit Loss generally increases as the signal power increases. This is expected as the noise will increase correspondingly. However, in AWGN channel SNR=16dB achieves practically zero bit loss. For a range of signal power 0.4 watt to 1.2 watt. The SNR=14dB achieves zero bit loss in range of 0.4 watt to 0.8 watt only, while at SNR=12dB zero bit loss was possible only in the range of
  • 4. Simulationof Wimax 802.16E Physical Layermodel www.iosrjournals.org 11 | Page 0.4dB to 0.5dB. Zero bit loss was not possible for SNR=8dB and SNR=4dB at 0.4 watt. In Rayleigh channel zero bit loss was achievable for both SNR=14dB and SNR=16dB in the range up to 0.8 watts only. It is interesting to note also that SNR curves show increase in slope for SNR=12,14,16dB curvesbut decrease in slope for SNR=4 ,8dB curves all at signal power 0.8 wattwhether in the AWGN channel or Rayleigh channel. Fig. 3: Bit Loss versus SNR with 16QAM in AWGN channel Fig. 4: Bit Loss versus SNR with 16QAM in Rayleigh fading channel Fig. 5: Bit Loss versus Signal Power with 16-QAM in AWGN channel
  • 5. Simulationof Wimax 802.16E Physical Layermodel www.iosrjournals.org 12 | Page Fig. 6: Bit Loss versus Signal Power with 16-QAM in Rayleigh channel IV. Conclusion From the experimental results, figures and plots, it can be concluded that for a constant value of SNR, if we are decreasing the signal power then it implies that noise is also decreasing & therefore bit loss & packet losses are also reduced. These losses are almost zero for a very low value of signal power such as 0.4 watt & SNR greater than 15dB, but transmission will not be faithful practically with this much low power signals. Signal power at 0.8 watts appears to indicate a limit beyond which zero bit loss cannot be guaranteed. So we try to find the appropriate combination of SNR & signal power for which losses are zero & the packets are practically received with full authenticity. SNR =13dB & signal power = 0.6watt fulfill these needs, hence we can use this combination References [1] J. G. Andrews, A. Ghosh, R. Muhamed,“Introduction to Broadband Wireless, in Fundamentals of WiMAX: understanding broadband wireless networking”, Prentice Hall, 2007. [2] A. Roca,“Implementation ofWiMAX simulator in Simulink”, EngineeringInstitute-Vienna, February 2007. [3] IEEE Standard for Local and Metropolitan Area Networks Part 16,“Air Interface for Fixed broadband Wireless Access Systems”, IEEE Computer Society. [4] Hassan Yaghoobi,“Scalable OFDMA Physical Layer in IEEE 802.16 WirelessMAN”, Intel Communications Group, Intel Corporation. 2004. [5] M.A. Hasan,“Performance Evaluation of WiMAX/IEEE 802.16 OFDM Physical Layer”, Master of Science inTechnology, Espoo, June 2007. [6] LoutfiNuaymi,“WiMAX Technology For BroadbandWireless Access”, Jhonwilley publication, 2007. [7] Eduardo Flores Flores, Raul Aquino Santos, Victor Rangel Licea, Miguel A. Garcia-Ruiz,“MAC layer Mechanism for Wireless WiMAX Networks with Mesh Topology”, Electronics, Robotics and Automotive Mechanics Conference 2008. [8] Fan Wang, AmitavaGhosh, ChandySankaran, Philip J. Fleming, Frank Hsieh, Stanley J. Benes,“MobileWiMAX Systems: Performance and Evolution”, IEEE Communications Magazine, October 2008. [9] V. Erceg, K.V.S. Hari, M.S. Smith, D.S. Baum et al, “ Channel Models for FixedWireless Applications”, IEEE 802.16.3Task Group Contributions 2001, Feb. 01 [10] V. Erceget. al, “An empirically based path loss model for wireless channels insuburban environments,” IEEE JSAC, vol. 17, no. 7, July 1999, pp. 12051211.