papr.m

Obtain the CDF plots of PAPR from an OFDM BPSK transmission specified per IEEE 802.11a specification

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% Author	: Krishna
% Email		: [e-mail]
% Version	: 1.0
% Date		: 24 February 2008
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% Script for computing the per symbol peak to average PAPR for 
% an OFDM transmit waveform (loosely based on IEEE 802.11A 
% specifications) 
% Further, Cumulative Distribution Function (CDF) plots of the 
% PAPR is captured

clear
nFFTSize = 64;
% for each symbol bits a1 to a52 are assigned to subcarrier 
% index [-26 to -1 1 to 26] 
subcarrierIndex = [-26:-1 1:26];
nBit = 10000; 
ip = rand(1,nBit) > 0.5; % generating 1's and 0's
nBitPerSymbol = 52;

nSymbol = ceil(nBit/nBitPerSymbol);

% BPSK modulation
% bit0 --> -1
% bit1 --> +1
ipMod = 2*ip - 1; 
ipMod = [ipMod zeros(1,nBitPerSymbol*nSymbol-nBit)];
ipMod = reshape(ipMod,nSymbol,nBitPerSymbol);

st = []; % empty vector

for ii = 1:nSymbol

inputiFFT = zeros(1,nFFTSize);

% assigning bits a1 to a52 to subcarriers [-26 to -1, 1 to 26]
inputiFFT(subcarrierIndex+nFFTSize/2+1) = ipMod(ii,:);

%  shift subcarriers at indices [-26 to -1] to fft input indices [38 to 63]
inputiFFT = fftshift(inputiFFT); 

outputiFFT = 64*ifft(inputiFFT,nFFTSize);

% adding cyclic prefix of 16 samples 
outputiFFT_with_CP = [outputiFFT(49:64) outputiFFT];

% computing the peak to average power ratio for each symbol
meanSquareValue = outputiFFT*outputiFFT'/length(outputiFFT);
peakValue = max(outputiFFT.*conj(outputiFFT));
paprSymbol(ii) = peakValue/meanSquareValue; 

% concatenating the symbols to form the final output
st = [st outputiFFT_with_CP];

end

close all
paprSymboldB = 10*log10(paprSymbol);
[n x] = hist(paprSymboldB,[0:0.5:15]);
plot(x,cumsum(n)/nSymbol,'LineWidth',4)
xlabel('papr, x dB')
ylabel('Probability, X <=x')
title('CDF plots of PAPR from an IEEE 802.11a Tx with BPSK modulation')
grid on