📄 qpsk_awgn_draw.m
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% QPSK with AWGN channel
clear;
% initialization
T=1; % symbol duration
fc=10/T; % carrier frequence
ml=2; % modulation of level ml=1 BPSK,ml=2 QPSK
nb=100; % number of transmiting bit
delta_T=T/200; % sampling interval
fs=1/delta_T; % sampling frequency
SNR=0; % signal to noise ratio
t=0:delta_T:nb*T-delta_T;
N=length(t); % number of samples
% generate source data
data=randn(1,nb)>0.5;
datanrz=data.*2-1; % translate source data into NRZ code
data1=zeros(1,nb/delta_T);
for q=1:nb
data1((q-1)/delta_T+1:q/delta_T)=datanrz(q);
end % transmitting signal
data2=abs(fft(data1));
% S/P conversion
idata=datanrz(1:ml:(nb-1));
qdata=datanrz(2:ml:nb);
% QPSK modulation
ich=zeros(1,nb/delta_T/2);
for i=1:nb/2
ich((i-1)/delta_T+1:i/delta_T)=idata(i);
end
for ii=1:N/2
a(ii)=sqrt(2/T)*cos(2*pi*fc*t(ii));
end
idata1=ich.*a; % I-channel multiply carrier
qch=zeros(1,nb/2/delta_T);
for j1=1:nb/2
qch((j1-1)/delta_T+1:j1/delta_T)=qdata(j1);
end
for jj=1:N/2
b(jj)=sqrt(2/T)*sin(2*pi*fc*t(jj));
end
qdata1=qch.*b; % Q-channel multiply carrier
s=idata1+qdata1; % QPSK modulated signal
ss=abs(fft(s));
% through AWGN
s1=awgn(s,SNR); % received signal
s11=abs(fft(s1));
% QPSK demodulation
idata2=s1.*a;
qdata2=s1.*b; % multiply carrier
idata3=zeros(1,nb/2);
qdata3=zeros(1,nb/2);
for n=1:nb/2
if sum(idata2((n-1)/delta_T+1:n/delta_T))>=0
idata3(n)=1;
else idata3(n)=0;
end
if sum(qdata2((n-1)/delta_T+1:n/delta_T))>=0
qdata3(n)=1;
else qdata3(n)=0;
end
end % integral and decision
% P/S conversion
demodata=zeros(1,nb);
demodata(1:ml:(nb-1))=idata3;
demodata(2:ml:nb)=qdata3;
% calculate number of error
num_BER=sum(abs(demodata-data))
% plot commends
h = spectrum.welch;
figure(1)
plot(data1),title('baseband signal');
figure(2)
plot(fftshift(data2)),title('baseband signal spectrum');
figure(3)
psd(h,data1,'fs',fs),title('baseband signal power spectrum');
figure(4)
plot(s),title('modulated signal');
axis([0 1000 -3 3]);
figure(5)
plot(fftshift(ss)),title('modulated signal spectrum');
figure(6)
psd(h,s,'fs',fs),title('modulated signal power spectrum');
figure(7)
plot(s1),title('AWGN output signal');
axis([0 500 -6 6]);
figure(8)
plot(fftshift(s11)),title('output signal spectrum');
figure(9)
psd(h,s1,'fs',fs),title('output siganl power spectrum');
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