📄 qam.m
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% 16QAM Modualtion
% Intialization
Ld=4096;
OSF=4;
SNR_dB=20;
load('RRC_4.mat');
PSF_Len=length(RRC_4);
% RRC_4=[];
% QPSK_Constellation=1/sqrt(2)*[1+j, -1+j, 1-j,-1-j];
% Source data
d=randint(1,Ld,2);
% 16QAM Modulation
%Mod=(1-2*d(1:2:end)+j*(1-2*d(2:2:end)))/sqrt(2);
Mod=((2*d(1:4:end)-1)*2+j*(2*d(2:4:end)-1)*2+2*d(3:4:end)-1+j*(2*d(4:4:end)-1))/sqrt(10);
% Upsample
Mod_Upsample=reshape([Mod;zeros(OSF-1,Ld/4)],1,OSF*Ld/4);
% TX pulse shaping filter (Power normalization)
s=conv(OSF*Mod_Upsample,RRC_4);
% Select
tx=s((PSF_Len-1)/2+1:end-(PSF_Len-1)/2);
% AWGN Channel
rx=awgn(tx,SNR_dB-10*log10(OSF),'measured');
% RX matched filter (pulse shaping filter)
rx_filter=conv(rx,RRC_4);
% Select (sychronization)
rx_decision=rx_filter((PSF_Len-1)/2+1:end-(PSF_Len-1)/2);
% downsample
Mod_downsample=rx_decision(1:OSF:end);
% Hard decision
re=real(Mod_downsample);
im=imag(Mod_downsample);
for wy=1:Ld/4
if re(wy)>0.632
d1(wy)=1;
d3(wy)=1;
elseif re(wy)>0
d1(wy)=1;
d3(wy)=0;
elseif re(wy)>-0.632
d1(wy)=0;
d3(wy)=1;
else d1(wy)=0;
d3(wy)=0;
end
if im(wy)>0.632
d2(wy)=1;
d4(wy)=1;
elseif im(wy)>0
d2(wy)=1;
d4(wy)=0;
elseif im(wy)>-0.632
d2(wy)=0;
d4(wy)=1;
else d2(wy)=0;
d4(wy)=0;
end
end
%output data
dd=reshape([d1;d2;d3;d4],1,Ld);
%test error rate
test=dd-d;
count=0;
for i=1:4096
if test(i)~=0 count=count+1;
end
end
BER=count/Ld
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