📄 pts-ofdm.txt
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******************************SOURCE CODE************************************
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% PTS--PAPR Simulation
%
% Reference: S. H. Müller and J. B. Huber, “OFDM with Reduced
% Peak–to–Average Power Ratio by Optimum Combination
% of Partial Transmit Sequences,” Elect. Lett., vol. 33,
% no. 5, Feb. 1997, pp. 368–69.%
%
% Author: Bin Jiang
% National Mobile Communication Research Laboratory
% Southeast University, 210096 Nanjing, China
% Email: bjiang@seu.edu.cn
clear all; clc; close all;
K = 128; % SIZE OF FFT
V = 4; % NUMBER OF SELECTIONS
QPSK_Set = [1 -1 j -j];
Phase_Set = [1 -1];
Choose = [1 1 1 1; 1 1 1 2; 1 1 2 1; 1 2 1 1; 2 1 1 1;...
1 1 2 2; 1 2 1 2; 1 2 2 1; 2 2 1 1; 2 1 2 1; 2 1 1 2;...
2 2 2 1; 2 2 1 2; 2 1 2 2; 1 2 2 2; 2 2 2 2];
Choose_Len = 16;
MAX_SYMBOLS = 1e4;
PAPR_Orignal = zeros(1,MAX_SYMBOLS);
PAPR_PTS = zeros(1,MAX_SYMBOLS);
for nSymbol=1:MAX_SYMBOLS
Index = randint(1,K,length(QPSK_Set))+1;
X = QPSK_Set(Index(1,:)); % Orignal Frequency domain signal
x = ifft(X,[],2); % Time domain signal
Signal_Power = abs(x.^2);
Peak_Power = max(Signal_Power,[],2);
Mean_Power = mean(Signal_Power,2);
PAPR_Orignal(nSymbol) = 10*log10(Peak_Power./Mean_Power);
% PTS
A = zeros(V,K);
for v=1:V
A(v,v:V:K) = X(v:V:K);
end
a = ifft(A,[],2);
min_value = 10;
for n=1:Choose_Len
temp_phase = Phase_Set(Choose(n,:)).';
temp_max = max(abs(sum(a.*repmat(temp_phase,1,K))));
if temp_max<min_value
min_value = temp_max;
Best_n = n;
end
end
aa = sum(a.*repmat(Phase_Set(Choose(Best_n,:)).',1,K));
Signal_Power = abs(aa.^2);
Peak_Power = max(Signal_Power,[],2);
Mean_Power = mean(Signal_Power,2);
PAPR_PTS(nSymbol) = 10*log10(Peak_Power./Mean_Power);
end
[cdf1, PAPR1] = ecdf(PAPR_Orignal);
[cdf2, PAPR2] = ecdf(PAPR_PTS);
%--------------------------------------------------------------------------
semilogy(PAPR1,1-cdf1,'-b',PAPR2,1-cdf2,'-r')
legend('Orignal','PTS')
title('V=4')
xlabel('PAPR0 [dB]');
ylabel('CCDF (Pr[PAPR>PAPR0])');
grid on
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***********************END OF SOURCE CODE************************************
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