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P. Pratihar et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1038-1039

www.ijera.com

RESEARCH ARTICLE

OPEN ACCESS

Performance Evaluation of WIMAX System Using QPSK
Simulation and Rayleigh (NLOS) Multipath with Added AWGN
Joydev Ghosh1, Abhishek Dey2, Somnath Yadav3
1

The New Horizons Institute of Technology, Research and Development Lab. Durgapur, W.B, India
Bengal College of Engineering and Technology, Electronics and Comm. Engg. Dept. Durgapur, W.B, India
3
The New Horizons Institute of Technology, Research and Development Lab. Durgapur, W.B, India
2

Abstract
In modern world, wireless communication systems are involved in every part of life. WiMAX is the upcoming
wireless system which uses IEEE standard 802.16.By using WiMAX technology we can overcome the
limitations of the existing wireless communication like short coverage area, lack of security and low data rate.
In my thesis, initially I analyzed the basic concept of WiMAX. Then we have work on the improvement BER at
different SNR of WIMAX system using MATLAB simulation.
Keywords-Wimax; QPSK; NLOS; AWGN.

Introduction

1) Fixed WiMax: - Fixed WiMax supports fixed and
nomadic applications. This is operating in frequency
band of 2 GHz to11GHz and provides the transmission
rate upto 75 Mbps for the distance of approximately 30
miles (50 kms). In this type of WiMax a Single-Carrier
(SC) modulation technique is used.
2) Mobile WiMax:-Mobile WiMax (IEEE 802.16e2005) supports fixed, nomadic, mobile and portable
applications. This is operating in frequency band of 2
GHz to 6 GHz and provides the data rate up to 75
Mbps over a distance of approximately 10 miles
(15kms). In mobile WiMax, Multi-carrier modulation

www.ijera.com

technique
(Orthogonal
Frequency
Multiplexing) is used at physical layer.

II.

Division

Simulation Analysis
QPSK constellation

2
1.5
1
0.5
imag

I.

WiMAX, the Worldwide Interoperability for
Microwave Access, is a telecommunications
technology aimed at providing wireless data over long
distances in a variety of ways, from point-to-point
links to full mobile cellular type access. It is a wireless
digital communications system that is intended for
wireless "metropolitan area networks". Existing “Area
Networks” for wireless communications:
•Personal (PAN), up to a few meters. It requires
simple “thumb like” transmitters’ receivers.
Typical: Bluetooth.
•Local (LAN), up to 300m. It requires simple “box
like” devices. Typical: Wi-Fi (IEEE802.11)
•Wide (WAN), up to a few miles. It requires towers
and cellular technology. Typical: W-CDMA, CDMA
2000, UMTS …
IEEE 802.16 (WiMax) are possible future technologies
for WAN.
The IEEE has divided the WiMax system into two
groups.
1) Fixed WiMax (IEEE 802.16d-2004)
2) Mobile WiMax (IEEE 802.16e-2005)

0
-0.5
-1
-1.5
-2
-2

-1.5

-1

-0.5

0
real

0.5

1

1.5

2

Fig.1 QPSK constellation
The purpose of this m-file is to show a
baseband simulated version of QPSK with Gray coding
(Rayleigh multipath and AWGN added) which may
give valid results (still trying to figure out if this
program is correct-multipath so subjective) .when
compared to theoritical/simulated AWGN QPSK
analysis SER and BER.The simulation assumes a
single channel (no diversity or FEC codes other than
Gray) perfect system with perfect synchronization and
no intersymbol interference. The program contains no
Root Raised Cosine or Raised Cosine filters as they
would just add delay.

1038 | P a g e
P. Pratihar et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1038-1039

www.ijera.com

performed using MATLAB R2010a on an Intel(R)
core(TM) i3 CPU M370 @2.40 GHz processor using
Windows 7 home basic operating system.
Input:
b = bits {0, 1} to be mapped into QPSK symbols
Output:
d = complex-valued QPSK symbols
0.70711 +
0.70711i, etc

IV.
Fig.2 Simulation of BER/SER for QPSK with gray
coding(Raleigh multipath and AWGN)
I hope it will be useful to others to play with
and give a basic understanding of the problems
encountered in the channel with various types of
multipath. What this all proves is that you need at
least 17 dB of fade margin at 10-3 BER with Rayleigh
multipath when comparing only with AWGN at SNR
of 7 to 8dB .

References
[1]
[2]

[3]

[4]
Fig.3 QPSK symbol
Of course we can lower this with antenna
diversity, FEC codes etc. The resulting QPSK symbol
is complex-valued, where one of the two bits in each
QPSK symbol affects the real part (I channel) of the
symbol and the other bit the imaginary part (Q
channel).

[5]

[6]
[7]

[8]
[9]
Fig.4 Rayleigh fading envelope (vari-ance=0.5)
Each part is subsequently modulated to form the
complex-valued QPSK symbol.

III.

Simulation Result

Conclusion

The range and the Non Line of Sight (NLOS)
ability of WIMAX make the system very attractive for
users, but there will be slightly higher BER at low
SNR.WIMAX defines a selectable channel bandwidth
from 1.25 MHz to 20 MHz. In this paper, we have
studied the improvement BER at different SNR of
WIMAX system

[10]

PROAKIS, Digital Communications 4th ed.
(chapter 14)14.4.2 Fading Multiphase Signals.
B. Chaitanya , T.S. Prasad, K. Sruthi, T.
Tejaswi, ”Adaptive Modulation Techniques
for WIMAX," (IJCNS) International Journal
of Computer and Network Security, Vol. 2,
No. 5, May 2010 .
J. El-Najjar,B. Jaumard,C. Assi, "Minimizing
Interference in WiMax/802.16 Based Mesh
Networks with Centralized Scheduling"
Global Telecommunications Conference,
2008. IEEE GLOBECOM 2008. IEEE, ISBN:
978-1-4244-2324-8, pp. 1 – 6, Dec. 2008 .
G. A. Jubair, M. I. Hasan, Md. Obaid Ullah,
“Performance Evaluation of IEEE 802.16e
(Mobile WiMAX) in OFDM Physical Layer”
. ING/School of Engineering, 2009, pp. 93.
A. Yarali, A. Mbula, A. Tumula, " WiMAX:
A key to bridging the digital divide"
Southeast Con, 2007. Proceedings. IEEE,
ISBN: 1-4244-1028-2, pp. 159 – 164, March
2007 .
Mathworks,
Communications
Toolbox,
Fading Channels .
8. Salmon, B. P. and J. C. Olivier,
“Performance analysis of low density paritycheck codes on a WiMAX platform,”IEEE
Wireless Communications and Networking
Conference,WCNC’07, 2007.
Zhang, L. and S. Yu, “Turbo codes for 10–66
GHz WIMAX.
Andrews, J., A. Ghosh, and R. Muhamed,
Fundamentals of WIMAX: Understanding
Broadband Wireless Networking, Prentic Hall
Communication Engineering and Emerging
Series, February 2007.
IEEE Std 802.162001,” IEEE Std.
802.162001 IEEE Standard for Local and
Metropolitan area networks

Each part is subsequently modulated to form
the complex-valued QPSK symbol. This simulation is
www.ijera.com

1039 | P a g e

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Fw3510381039

  • 1. P. Pratihar et al Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1038-1039 www.ijera.com RESEARCH ARTICLE OPEN ACCESS Performance Evaluation of WIMAX System Using QPSK Simulation and Rayleigh (NLOS) Multipath with Added AWGN Joydev Ghosh1, Abhishek Dey2, Somnath Yadav3 1 The New Horizons Institute of Technology, Research and Development Lab. Durgapur, W.B, India Bengal College of Engineering and Technology, Electronics and Comm. Engg. Dept. Durgapur, W.B, India 3 The New Horizons Institute of Technology, Research and Development Lab. Durgapur, W.B, India 2 Abstract In modern world, wireless communication systems are involved in every part of life. WiMAX is the upcoming wireless system which uses IEEE standard 802.16.By using WiMAX technology we can overcome the limitations of the existing wireless communication like short coverage area, lack of security and low data rate. In my thesis, initially I analyzed the basic concept of WiMAX. Then we have work on the improvement BER at different SNR of WIMAX system using MATLAB simulation. Keywords-Wimax; QPSK; NLOS; AWGN. Introduction 1) Fixed WiMax: - Fixed WiMax supports fixed and nomadic applications. This is operating in frequency band of 2 GHz to11GHz and provides the transmission rate upto 75 Mbps for the distance of approximately 30 miles (50 kms). In this type of WiMax a Single-Carrier (SC) modulation technique is used. 2) Mobile WiMax:-Mobile WiMax (IEEE 802.16e2005) supports fixed, nomadic, mobile and portable applications. This is operating in frequency band of 2 GHz to 6 GHz and provides the data rate up to 75 Mbps over a distance of approximately 10 miles (15kms). In mobile WiMax, Multi-carrier modulation www.ijera.com technique (Orthogonal Frequency Multiplexing) is used at physical layer. II. Division Simulation Analysis QPSK constellation 2 1.5 1 0.5 imag I. WiMAX, the Worldwide Interoperability for Microwave Access, is a telecommunications technology aimed at providing wireless data over long distances in a variety of ways, from point-to-point links to full mobile cellular type access. It is a wireless digital communications system that is intended for wireless "metropolitan area networks". Existing “Area Networks” for wireless communications: •Personal (PAN), up to a few meters. It requires simple “thumb like” transmitters’ receivers. Typical: Bluetooth. •Local (LAN), up to 300m. It requires simple “box like” devices. Typical: Wi-Fi (IEEE802.11) •Wide (WAN), up to a few miles. It requires towers and cellular technology. Typical: W-CDMA, CDMA 2000, UMTS … IEEE 802.16 (WiMax) are possible future technologies for WAN. The IEEE has divided the WiMax system into two groups. 1) Fixed WiMax (IEEE 802.16d-2004) 2) Mobile WiMax (IEEE 802.16e-2005) 0 -0.5 -1 -1.5 -2 -2 -1.5 -1 -0.5 0 real 0.5 1 1.5 2 Fig.1 QPSK constellation The purpose of this m-file is to show a baseband simulated version of QPSK with Gray coding (Rayleigh multipath and AWGN added) which may give valid results (still trying to figure out if this program is correct-multipath so subjective) .when compared to theoritical/simulated AWGN QPSK analysis SER and BER.The simulation assumes a single channel (no diversity or FEC codes other than Gray) perfect system with perfect synchronization and no intersymbol interference. The program contains no Root Raised Cosine or Raised Cosine filters as they would just add delay. 1038 | P a g e
  • 2. P. Pratihar et al Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1038-1039 www.ijera.com performed using MATLAB R2010a on an Intel(R) core(TM) i3 CPU M370 @2.40 GHz processor using Windows 7 home basic operating system. Input: b = bits {0, 1} to be mapped into QPSK symbols Output: d = complex-valued QPSK symbols 0.70711 + 0.70711i, etc IV. Fig.2 Simulation of BER/SER for QPSK with gray coding(Raleigh multipath and AWGN) I hope it will be useful to others to play with and give a basic understanding of the problems encountered in the channel with various types of multipath. What this all proves is that you need at least 17 dB of fade margin at 10-3 BER with Rayleigh multipath when comparing only with AWGN at SNR of 7 to 8dB . References [1] [2] [3] [4] Fig.3 QPSK symbol Of course we can lower this with antenna diversity, FEC codes etc. The resulting QPSK symbol is complex-valued, where one of the two bits in each QPSK symbol affects the real part (I channel) of the symbol and the other bit the imaginary part (Q channel). [5] [6] [7] [8] [9] Fig.4 Rayleigh fading envelope (vari-ance=0.5) Each part is subsequently modulated to form the complex-valued QPSK symbol. III. Simulation Result Conclusion The range and the Non Line of Sight (NLOS) ability of WIMAX make the system very attractive for users, but there will be slightly higher BER at low SNR.WIMAX defines a selectable channel bandwidth from 1.25 MHz to 20 MHz. In this paper, we have studied the improvement BER at different SNR of WIMAX system [10] PROAKIS, Digital Communications 4th ed. (chapter 14)14.4.2 Fading Multiphase Signals. B. Chaitanya , T.S. Prasad, K. Sruthi, T. Tejaswi, ”Adaptive Modulation Techniques for WIMAX," (IJCNS) International Journal of Computer and Network Security, Vol. 2, No. 5, May 2010 . J. El-Najjar,B. Jaumard,C. Assi, "Minimizing Interference in WiMax/802.16 Based Mesh Networks with Centralized Scheduling" Global Telecommunications Conference, 2008. IEEE GLOBECOM 2008. IEEE, ISBN: 978-1-4244-2324-8, pp. 1 – 6, Dec. 2008 . G. A. Jubair, M. I. Hasan, Md. Obaid Ullah, “Performance Evaluation of IEEE 802.16e (Mobile WiMAX) in OFDM Physical Layer” . ING/School of Engineering, 2009, pp. 93. A. Yarali, A. Mbula, A. Tumula, " WiMAX: A key to bridging the digital divide" Southeast Con, 2007. Proceedings. IEEE, ISBN: 1-4244-1028-2, pp. 159 – 164, March 2007 . Mathworks, Communications Toolbox, Fading Channels . 8. Salmon, B. P. and J. C. Olivier, “Performance analysis of low density paritycheck codes on a WiMAX platform,”IEEE Wireless Communications and Networking Conference,WCNC’07, 2007. Zhang, L. and S. Yu, “Turbo codes for 10–66 GHz WIMAX. Andrews, J., A. Ghosh, and R. Muhamed, Fundamentals of WIMAX: Understanding Broadband Wireless Networking, Prentic Hall Communication Engineering and Emerging Series, February 2007. IEEE Std 802.162001,” IEEE Std. 802.162001 IEEE Standard for Local and Metropolitan area networks Each part is subsequently modulated to form the complex-valued QPSK symbol. This simulation is www.ijera.com 1039 | P a g e