📄 ofdslmsimulation.m
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clear all; clc; close all;
K = 128;
U = 16;
samplerate=4;
QPSK_Set = [1 -1 j -j];
Phase_Set = [1 -1 j -j ];
MAX_SYMBOLS = 1e5;
PAPR_Orignal = zeros(1,MAX_SYMBOLS);
PAPR_SLM_2 = zeros(1,MAX_SYMBOLS);
PAPR_SLM_4 = zeros(1,MAX_SYMBOLS);
PAPR_SLM_8 = zeros(1,MAX_SYMBOLS);
PAPR_SLM_16 =zeros(1,MAX_SYMBOLS);
X = zeros(U,K);
Index = zeros(U,K);
for nSymbol=1:MAX_SYMBOLS
Index(1,:) = randint(1,K,length(QPSK_Set))+1;
Index(2:U,:) = randint(U-1,K,length(Phase_Set))+1;
X(1,:) = QPSK_Set(Index(1,:));
Phase_Rot = Phase_Set(Index(2:U,:));
X(2:U,:) = repmat(X(1,:),U-1,1).*Phase_Rot;
Xsam=UtraSample(X,samplerate);
x = ifft(Xsam,K*samplerate,2);
Signal_Power = abs(x.^2);
Peak_Power = max(Signal_Power,[],2);
Mean_Power = mean(Signal_Power,2);
PAPR_temp = 10*log10(Peak_Power./Mean_Power);
PAPR_Orignal(nSymbol) = PAPR_temp(1);
PAPR_SLM_2(nSymbol) = min(PAPR_temp(1:2,:));
PAPR_SLM_4(nSymbol) = min(PAPR_temp(1:4,:));
PAPR_SLM_8(nSymbol) = min(PAPR_temp(1:8,:));
PAPR_SLM_16 (nSymbol) =min(PAPR_temp(1:16,:));
end
[cdf1, PAPR1] = ecdf(PAPR_Orignal);
[cdf2, PAPR2] = ecdf(PAPR_SLM_2);
[cdf3, PAPR3] = ecdf(PAPR_SLM_4);
[cdf4, PAPR4] = ecdf(PAPR_SLM_8);
[cdf5, PAPR5] = ecdf(PAPR_SLM_16);
xx = 0:.02:12;
n = K*1;
yy = zeros(length(n),length(xx));
for jj=1:length(n)
for ii=1:length(xx)
yy(ii,jj) = 1-(1-exp(-10.^(xx(ii)/10)))^(2.8*n(jj));
end
end
PAPR1s=zeros(1,uint16(length(PAPR1)/10+1));
cdf1ss=zeros(1,uint16(length(PAPR1)/10+1));
for qq=1:uint16(length(PAPR1))
PAPR1s(uint16(qq/10+1))=PAPR1(qq);
cdf1s(uint16(qq/10+1))=cdf1(qq);
end
xxs=zeros(1,uint16(length(xx)/10));yys=zeros(1,uint16(length(xx)/10));
for qq=1:uint16(length(xx))
xxs(uint16(qq/10+1))=xx(qq);
yys(uint16(qq/10+1))=yy(qq);
end
semilogy(PAPR1s,1-cdf1s,'*-b',PAPR2,1-cdf2,'--r',PAPR3,1-cdf3,'--c',PAPR4,1-cdf4,'--k',PAPR5,1-cdf5,'--m',xxs, yys, 'o-g')
legend('Orignal','U=2','U=4','U=8', 'U=16','Theoritical',3)
title('SLM METHOD FOR PAPR REDUCTION')
xlabel('PAPR0 [dB]');
ylabel('CCDF (Pr[PAPR>PAPR0])');
hold on;
grid on
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