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PAPR Reduction in OFDM system Using Tone Reservation Technique

PAPR Reduction in OFDM system Using Tone Reservation Technique

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ISSN 2249-6343<br />

International Journal of Computer Technology and Electronics Eng<strong>in</strong>eer<strong>in</strong>g (IJCTEE)<br />

Volume 2, Issue 4, August 2012<br />

<strong>PAPR</strong> <strong>Reduction</strong> <strong>in</strong> <strong>OFDM</strong> <strong>system</strong> Us<strong>in</strong>g <strong>Tone</strong><br />

<strong>Reservation</strong> <strong>Technique</strong><br />

Malhar Chauhan, Prof.Abhishek Chobey<br />

<br />

Abstract— <strong>OFDM</strong> (Orthogonal Frequency Division<br />

Multiplex<strong>in</strong>g) is spectrally efficient modulation technique used<br />

for higher data rate transmission. Basically <strong>OFDM</strong> <strong>system</strong> is<br />

very effective technique <strong>in</strong> its way ,but ma<strong>in</strong> disadvantage is<br />

Peak to Average Power Ratio. This Ratio Must be reduce to<br />

perfom efficient communication. Different technique can be<br />

used to reduce it. Here <strong>in</strong> this paper proposed technique is <strong>Tone</strong><br />

reservation.<br />

Index Terms— Orthogonal Frequency Division Multiplex<strong>in</strong>g<br />

(<strong>OFDM</strong>), Peak to Average Power Ratio, Problems &<br />

Solutions,<strong>Tone</strong> <strong>Reservation</strong>.<br />

I. INTRODUCTION<br />

<strong>OFDM</strong> (Orthogonal Frequency Division Multiplex<strong>in</strong>g) is<br />

multi path multiplex<strong>in</strong>g technique.In <strong>OFDM</strong> <strong>system</strong> Large<br />

number of Orthogonal ,Overlapp<strong>in</strong>g,narrow band sub carriers<br />

transmitted <strong>in</strong> parallel. In this technique higher data rate is<br />

divided <strong>in</strong>to lower data rate. In <strong>OFDM</strong> System all sub carriers<br />

is arranged Orthogonally. Here as per the advantage <strong>OFDM</strong><br />

<strong>system</strong> provides best performance but by see<strong>in</strong>g its<br />

disadvantage related <strong>PAPR</strong> efficiency can be decrease. Now,<br />

to reduce <strong>PAPR</strong> different techniques have proposed. In this<br />

paper <strong>Tone</strong> <strong>Reservation</strong> technique is proposed. We will<br />

discuss about this technique and its simulation <strong>in</strong> this paper.<br />

.<br />

Fig-1 <strong>OFDM</strong> Spectrum<br />

Periodic So, for cont<strong>in</strong>ous time<br />

∫cos (2πnf 0 t) cos(2πmf 0 t)dt = 0<br />

II. <strong>OFDM</strong><br />

Basic Pr<strong>in</strong>cipal of <strong>OFDM</strong> <strong>system</strong> is to divide high data rate<br />

transmission <strong>in</strong>to lower data rate and that are transmitted<br />

simultaneously over number of subcarriers. Each of these<br />

signal are <strong>in</strong>dividually modulated and transmitted over the<br />

channel. And at the Receiver and signal will be demodulated<br />

and recomb<strong>in</strong>e to recover the Orig<strong>in</strong>al Signal.Now as per the<br />

ma<strong>in</strong> aim of this paper <strong>PAPR</strong> reduction is must necessary to<br />

perform efficient transmission. In this paper <strong>Tone</strong><br />

reservations<br />

with clipp<strong>in</strong>g technique have proposed. Here <strong>in</strong> <strong>OFDM</strong><br />

<strong>system</strong> each signal is orthogonal to each other. As shown <strong>in</strong><br />

figure given below Each subcarrier arranged Orthogonally <strong>in</strong><br />

spectrum. Periodic signal are orthogonal when <strong>in</strong>tegral of<br />

their product is zero.<br />

Fig-1 Block Diagram Of <strong>OFDM</strong> System<br />

Basically <strong>in</strong> <strong>OFDM</strong> <strong>system</strong> QAM Modulation is used.this<br />

modulation technique is used to transmit the signal over<br />

communication channel to m<strong>in</strong>imize the effect of the<br />

noise.this can be done <strong>in</strong> order to ensure that orig<strong>in</strong>al data can<br />

be retrieve by demodulation.High data rate can be divided<br />

<strong>in</strong>to small packets which are orthogonal to eachother.this can<br />

be done through QPSK modulation technique.After<br />

perform<strong>in</strong>g IFFT signal will pass from the parallel to serial<br />

converter.Now Focus<strong>in</strong>g on <strong>PAPR</strong> (Peak to Average Power<br />

Ratio).<br />

57


ISSN 2249-6343<br />

International Journal of Computer Technology and Electronics Eng<strong>in</strong>eer<strong>in</strong>g (IJCTEE)<br />

Volume 2, Issue 4, August 2012<br />

III. <strong>PAPR</strong> (PEAK TO AVERAGE POWER RATIO)<br />

Now here is the explanation of <strong>PAPR</strong> <strong>in</strong> Mathematical<br />

equation form. <strong>PAPR</strong> is def<strong>in</strong>ed as the maximum power<br />

occurr<strong>in</strong>g <strong>in</strong> the <strong>OFDM</strong> transmission to the average power of<br />

the <strong>OFDM</strong> transmission. Mathematical representation has<br />

been given below.<br />

<strong>PAPR</strong> = P peak = max [|x n | 2 ]<br />

P average E [|x n | 2 ]<br />

Where, P peak = Peak power of the <strong>OFDM</strong> <strong>system</strong><br />

P average = average power of the <strong>OFDM</strong> <strong>system</strong>.<br />

E [・] is the expectation operator<br />

The <strong>PAPR</strong> of an oversampled version of x (t) calculated<br />

as per the above equation (1). Here <strong>in</strong> this equation our ma<strong>in</strong><br />

goal is to m<strong>in</strong>imize the max [|X n | 2 ].<br />

Fig.3 <strong>OFDM</strong> signal conta<strong>in</strong><strong>in</strong>g s<strong>in</strong>usoidal high peaks<br />

In basics of <strong>OFDM</strong> (Orthogonal frequency division<br />

multiplex<strong>in</strong>g) has been discussed .actually <strong>OFDM</strong> <strong>system</strong> is<br />

very efficient & marvelous technique <strong>in</strong> its manner, but when<br />

there is a merits demerits also available. So here we discuss<br />

one of the major drawbacks of the <strong>OFDM</strong> <strong>system</strong>. Drawback<br />

is high <strong>PAPR</strong> (Peak-to-Average Power ratio). <strong>PAPR</strong> means<br />

randomly s<strong>in</strong>usoidal leads occurred dur<strong>in</strong>g transmission of the<br />

<strong>OFDM</strong> signal. So <strong>in</strong> this chapter we discuss basics of <strong>PAPR</strong>,<br />

why it is created & what the proposed solution are for reduce<br />

it. Now <strong>in</strong> Fig. 3 as per expla<strong>in</strong>ed above high s<strong>in</strong>usoidal peak<br />

is shown clearly. So we can understand by see<strong>in</strong>g it what is it.<br />

Signal is transmitted with the sdata = 64 data symbol per<br />

frame to IFFT. Now here <strong>in</strong> Fig.4 orig<strong>in</strong>al <strong>PAPR</strong> is displayed.<br />

And power value is 10dB. So this much power level is high<br />

for transmitt<strong>in</strong>g <strong>OFDM</strong> signal. So it conta<strong>in</strong> more power.<br />

Here power level of <strong>PAPR</strong> is must <strong>PAPR</strong>><strong>PAPR</strong>0<br />

Fig.4 Orig<strong>in</strong>al <strong>PAPR</strong><br />

In this paper ma<strong>in</strong> Aim is to reduce the <strong>PAPR</strong> from 10db level<br />

to less level so by that performance can be improved. So as<br />

per the <strong>in</strong>troduction of <strong>PAPR</strong> we can judge that to reduce the<br />

<strong>PAPR</strong> is most important po<strong>in</strong>t <strong>in</strong> the <strong>OFDM</strong> <strong>system</strong>. Because<br />

of when we are talk<strong>in</strong>g about the high speed data<br />

communication <strong>in</strong> real life like video call<strong>in</strong>g, high speed<br />

<strong>in</strong>ternet access, and also ma<strong>in</strong> po<strong>in</strong>t is that high speed data<br />

access up to 2mbps while mov<strong>in</strong>g on the vehicle at 100km/h, ,<br />

Microwave terrestrial television, Digital audio broadcast<strong>in</strong>g<br />

(DAB), 4G <strong>system</strong>, hyper LAN. So this most type of<br />

communication <strong>system</strong>s required high data rate. But problem<br />

occurs like <strong>PAPR</strong> <strong>in</strong> <strong>OFDM</strong> <strong>system</strong> prevent these types of<br />

facilities <strong>in</strong> the real life. So to reduce it is most important.<br />

This is the simulation of <strong>OFDM</strong> <strong>system</strong> to observe <strong>PAPR</strong> <strong>in</strong> it.<br />

So this is the basic explanation about <strong>PAPR</strong> and why it is<br />

reduce <strong>in</strong> <strong>OFDM</strong> <strong>system</strong>. Now there are different techniques<br />

has been proposed for the reduc<strong>in</strong>g <strong>PAPR</strong> <strong>in</strong> <strong>OFDM</strong> <strong>system</strong>.<br />

<strong>Tone</strong> <strong>Reservation</strong><br />

IV. PROPOSED TECHNIQUE<br />

This technique <strong>in</strong>cludes no of set of reservation of tones. By<br />

us<strong>in</strong>g this technique reserved tones can be used to m<strong>in</strong>imize<br />

the <strong>PAPR</strong>.this method is used for multicarrier transmission<br />

and also shows the reserv<strong>in</strong>g tones to reduce the <strong>PAPR</strong>.this<br />

technique is depend on amount of complexity.when there is<br />

number of tones is small rduction <strong>in</strong> <strong>PAPR</strong> may represent non<br />

negligible samples of available bandwidth.advantage of this<br />

tone reservation is very positive that no process is needed at<br />

receiver end. And also do not need to transmit the side<br />

<strong>in</strong>formation along with the transmitted signal. In this<br />

technique no of loop is used .and the signal will pass from<br />

each loop. And depend<strong>in</strong>g no of iterate the output <strong>PAPR</strong><br />

value will be displayed.<br />

58


ISSN 2249-6343<br />

International Journal of Computer Technology and Electronics Eng<strong>in</strong>eer<strong>in</strong>g (IJCTEE)<br />

Volume 2, Issue 4, August 2012<br />

Now as per shown the fig.6 this is the simulation result by<br />

us<strong>in</strong>g the tone reservation technique to reduce the <strong>PAPR</strong>. This<br />

proposed technique <strong>in</strong>cludes signal power & mean power .<br />

Now <strong>in</strong> this technique <strong>OFDM</strong> signal is transmitted after<br />

perform IFFT .<br />

X=IFFT(X*TR)*√ N<br />

Here as per the signal power and comb<strong>in</strong>ation of mean power<br />

and CR. <strong>Reduction</strong> <strong>in</strong> <strong>PAPR</strong> has been possible.<br />

Fig.5 shows <strong>PAPR</strong> reduction up to 1.5 dB<br />

As per the technique above fig shows the previous simulation<br />

by keep<strong>in</strong>g CR= 1, that why reduction <strong>in</strong> the <strong>PAPR</strong> can be<br />

done up to 1.5dB only but the times always wants some<br />

changes so by this technique due to some changes better<br />

result can be display. In table the data shows reduction <strong>in</strong><br />

CCDF of <strong>PAPR</strong>.<br />

Table-1 Data of <strong>Reduction</strong> <strong>in</strong> CCDF for M=32<br />

CCDF_X =<br />

Columns 1 through 16<br />

1.0000 1.0000 1.0000 0.9980 0.9940<br />

0.9740 0.9230 0.8440 0.7430 0.6270 0.5080<br />

0.3800 0.2710 0.1870 0.1280 0.0820<br />

Columns 17 through 31<br />

0.0560 0.0350 0.0190 0.0110 0.0070<br />

0.0030 0.0010 0 0 0 0 0 0<br />

0 0<br />

The signal generated <strong>in</strong> BPSK modulation.signal then signal<br />

passed from 1000 loops.<strong>OFDM</strong> signal’s peaks can be remove<br />

at some level by us<strong>in</strong>g this technique. In this technique by<br />

us<strong>in</strong>g previous reservation terms further can be evaluate.<br />

Table-2 Data of <strong>Reduction</strong> <strong>in</strong> CCDF for M=32<br />

CCDF_X =<br />

Columns 1 through 16<br />

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000<br />

1.0000 1.0000 1.0000 0.9990 0.9970 0.9890<br />

0.9720 0.9330 0.8820 0.8280<br />

Columns 17 through 31<br />

0.7470 0.6640 0.5800 0.4880 0.3970 0.3190<br />

0.2460 0.1760 0.1260 0.0940 0.0580 0.0410<br />

0.0330 0.0170 0.0110<br />

Fig.6 shows <strong>PAPR</strong> reduction up to 2 dB<br />

Clipp<strong>in</strong>g Ratio (CR) = 2<br />

Here particular <strong>in</strong> this technique loop is 1000. And the<br />

reduce<strong>in</strong>g of data we can see here it is cont<strong>in</strong>uous decreas<strong>in</strong>g.<br />

The value of CCDF is checked for 32 Times because here<br />

M=32.<br />

V. CONCLUSION<br />

As per the data of paper and the simulation result the<br />

simulated graph shows that the technique that proposed<br />

named tone reservation has affected at some level that we<br />

can show easily <strong>in</strong> the fig.6 graph. Basically this type of<br />

simulation will be helpful for the future of <strong>OFDM</strong> <strong>system</strong>.<br />

Actually day by day due to improvement of technology <strong>in</strong><br />

the field of communication this type of improvement will<br />

widely hepful.<br />

REFERENCES<br />

[1] V. Vijayarangan, Dr. (Mrs) R. Sukanesh , “An Overview Of<br />

<strong>Technique</strong>s For Reduc<strong>in</strong>g Peak to Average Power Ratio And Its<br />

Selection Criteria For Orthogonal Frequency<br />

Divisionmultiplex<strong>in</strong>g Radio Systems” Journal Of Theoretical<br />

And Applied Information Technology,Year 2009 ,Vol-5, No-5,<br />

E- Issn- 1817-3195/Issn-1992-8645<br />

59


ISSN 2249-6343<br />

International Journal of Computer Technology and Electronics Eng<strong>in</strong>eer<strong>in</strong>g (IJCTEE)<br />

Volume 2, Issue 4, August 2012<br />

[2] Umar Izaz Butt, “A Study On <strong>Tone</strong> <strong>Reservation</strong> <strong>Technique</strong> For<br />

Papr <strong>Reduction</strong> In Ofdm” Year 2010 Dissertation .Com Boca<br />

Raton, Florida ISBN-10:1-59942-360-X, ISBN-13:<br />

978-1-59942-360-9<br />

[3] Malhar chauhan,Saurabh patel,Hardik patel “ Different<br />

<strong>Technique</strong>s to Reduce the <strong>PAPR</strong> <strong>in</strong> <strong>OFDM</strong> System” year 2012,<br />

International Journal of Eng<strong>in</strong>eer<strong>in</strong>g Research andApplications<br />

(IJERA) ISSN: 2248-9622, Vol. 2, Issue 3<br />

Thesis:<br />

[1] Mohammad Zavid Parvez Md. Abdullah Al Baki “Peak To<br />

Average Power Ratio (Papr) <strong>Reduction</strong> In Ofdm Based Radio<br />

Systems”, Master Of Science Thesis Blek<strong>in</strong>ge Institute Of<br />

Technology May 2010.<br />

[2] Abhishek Arun Dash “Ofdm Systems and Papr <strong>Reduction</strong><br />

<strong>Technique</strong>s <strong>in</strong> Ofdm Systems”, Bachelor Thesis, Department Of<br />

Electronics and Communication Eng<strong>in</strong>ner<strong>in</strong>g National Institute<br />

of Technology, Rourkela 2006 – 2010.<br />

[3] A.H.M Shahparan “Numarical Performance Evalution Of Papr<br />

<strong>Reduction</strong> In Mimo Ofdm Wireless Communication” Thesis Of<br />

Bachelor Of Science Department Computer Science &<br />

Telecommunication Eng<strong>in</strong>eer<strong>in</strong>g, Noakhali Science<br />

Technological University,Sonapur.Nov-2011<br />

AUTHOR‟S PROFILE:-<br />

Malhar Chauhan1 F<strong>in</strong>al Mtech Student<br />

Dept of E.C.E, RKDF Institute Of Technology ,Bhopal,India.<br />

Prof.Abhishek Chobey2 Professor<br />

Dept of E.C.E, RKDF Institute Of Technology ,Bhopal,India.<br />

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