📄 qpsk_rayleigh.asv
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% qpsk_rayleigh.m
%
% Simulation program to realize QPSK transmission system over Rayleigh channel
%
clear;
clc;
%******************** Preparation part *************************************
sr=256000.0; % Symbol rate
ml=2; % ml:Number of modulation levels (BPSK:ml=1, QPSK:ml=2, 16QAM:ml=4)
br=sr.*ml; % Bit rate
nd=100; % Number of symbols that simulates in each loop
IPOINT=8; % Number of oversamples
sample2=32;
%************************* Filter initialization ***************************
irfn=21; % Number of taps
alfs=0.5; % Rolloff factor
[xh] = hrollfcoef(irfn,IPOINT,sr,alfs,1); %Transmitter filter coefficients
[xh2] = hrollfcoef(irfn,IPOINT,sr,alfs,0); %Receiver filter coefficients
%******************** START CALCULATION *************************************
nloop=100; % Max number of simulation loops
noe = 0; % Number of error data
nod = 0; % Number of transmitted data
for ebn0=0:2:24 % Eb/N0
for iii=1:nloop
%*************************** Data generation ********************************
data=rand(1,nd*ml)>0.5; % rand: built in function
data1=2.*data-1;
for i=1
%*************************** QPSK Modulation ********************************
[ich,qch]=qpskmod(data1,1,nd,ml);
[ich1,qch1]= compoversamp(ich,qch,length(ich),IPOINT);
[ich2,qch2]= compconv(ich1,qch1,xh);
%****************************Add signals to carriers*********************
ich_sample2=oversample2(ich2,sample2);
qch_sample2=oversample2(qch2,sample2);
%Frequency of carriers is 4 times as large as
%that of singnals after oversample(IPOINT=8)
cos_carrier=cos((8*pi/sample2)*[1:length(ich_sample2)]);
sin_carrier=sin((8*pi/sample2)*[1:length(qch_sample2)]);
ich_sample2=ich_sample2.*cos_carrier;
qch_sample2=qch_sample2.*sin_carrier;
%*************************** Fading Channel ******************************
[ifade,qfade]=rayleigh(ich_sample2,qch_sample2);
%**************************** Attenuation Calculation ***********************
spow=sum(ifade.*ifade+qfade.*qfade)/nd; % sum: built in function
attn=0.5*spow*sr/br*10.^(-ebn0/10);
attn=sqrt(attn);
%********************* Add White Gaussian Noise (AWGN) **********************
[ich31,qch31]= comb(ifade,qfade,attn);
%********************Resume signals from carriers**************************
ich32=ich31.*cos_carrier;
qch32=qch31.*sin_carrier;
%butterworth filter(cut-off frequency is chosen as same as carrier)
[b,a]=butter(10,0.1);
%filter the signals
ich3=filter(b,a,ich32);
qch3=filter(b,a,qch32);
%resume dada from oversampled signals every 32 points
ich3_data=ich3(1:sample2:length(ich3));
qch3_data=qch3(1:sample2:length(qch3));
[ich4,qch4]= compconv(ich3_data,qch3_data,xh2);
syncpoint=irfn*IPOINT+1;
ich5=ich4(syncpoint:IPOINT:length(ich4));
qch5=qch4(syncpoint:IPOINT:length(qch4));
%**************************** QPSK Demodulation *****************************
[demodata]=qpskdemod(ich5,qch5,1,nd,ml);
%************************** Bit Error Rate (BER) ****************************
noe2=sum(abs(data-demodata)); % sum: built in function
nod2=length(data); % length: built in function
noe=noe+noe2;
nod=nod+nod2;
%************************Check if noe>=100******************************
if noe>=10
flag=1;
break;
end
end % for iii=1:nloop
%********************** Output result ***************************
ber = noe/nod;
fprintf('%d\t%e\n',ebn0,noe/nod); % fprintf: built in function
noe = 0;
nod = 0;
end % for ebn0=0:2:20
%*********************Plot the data of the last loop**************
figure(1);
subplot(2,2,1);
plot(data(1:10),'c');
title('基带信号');
subplot(2,2,2);
p1=spectrum(data,256');
plot(p1,'c');
title('基带信号功率谱');
subplot(2,2,3);
plot(ich_sample2,'b');
title('已调信号(信道I)');
subplot(2,2,4);
p2=spectrum(ich_sample2,256);
plot(p2,'b');
title('已调信号(信道I)功率谱 ');
figure(2);
subplot(2,2,1);
plot(ich31,'k');
title('接收信号(信道I)');
subplot(2,2,2);
p3=spectrum(ich31,256);
plot(p3,'k');
title('接收信号(信道I)功率谱');
subplot(2,2,3);
plot(demodata(1:10),'g');
title('解调信号(前10周期)');
subplot(2,2,4);
p4=spectrum(demodata,256);
plot(p4,'g');
title('解调信号功率谱');
figure(3);
plot(ich, qch,'b+');
title('经信道传输前信号的星座图');
figure(4);
plot(ifade,qfade,'b+');
title('经信道传输后信号的星座图');
%******************** end of file ***************************
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