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International Journal of Engineering Inventions
ISSN: 2278-7461, www.ijeijournal.com
Volume 1, Issue 3 (September 2012) PP: 06-11


          Bit Error Rate of Mobile Wimax (Phy) Under Different
          Communication Channels and Modulation Technique
                                         T.Manochandar1, R.Krithika2
   1
   Department of Electronics and Communication Engineering, VRS College of engineering and technology,
                                      Villupuram- 607 107.TamilNadu
   2
     Department of Electronics and Communication Engineering, E.S College of engineering and technology,
                                      Villupuram-605 602.TamilNadu



Abstract––Mobile Wimax is a broadband wireless solution that enables the convergence of mobile and fixed broadband
network, through a common wide area broadband radio access technology and flexible network architecture. The
Performance of mobile Wimax under varying channel is one of the interesting research interests. Most of the most
existing systems, based on performance and evaluation under channel condition are limited to AWGN, ITU etc in mobile
Wimax. In this paper the performance of mobile Wimax (PHY layer) under SUI channel models in addition to different
data rates and modulation techniques were analyzed. The simulation covers important performance parameters like Bit
Error Rate and Signal to Noise Ratio.

Keywords––Wimax, BER, SNR, BPSK, OFDMA

                                           I.          INTRODUCTION
           IEEE802.16e is a global broadband wireless access standard capable of delivering high data rates to fixed users as
well as portable and mobile ones over long distance [1].In mobile Wimax air interface adopts orthogonal frequency division
multiple access (OFDMA) for improved multi-path performance in non-line-of sight (NLOS) environment. Mobile Wimax
extends the OFDM PHY layer to support terminal mobility and multiple–access. The resulting technology is Scalable
OFDMA. Data streams to and from individual users are multiplexed to groups of sub channel on the downlink and uplink.
By adopting Scalable PHY architecture, mobile Wimax is able to support a wide range of bandwidths.
           The performance of the WiMAX (Worldwide Interoperability for Microwave Access) can be evaluated by using
the Stanford University Interim (SUI) channel models which has a set of six channels for terrain types [3].With different data
rates, coding schemes and modulation techniques.
           The mobile WiMAX standard builds on the principles of OFDM by adopting a Scalable OFDMA-based PHY
layer (SOFDMA) [4]. SOFDMA supports a wide range of operating bandwidths to flexibly address the need for various
spectrum allocation and application requirements.
The simulation done in the paper covers important performance such as Bit Error Rate and Signal to Noise Ratio.

                                  II.           WIMAX PHYSICAL LAYER
          This project deals with the performances of Bit Error Rate and Signal to Noise Ratio in mobile WiMAX physical
layer. The block diagram of the physical layer of mobile WiMAX diagram is given in Figure 1. The transferring of data or
receiving the data is done through the physical layer of WiMAX. So the uplink and the downlink of the message were done
on the physical layer of WiMAX. There are three levels in the physical layer of mobile WiMAX physical layer are
         Bit level processing
         OFDM symbol level processing
         Digital IF processing
          Each levels of physical layer of WiMAX consist of certain processes for transferring the data at uplink region and
receiving of data at downlink region consists of encoder, decoder, symbol mapper and randomizer etc., Every processes were
done in order to improve the performance of the mobility condition of mobile wimax. In this paper the performance was
analyzed by the signal to noise ratio and the bit error rate




                                                                                                                            6
Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication…

         .




                                  Figure: 1. Block Diagram of Wimax Physical Layer

                                  Table.1 Parameter of mobile wimax physical layer
                                Parameter              Value


                                FFT size                 128      512       1024   2048

                                Channel                  1.25     5         10     20
                                Bandwidth(MHz)



                                Subcarrier Frequency
                                spacing                  10.94
                                (KHz)




                                Useful Symbol Period
                                                         91.4


                                Guard Time               1/32,1/8,1/6,1/4



                                             III.         CHANNEL
          The medium between the transmitting antenna and the receiving antenna is said to be the channel. The profile of
received signal can be obtained from that of the transmitted signal, if we have a model of the medium between the two. The
model of the medium is called channel model.
                                                                                                                        7
Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication…

                                                Y (f) =X (f) H (f) +n (f)

Where,
          Y (f) ->output signal
          H (f) ->channel response
          X (f) ->input signal

A. Stanford University Interim (SUI) Channel Models:
          It is a set of six channel models representing three terrain types and a variety of Doppler spreads, delay spread and
mainly the line-of-sight/non-line-of-site conditions that are typical of the continental. The terrain type      A, B, C is same
as those defined in Erceg model [10]. The multipath fading is modeled as a tapped delay line with 3 taps with non-uniform
delays. The gain associated with each tap is characterized by a Rician Distribution and the maximum Doppler frequency.
          In a multipath environment, the received power r has a Rician distribution, whose Pdf is given by:


                                        Pdf(r)=r/σ2e(-r2/2σ2)          0≤r≤∞



A is zero if there is no LOS component and the pdf of the power becomes


                                  Pdf(r)=r/σ2e[-frac2+A2σ2]Io(rA/σ2) 0 ≤ r ≤ ∞


          This is also known as Raleigh distribution.
 The ratio K=A2/ (2σ2) in the Rician case represents the ratio of LOS component to NLOS component and is called the "K-
Factor" or "Rician Factor."
          The general structure for the SUI channel model is as shown below in figure. This structure is for Multiple Input
Multiple Output (MIMO) channels and includes other configurations like Single Input Single Output (SISO) and Single
Input Multiple Output (SIMO) as subsets.




                                                                Tapped            Output
                                                                Delay             Mixing
                                          Input
                                                                 Line             Matrix
                                          Mixing                Matrix
                                          Matrix

                                                Figure 2.SUI Channel Model

           Power Distribution For each tap a set of complex zero-mean Gaussian distributed numbers is generated with a
variance of 0.5 for the real and imaginary part, so that the total average power of this distribution is 1. This yields a
normalized Rayleigh distribution (equivalent to Rice with K=0) for the magnitude of the complex coefficients. If a Rician
distribution (K>0 implied) is needed, a constant path component m is added to the Rayleigh set of coefficients. The ratio of
powers between this constant part and the Rayleigh (variable) part is specified by the K-factor. For this general case, we
show how to distribute the power correctly by first stating the total power P of each tap:
                                                           P=|m2|+σ2

Where m is the complex constant and σ2 the variance of the complex Gaussian set. Second, the ratio of powers is K=m2/|σ2|.

                            Table 2: Terrain type and Doppler spread for SUI channel model
                               Channel       Terrain    Doppler      Spread      LOS
                                             Type       spread
                                SUI-1          C                Low        Low         High
                                SUI-2          C                Low        Low         High
                                SUI-3          B                Low        Low         Low
                                SUI-4          B                High       Moderate    Low
                                SUI-5          A                Low        High        Low
                                SUI-6          A                High       High        High

                                                                                                                             8
Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication…

           In the SUI channel model, parameter for the SUI 1 and SUI 2 channel model has been tabulated in 3 and 4
respectively for the reference. BER performance is evaluated in this channel models. Depending on the performance
parameter for the SUI channel, the performances of wimax physical layer are evaluated through the performance graph.




          .




           For a 300 antenna beam width, 2.3 times smaller RMS delay spread is used when compared to an omnidirectional
antenna RMS delay spread. Consequently, the 2nd tap power is attenuated additional 6 dB and the 3rd tap power is
attenuated additional 12 dB (effect of antenna pattern, delays remain the same). The simulation results for all the six
channels are evaluated. The above experiments are done using the simulation in Matlab communication tool box.

                                  IV.          SIMULATION RESULTS
      The output for the performance of mobile WiMAX was estimated by the BER and the SNR plot using the
MATLAB coding with BPSK modulation. The bandwidth used in the experiment was 3.5 MHz




                                                                                                                     9
Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication…




                                      Figure3.BER curve for BPSK modulation

          The output for the performance of mobile WiMAX was estimated by the Bit Error Rate and the Signal to Noise
Ratio plot using the MATLAB coding with Quadrature Phase Shift Keying modulation technique is given below in figure 4.




                                         Figure 4. BER curve for QPSK modulation

      The output for the performance of mobile WiMAX was estimated by the BER and the SNR plot using the
MATLAB coding with 16QAM modulation. It is illustrated in the figure5.




                                     Figure5. BER curve for 16QAM modulation
                                                                                                                   10
Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication…

      The output for the performance of mobile Wimax was estimated by the BER and the SNR plot using the
MATLAB coding with 64QAM modulation and graphical illustration done as in figure 6.




                                      Figure6. BER curve for 64QAM modulation

                                          V.           CONCLUSION
          In this paper, the performance of mobile WIMAX physical layer for OFDMA on different channel condition
assisted by Mobile IP(Internet protocol) for mobility management was analyzed. The analysis demonstrated that the
modulation and coding rate had a greater impact on the relative performance between the different SUI channel conditions.
The performance was analyzed under SUI channel models with different modulation techniques for mobility management. It
is found from the performance graphs that SUI channel 5 and 6 performs better than the conventional ones.

                                                  REFERENCES
 1.      IEEE 2010 Omar Arafat,K.Dimyati, a study of physical layer of Mobile WiMax under different communication
         channels & modulation technique.
 2.      [2]IEEE std 802.16 Etm-2004”Part 16:Air Interface for fixed and mobile broadband wireless Access system,”Feb
         2004.
 3.      Md.ZahidHasan,Md.AshrafulIslam, Comparative Study of Different Guard Time Intervals to Improve the BER
         Performance of WiMAX Systems to Minimize the Effects of ISI and ICI under Adaptive Modulation Techniques
         over SUI-1 and AWGN Communication Channels, (IJCSIS) International Journal of Computer Science and
         Information Security,Vol. 6, No.2, 2009.
 4.      IEEE 802.16 Broadband Wireless Access Working Group Simulating the SUI Channel Models Li-Chun Wang
         Department of Communications Engineering National Chiao Tung University Hsinchu,Taiwan.
 5.      Mai Tran, G Zaggaoulos and A .Nix” Mobile WiMAX MIMO performance Analysis: Downlink and Uplink”,
         PIMRC 2008.
 6.      J.G.Andews, A.Ghoshand R.Muhamed,” Fundamentals of WiMAX Understanding broadband Wireless Networks,
         “Prentice Hall, Feb 2007.
 7.      RajJain,@aum.org,”ChannelModelaTutorial”, feb21,2007 submitted to wimax forum at aum.
 8.      M.S. Smith and C. Tappenden, “Additional enhancements to interim channel models for G2 MMDS fixed wireless
         applications,” IEEE 802.16.3c-00/53
 9.      M.S.Smith, J.E.J. Dalley, “A new methodology for deriving path loss models from cellular drive test data”,
         Proc.AP2000 Conference, Davos, Switzerland, April 2000.
10.      V. Erceget.al, “A model for the multipath delay profile of fixed wireless channels,” IEEE JSAC, vol. 17, no.3,
         March 1999, pp. 399-410.
11.      L.J.Greenstein, V. Erceg, Y.S. Yeh, and M.V. Clark, “A new path-gain/delay-spread propagation model for digital
         cellular channels,” IEEE Trans. Veh. Technol., vol. 46, no. 2, May 1997.
12.      J.W. Porter and J.A. Thweatt, “Microwave propagation characteristics in the MMDS frequency band,” ICC’2000
         Conference Proceedings, pp. 1578-1582.
13.      L.J. Greenstein, S. Ghassemzadeh, V.Erceg, and D.G. Michelson, “Ricean K-factors in narrowband fixed wireless
         channels: Theory, experiments, and statistical models,” WPMC’99 Conference Proceedings, Amsterdam,
         September 1999.




                                                                                                                      11

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  • 1. International Journal of Engineering Inventions ISSN: 2278-7461, www.ijeijournal.com Volume 1, Issue 3 (September 2012) PP: 06-11 Bit Error Rate of Mobile Wimax (Phy) Under Different Communication Channels and Modulation Technique T.Manochandar1, R.Krithika2 1 Department of Electronics and Communication Engineering, VRS College of engineering and technology, Villupuram- 607 107.TamilNadu 2 Department of Electronics and Communication Engineering, E.S College of engineering and technology, Villupuram-605 602.TamilNadu Abstract––Mobile Wimax is a broadband wireless solution that enables the convergence of mobile and fixed broadband network, through a common wide area broadband radio access technology and flexible network architecture. The Performance of mobile Wimax under varying channel is one of the interesting research interests. Most of the most existing systems, based on performance and evaluation under channel condition are limited to AWGN, ITU etc in mobile Wimax. In this paper the performance of mobile Wimax (PHY layer) under SUI channel models in addition to different data rates and modulation techniques were analyzed. The simulation covers important performance parameters like Bit Error Rate and Signal to Noise Ratio. Keywords––Wimax, BER, SNR, BPSK, OFDMA I. INTRODUCTION IEEE802.16e is a global broadband wireless access standard capable of delivering high data rates to fixed users as well as portable and mobile ones over long distance [1].In mobile Wimax air interface adopts orthogonal frequency division multiple access (OFDMA) for improved multi-path performance in non-line-of sight (NLOS) environment. Mobile Wimax extends the OFDM PHY layer to support terminal mobility and multiple–access. The resulting technology is Scalable OFDMA. Data streams to and from individual users are multiplexed to groups of sub channel on the downlink and uplink. By adopting Scalable PHY architecture, mobile Wimax is able to support a wide range of bandwidths. The performance of the WiMAX (Worldwide Interoperability for Microwave Access) can be evaluated by using the Stanford University Interim (SUI) channel models which has a set of six channels for terrain types [3].With different data rates, coding schemes and modulation techniques. The mobile WiMAX standard builds on the principles of OFDM by adopting a Scalable OFDMA-based PHY layer (SOFDMA) [4]. SOFDMA supports a wide range of operating bandwidths to flexibly address the need for various spectrum allocation and application requirements. The simulation done in the paper covers important performance such as Bit Error Rate and Signal to Noise Ratio. II. WIMAX PHYSICAL LAYER This project deals with the performances of Bit Error Rate and Signal to Noise Ratio in mobile WiMAX physical layer. The block diagram of the physical layer of mobile WiMAX diagram is given in Figure 1. The transferring of data or receiving the data is done through the physical layer of WiMAX. So the uplink and the downlink of the message were done on the physical layer of WiMAX. There are three levels in the physical layer of mobile WiMAX physical layer are  Bit level processing  OFDM symbol level processing  Digital IF processing Each levels of physical layer of WiMAX consist of certain processes for transferring the data at uplink region and receiving of data at downlink region consists of encoder, decoder, symbol mapper and randomizer etc., Every processes were done in order to improve the performance of the mobility condition of mobile wimax. In this paper the performance was analyzed by the signal to noise ratio and the bit error rate 6
  • 2. Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication… . Figure: 1. Block Diagram of Wimax Physical Layer Table.1 Parameter of mobile wimax physical layer Parameter Value FFT size 128 512 1024 2048 Channel 1.25 5 10 20 Bandwidth(MHz) Subcarrier Frequency spacing 10.94 (KHz) Useful Symbol Period 91.4 Guard Time 1/32,1/8,1/6,1/4 III. CHANNEL The medium between the transmitting antenna and the receiving antenna is said to be the channel. The profile of received signal can be obtained from that of the transmitted signal, if we have a model of the medium between the two. The model of the medium is called channel model. 7
  • 3. Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication… Y (f) =X (f) H (f) +n (f) Where, Y (f) ->output signal H (f) ->channel response X (f) ->input signal A. Stanford University Interim (SUI) Channel Models: It is a set of six channel models representing three terrain types and a variety of Doppler spreads, delay spread and mainly the line-of-sight/non-line-of-site conditions that are typical of the continental. The terrain type A, B, C is same as those defined in Erceg model [10]. The multipath fading is modeled as a tapped delay line with 3 taps with non-uniform delays. The gain associated with each tap is characterized by a Rician Distribution and the maximum Doppler frequency. In a multipath environment, the received power r has a Rician distribution, whose Pdf is given by: Pdf(r)=r/σ2e(-r2/2σ2) 0≤r≤∞ A is zero if there is no LOS component and the pdf of the power becomes Pdf(r)=r/σ2e[-frac2+A2σ2]Io(rA/σ2) 0 ≤ r ≤ ∞ This is also known as Raleigh distribution. The ratio K=A2/ (2σ2) in the Rician case represents the ratio of LOS component to NLOS component and is called the "K- Factor" or "Rician Factor." The general structure for the SUI channel model is as shown below in figure. This structure is for Multiple Input Multiple Output (MIMO) channels and includes other configurations like Single Input Single Output (SISO) and Single Input Multiple Output (SIMO) as subsets. Tapped Output Delay Mixing Input Line Matrix Mixing Matrix Matrix Figure 2.SUI Channel Model Power Distribution For each tap a set of complex zero-mean Gaussian distributed numbers is generated with a variance of 0.5 for the real and imaginary part, so that the total average power of this distribution is 1. This yields a normalized Rayleigh distribution (equivalent to Rice with K=0) for the magnitude of the complex coefficients. If a Rician distribution (K>0 implied) is needed, a constant path component m is added to the Rayleigh set of coefficients. The ratio of powers between this constant part and the Rayleigh (variable) part is specified by the K-factor. For this general case, we show how to distribute the power correctly by first stating the total power P of each tap: P=|m2|+σ2 Where m is the complex constant and σ2 the variance of the complex Gaussian set. Second, the ratio of powers is K=m2/|σ2|. Table 2: Terrain type and Doppler spread for SUI channel model Channel Terrain Doppler Spread LOS Type spread SUI-1 C Low Low High SUI-2 C Low Low High SUI-3 B Low Low Low SUI-4 B High Moderate Low SUI-5 A Low High Low SUI-6 A High High High 8
  • 4. Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication… In the SUI channel model, parameter for the SUI 1 and SUI 2 channel model has been tabulated in 3 and 4 respectively for the reference. BER performance is evaluated in this channel models. Depending on the performance parameter for the SUI channel, the performances of wimax physical layer are evaluated through the performance graph. . For a 300 antenna beam width, 2.3 times smaller RMS delay spread is used when compared to an omnidirectional antenna RMS delay spread. Consequently, the 2nd tap power is attenuated additional 6 dB and the 3rd tap power is attenuated additional 12 dB (effect of antenna pattern, delays remain the same). The simulation results for all the six channels are evaluated. The above experiments are done using the simulation in Matlab communication tool box. IV. SIMULATION RESULTS The output for the performance of mobile WiMAX was estimated by the BER and the SNR plot using the MATLAB coding with BPSK modulation. The bandwidth used in the experiment was 3.5 MHz 9
  • 5. Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication… Figure3.BER curve for BPSK modulation The output for the performance of mobile WiMAX was estimated by the Bit Error Rate and the Signal to Noise Ratio plot using the MATLAB coding with Quadrature Phase Shift Keying modulation technique is given below in figure 4. Figure 4. BER curve for QPSK modulation The output for the performance of mobile WiMAX was estimated by the BER and the SNR plot using the MATLAB coding with 16QAM modulation. It is illustrated in the figure5. Figure5. BER curve for 16QAM modulation 10
  • 6. Bit Error Rate Of Mobile Wimax (Phy) Under Different Communication… The output for the performance of mobile Wimax was estimated by the BER and the SNR plot using the MATLAB coding with 64QAM modulation and graphical illustration done as in figure 6. Figure6. BER curve for 64QAM modulation V. CONCLUSION In this paper, the performance of mobile WIMAX physical layer for OFDMA on different channel condition assisted by Mobile IP(Internet protocol) for mobility management was analyzed. The analysis demonstrated that the modulation and coding rate had a greater impact on the relative performance between the different SUI channel conditions. The performance was analyzed under SUI channel models with different modulation techniques for mobility management. It is found from the performance graphs that SUI channel 5 and 6 performs better than the conventional ones. REFERENCES 1. IEEE 2010 Omar Arafat,K.Dimyati, a study of physical layer of Mobile WiMax under different communication channels & modulation technique. 2. [2]IEEE std 802.16 Etm-2004”Part 16:Air Interface for fixed and mobile broadband wireless Access system,”Feb 2004. 3. Md.ZahidHasan,Md.AshrafulIslam, Comparative Study of Different Guard Time Intervals to Improve the BER Performance of WiMAX Systems to Minimize the Effects of ISI and ICI under Adaptive Modulation Techniques over SUI-1 and AWGN Communication Channels, (IJCSIS) International Journal of Computer Science and Information Security,Vol. 6, No.2, 2009. 4. IEEE 802.16 Broadband Wireless Access Working Group Simulating the SUI Channel Models Li-Chun Wang Department of Communications Engineering National Chiao Tung University Hsinchu,Taiwan. 5. Mai Tran, G Zaggaoulos and A .Nix” Mobile WiMAX MIMO performance Analysis: Downlink and Uplink”, PIMRC 2008. 6. J.G.Andews, A.Ghoshand R.Muhamed,” Fundamentals of WiMAX Understanding broadband Wireless Networks, “Prentice Hall, Feb 2007. 7. RajJain,@aum.org,”ChannelModelaTutorial”, feb21,2007 submitted to wimax forum at aum. 8. M.S. Smith and C. Tappenden, “Additional enhancements to interim channel models for G2 MMDS fixed wireless applications,” IEEE 802.16.3c-00/53 9. M.S.Smith, J.E.J. Dalley, “A new methodology for deriving path loss models from cellular drive test data”, Proc.AP2000 Conference, Davos, Switzerland, April 2000. 10. V. Erceget.al, “A model for the multipath delay profile of fixed wireless channels,” IEEE JSAC, vol. 17, no.3, March 1999, pp. 399-410. 11. L.J.Greenstein, V. Erceg, Y.S. Yeh, and M.V. Clark, “A new path-gain/delay-spread propagation model for digital cellular channels,” IEEE Trans. Veh. Technol., vol. 46, no. 2, May 1997. 12. J.W. Porter and J.A. Thweatt, “Microwave propagation characteristics in the MMDS frequency band,” ICC’2000 Conference Proceedings, pp. 1578-1582. 13. L.J. Greenstein, S. Ghassemzadeh, V.Erceg, and D.G. Michelson, “Ricean K-factors in narrowband fixed wireless channels: Theory, experiments, and statistical models,” WPMC’99 Conference Proceedings, Amsterdam, September 1999. 11