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B.vinodh kumar et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1423-1425
RESEARCH ARTICLE

www.ijera.com

OPEN ACCESS

Performance Analysis of MC-CDMA Based Fixed Wimax
Technology By RS Encoder For Different Modulation
B.vinodh kumar1, Arulpugazhendhi.M2, A.Arul3,
1,3

PG Student, 2Assistant Professor,IFET College of Engineering,Villupuram

Abstract–
WIMAX(worldwide interoperability for microwave access) is next generation high speed wireless technology
provides long distance transmission .Generaly WIMAX is OFDM based architecture standardised by IEEE
802.16.Our aim to analyse the performance of Wimax in MC-CDMA(multi carrier code division multiple
access) for RS encoder under various modulation techniques.The performance is tested in matlab simulation.The
simulation results shows significant performance improvement in MC-CDMA over OFDM and the comparism
is based on BER performance under various modulation scheme for Reed solomon encoder.It is shown that
wimax based MC-CDMA outperforms OFDM techniques.
Index terms - Wimax, RS encoder,OFDMA,MC-CDMA,BER

I.

INTRODUCTION

WiMAX is similar to Wi-Fi but at very fast
speeds provide long distance transmission.Wimax is
further divided into types – fixed wimax and mobile
wimax.Physical structure of fixed station and mobile
station. Wimax standard is defined in IEEE 802.16.
Wi-Fi typically provides local area network access
covers a few hundred feet with speeds of upto 64
Mbps, a single WiMAX transceiver is expected to
have a wide range of area that fixed wimax can
provide internet service over 60 Km distance with a
speed of 1 Gbps high data rate at motionless
condition where 100 Mbps under vehicular condition.
WiMAX uses Orthogonal frequency division multiple
access (OFDM) as a multiple access technique.
The general objective of the next generation of
wireless technologies will be multimedia services
such as audio, video, internet services at high very
high speed with high mobility, high capacity and high
Quality of services.There are many techniques to
fulfill this requirement.One of the most promising
technique nowaday is OFDMA.OFDM is to split the
signal bandwidth into a large number of multi
subcarriers so that it can support high data rate
transmission over frequency selective channel and
intersymbol interference can be reduced by symbol
interval.
A difference of OFDM is Multi-Carrier Code
Division Multiple Access (MC-CDMA) which is an
OFDM technique where the individual data symbols
are spread using a spreading code in the frequency
domain. The spreading code connected with MCCDMA provides multi access technique as well as
interference suppression.In recent years, MC-CDMA
is considered as one of the promising modulation
technique for 4G. Its advantages are based on the
combination of OFDM with CDMA.CDMA provides
multiple access capability.The principle of multiwww.ijera.com

carrier transmission is to convert a serial high rate
data into multiple parallel low rate sub data. Since the
symbol rate on each sub-carrier is much small than
the initial serial data symbol rate so that the effects of
ISI significantly decrease.
In this paper, Reed Solomon encoder is
choosen as a platform for analyzing purpose .The rest
of this paper is organized as follows. In Section II,
block diagram of MC-CDMA is briefly described. In
Section III, reed solomon encoder. In Section IV, the
effectiveness of the proposed scheme is evaluated
with simulation . In Section VI, the conclusions are
given and performance is analyzed

Fig 1. Wimax transmission

II.

MC-CDMA BASED WIMAX

In transmitter,random discrete data is
generated with a stream of input data bits. These
discrete data are encoded , mapped and optionally
interleaved. The modulated symbols and the
corresponding pilot symbols are multiplexed to form
a frame . The resulting symbols after framing are
multiplexed and multicarrier technique . The
1423 | P a g e
B.vinodh kumar et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1423-1425
Data in

RS
encoder

Mapping

Spreading

IFFT

ADD CP

www.ijera.com

RF UP
CONVERTER

Multipath
fading
channel

Data out

RS
decoder

Demapping

Despreading

FFT

REMOVE
CP

RF DOWN
CONVERTER

Fig 2. Block Diagram of Wimax for MC-CDMA
modulated signal is passed through inverese fast
fourier transform(IFFT) that convert signal from
frequency into time domain.Finally after cyclic prefix
,signal is forwarded to the high power amplifier
through a physical interface with digital-to-analog
(D/A) conversion.
The reception operation starts with
receiving an analog signal from the high power
amplifier trough SUI wireless channel The analog-todigital converter (A/D) converts the analog signal to
the digital signal. In receiver side , cyclic prefix is
removed before passing through fast fourier
transform.After multi-carrier demodulation
and
deframing, the extracted pilot symbols are used for
channel estimation and synchronization. After
optionally deinterleaving, despreading
and
demapping, the channel decoder corrects the channel
errors to guarantee data reliability. Finally, the
received data bits are forwarded to the higher
protocol layer for processing. Now, it is suitable to
analyze the spreading codes that can be used in MCCDMA system. Various spreading codes exist which
can be distinguished with respect to orthogonality,
correlation properties, implementation complexity
and peak-to-average power ratio (PAPR). The
selection of the spreading code depends on the
scenario and performance of MC-CDMA is enhanced
more when spreading factor increases.

III. REED SOLOMON ENCODER
Reed Solomon( RS) codes are block based
error correcting codes with a wide range of
applications in digital communications,satellite
communications and storage deices etc. The
randomized data are arranged in block format before
passing through the Reed Solomon encoder. The
properties of Reed Solomon error correction code
make them suitable to applications where errors
occur in bursts. Reed Solomon error correction is a
coding scheme which works by first constructing a
polynomial from the data
symbols
to
be
transmitted, and then sending an Oversampled
version of the polynomial instead of the orginal
symbols .The error correction ability of any RS code
is determined by (N – K) is that the measure of
redundancy in the block If the location of the
erroneous symbols is not known in advance, then a
Reed-Solomon code can correct up to T symbols,
www.ijera.com

where T can be expressed as T= (N – K)/2 where N
is number of bytes after encoding ,K is number of
data bytes before encoding and T is number of data
bytes that can be corrected.
The input of the RS encoder block defined by
simulation is specified to be a vector whose length is
an integer multiple of l n' , being l the length of the
binary sequences corresponding to elements of the
Galois field . The function rsencoder , given in the
appendix, performs the cited encoding. In the
receiver, the function RS decoder performs the
inverse operation and the output, a vector whose
length is the same integer multiple of l n'. Therefore,
the first step to implement is to divide the data vector
in a number of blocks whose length fits the
requirement quoted above. At the same time, it has to
be taken into account that the number of data bytes
before encoding k' , the number of overall bytes after
encoding n' and the number of data bytes that can be
corrected t' and they change for every modulation
scheme .

IV.SIMULATION RESULTS
The performance of
MC-CDMA based
wimax is analysed under various modulation
techniques such as quadri phase shift key(QPSK), 16
QAM,64 QAM with reed solomon encoder.Here
performance is characteristed in terms of bit error
rate which is the ratio of number of bits received with
error divided by total number of bits is transmitted.
Matlab version 2010b is used to analyze the
performance of wimax.the results shows MC-CDMA
outperforms ofdma in terms of bit eroor rate
performance is shown in figure 3,4,5.The numerial
results shows that MC-CDMA
performs well
compared to OFDM where 3db of performance
difference in BER rate. The parameters are taken
from standard IEEE802.16 which is designed for
WiMAX. Here we choose Hadamard code with
different spreading code lengths.

1424 | P a g e
B.vinodh kumar et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1423-1425

FIG 3. QPSK modulation for OFDM &MC-CDMA

www.ijera.com

FIG 5. 64QAM modulation for OFDM &MC-CDMA

REFERENCES
[1]

FIG 4 16QAM modulation for OFDM &MC-CDMA

V. CONCLUSION
Wireless technologies are currently limited to
some services although it offers high mobility, high
data rate and QoS wireless technologies will offer
new alternatives. Offering a trade-off between
coverage, data rate, and mobility with a generic air
interface architecture is the primary goal of the next
generation of wireless systems (4G). Besides the
introduction of new technologies to cover the need
for higher data rates and new services, the integration
of existing technologies in a common platform is an
important objective of the next generation of wireless
systems .The simulation result based on different
technique for BER calculation was observed in the
simulation. The modulation techniques used in the
WiMAX are QPSK, 16-QAM and 64-QAM
respectively. The results shows MC-CDMA
outperforms OFDMand performance also improved.

www.ijera.com

Thenmozhi1, K., Varadarajan, R. and
Prithviraj, V. (2006) MC-CDMA promises
wireless broadband beyond 3G, India
:Electronic Engineering Times-Asia.
[2] WiMAX Forum (2006), Mobile WiMAX –
Part 1: A Technical Overview and Performance
Evaluation, WiMAX Forum.
[3] Nee R., V. and Prasad, R. (2000) OFDM for
Wireless
Multimedia
Communications,
1stedition , London : Artech House Publishers.
[4] Proakis, J. (1995) Digital Communications ,
2nd Edition, New York : McGraw-Hill.
[5] J. Cimini, L. (1985) Analysis and Simulation
of a Digital Mobile Channel Using Orthogonal
Frequency Division Multiplexing, IEEE Trans.
Commun., vol. 33 No. 4: pp. 665-675.
[6] International Engineering Consortium (2003) ,
http://www.iec.org/online/tutorials/smart_ant/t
opic01.html. Smart Antenna Systems,
[7] MIMO-OFDM Wireless Communications with
MATLAB -2010 Wiley publcations
[8] B. Kamali, . (2012) Understanding Wimax :
An IEE-802.16 Standard-Based Wireless
technology, IEEE Trans. Commun., vol. 31
No. 5: pp. 23-27.
[9] R. Raulefs, A. Dammann, S. Sand, S. Kaiser,
and G. Auer, “Rotated Walsh-Hadamard
Spreading with Robust Channel Estimation for
a Coded MC-CDMA System,” EURASIP
Journal on Wireless Communications and
Networking, pp.74–83, 2004.
[10] L. Nuaymi, WiMAX: Technology for
Broadband Wireless Access.Chichester, U.K.:
Wiley, 2007.
[11] Amendment to IEEE Std. 802.16-2009, IEEE
Std. 802.16m-2011,May 2011.
[12] http://archive.org/28/items/AnalysisAnd
SimulationOfMccdmaSystemForWimax
TechnologyIeee802.16/ thesis

1425 | P a g e

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  • 1. B.vinodh kumar et al Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1423-1425 RESEARCH ARTICLE www.ijera.com OPEN ACCESS Performance Analysis of MC-CDMA Based Fixed Wimax Technology By RS Encoder For Different Modulation B.vinodh kumar1, Arulpugazhendhi.M2, A.Arul3, 1,3 PG Student, 2Assistant Professor,IFET College of Engineering,Villupuram Abstract– WIMAX(worldwide interoperability for microwave access) is next generation high speed wireless technology provides long distance transmission .Generaly WIMAX is OFDM based architecture standardised by IEEE 802.16.Our aim to analyse the performance of Wimax in MC-CDMA(multi carrier code division multiple access) for RS encoder under various modulation techniques.The performance is tested in matlab simulation.The simulation results shows significant performance improvement in MC-CDMA over OFDM and the comparism is based on BER performance under various modulation scheme for Reed solomon encoder.It is shown that wimax based MC-CDMA outperforms OFDM techniques. Index terms - Wimax, RS encoder,OFDMA,MC-CDMA,BER I. INTRODUCTION WiMAX is similar to Wi-Fi but at very fast speeds provide long distance transmission.Wimax is further divided into types – fixed wimax and mobile wimax.Physical structure of fixed station and mobile station. Wimax standard is defined in IEEE 802.16. Wi-Fi typically provides local area network access covers a few hundred feet with speeds of upto 64 Mbps, a single WiMAX transceiver is expected to have a wide range of area that fixed wimax can provide internet service over 60 Km distance with a speed of 1 Gbps high data rate at motionless condition where 100 Mbps under vehicular condition. WiMAX uses Orthogonal frequency division multiple access (OFDM) as a multiple access technique. The general objective of the next generation of wireless technologies will be multimedia services such as audio, video, internet services at high very high speed with high mobility, high capacity and high Quality of services.There are many techniques to fulfill this requirement.One of the most promising technique nowaday is OFDMA.OFDM is to split the signal bandwidth into a large number of multi subcarriers so that it can support high data rate transmission over frequency selective channel and intersymbol interference can be reduced by symbol interval. A difference of OFDM is Multi-Carrier Code Division Multiple Access (MC-CDMA) which is an OFDM technique where the individual data symbols are spread using a spreading code in the frequency domain. The spreading code connected with MCCDMA provides multi access technique as well as interference suppression.In recent years, MC-CDMA is considered as one of the promising modulation technique for 4G. Its advantages are based on the combination of OFDM with CDMA.CDMA provides multiple access capability.The principle of multiwww.ijera.com carrier transmission is to convert a serial high rate data into multiple parallel low rate sub data. Since the symbol rate on each sub-carrier is much small than the initial serial data symbol rate so that the effects of ISI significantly decrease. In this paper, Reed Solomon encoder is choosen as a platform for analyzing purpose .The rest of this paper is organized as follows. In Section II, block diagram of MC-CDMA is briefly described. In Section III, reed solomon encoder. In Section IV, the effectiveness of the proposed scheme is evaluated with simulation . In Section VI, the conclusions are given and performance is analyzed Fig 1. Wimax transmission II. MC-CDMA BASED WIMAX In transmitter,random discrete data is generated with a stream of input data bits. These discrete data are encoded , mapped and optionally interleaved. The modulated symbols and the corresponding pilot symbols are multiplexed to form a frame . The resulting symbols after framing are multiplexed and multicarrier technique . The 1423 | P a g e
  • 2. B.vinodh kumar et al Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1423-1425 Data in RS encoder Mapping Spreading IFFT ADD CP www.ijera.com RF UP CONVERTER Multipath fading channel Data out RS decoder Demapping Despreading FFT REMOVE CP RF DOWN CONVERTER Fig 2. Block Diagram of Wimax for MC-CDMA modulated signal is passed through inverese fast fourier transform(IFFT) that convert signal from frequency into time domain.Finally after cyclic prefix ,signal is forwarded to the high power amplifier through a physical interface with digital-to-analog (D/A) conversion. The reception operation starts with receiving an analog signal from the high power amplifier trough SUI wireless channel The analog-todigital converter (A/D) converts the analog signal to the digital signal. In receiver side , cyclic prefix is removed before passing through fast fourier transform.After multi-carrier demodulation and deframing, the extracted pilot symbols are used for channel estimation and synchronization. After optionally deinterleaving, despreading and demapping, the channel decoder corrects the channel errors to guarantee data reliability. Finally, the received data bits are forwarded to the higher protocol layer for processing. Now, it is suitable to analyze the spreading codes that can be used in MCCDMA system. Various spreading codes exist which can be distinguished with respect to orthogonality, correlation properties, implementation complexity and peak-to-average power ratio (PAPR). The selection of the spreading code depends on the scenario and performance of MC-CDMA is enhanced more when spreading factor increases. III. REED SOLOMON ENCODER Reed Solomon( RS) codes are block based error correcting codes with a wide range of applications in digital communications,satellite communications and storage deices etc. The randomized data are arranged in block format before passing through the Reed Solomon encoder. The properties of Reed Solomon error correction code make them suitable to applications where errors occur in bursts. Reed Solomon error correction is a coding scheme which works by first constructing a polynomial from the data symbols to be transmitted, and then sending an Oversampled version of the polynomial instead of the orginal symbols .The error correction ability of any RS code is determined by (N – K) is that the measure of redundancy in the block If the location of the erroneous symbols is not known in advance, then a Reed-Solomon code can correct up to T symbols, www.ijera.com where T can be expressed as T= (N – K)/2 where N is number of bytes after encoding ,K is number of data bytes before encoding and T is number of data bytes that can be corrected. The input of the RS encoder block defined by simulation is specified to be a vector whose length is an integer multiple of l n' , being l the length of the binary sequences corresponding to elements of the Galois field . The function rsencoder , given in the appendix, performs the cited encoding. In the receiver, the function RS decoder performs the inverse operation and the output, a vector whose length is the same integer multiple of l n'. Therefore, the first step to implement is to divide the data vector in a number of blocks whose length fits the requirement quoted above. At the same time, it has to be taken into account that the number of data bytes before encoding k' , the number of overall bytes after encoding n' and the number of data bytes that can be corrected t' and they change for every modulation scheme . IV.SIMULATION RESULTS The performance of MC-CDMA based wimax is analysed under various modulation techniques such as quadri phase shift key(QPSK), 16 QAM,64 QAM with reed solomon encoder.Here performance is characteristed in terms of bit error rate which is the ratio of number of bits received with error divided by total number of bits is transmitted. Matlab version 2010b is used to analyze the performance of wimax.the results shows MC-CDMA outperforms ofdma in terms of bit eroor rate performance is shown in figure 3,4,5.The numerial results shows that MC-CDMA performs well compared to OFDM where 3db of performance difference in BER rate. The parameters are taken from standard IEEE802.16 which is designed for WiMAX. Here we choose Hadamard code with different spreading code lengths. 1424 | P a g e
  • 3. B.vinodh kumar et al Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1423-1425 FIG 3. QPSK modulation for OFDM &MC-CDMA www.ijera.com FIG 5. 64QAM modulation for OFDM &MC-CDMA REFERENCES [1] FIG 4 16QAM modulation for OFDM &MC-CDMA V. CONCLUSION Wireless technologies are currently limited to some services although it offers high mobility, high data rate and QoS wireless technologies will offer new alternatives. Offering a trade-off between coverage, data rate, and mobility with a generic air interface architecture is the primary goal of the next generation of wireless systems (4G). Besides the introduction of new technologies to cover the need for higher data rates and new services, the integration of existing technologies in a common platform is an important objective of the next generation of wireless systems .The simulation result based on different technique for BER calculation was observed in the simulation. The modulation techniques used in the WiMAX are QPSK, 16-QAM and 64-QAM respectively. The results shows MC-CDMA outperforms OFDMand performance also improved. www.ijera.com Thenmozhi1, K., Varadarajan, R. and Prithviraj, V. (2006) MC-CDMA promises wireless broadband beyond 3G, India :Electronic Engineering Times-Asia. [2] WiMAX Forum (2006), Mobile WiMAX – Part 1: A Technical Overview and Performance Evaluation, WiMAX Forum. [3] Nee R., V. and Prasad, R. (2000) OFDM for Wireless Multimedia Communications, 1stedition , London : Artech House Publishers. [4] Proakis, J. (1995) Digital Communications , 2nd Edition, New York : McGraw-Hill. [5] J. Cimini, L. (1985) Analysis and Simulation of a Digital Mobile Channel Using Orthogonal Frequency Division Multiplexing, IEEE Trans. Commun., vol. 33 No. 4: pp. 665-675. [6] International Engineering Consortium (2003) , http://www.iec.org/online/tutorials/smart_ant/t opic01.html. Smart Antenna Systems, [7] MIMO-OFDM Wireless Communications with MATLAB -2010 Wiley publcations [8] B. Kamali, . (2012) Understanding Wimax : An IEE-802.16 Standard-Based Wireless technology, IEEE Trans. Commun., vol. 31 No. 5: pp. 23-27. [9] R. Raulefs, A. Dammann, S. Sand, S. Kaiser, and G. Auer, “Rotated Walsh-Hadamard Spreading with Robust Channel Estimation for a Coded MC-CDMA System,” EURASIP Journal on Wireless Communications and Networking, pp.74–83, 2004. [10] L. Nuaymi, WiMAX: Technology for Broadband Wireless Access.Chichester, U.K.: Wiley, 2007. [11] Amendment to IEEE Std. 802.16-2009, IEEE Std. 802.16m-2011,May 2011. [12] http://archive.org/28/items/AnalysisAnd SimulationOfMccdmaSystemForWimax TechnologyIeee802.16/ thesis 1425 | P a g e