📄 stbc22_qpsk_ber.m
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hold on
%SNR upto 20 dBs
EbNo=[0:2:20];
%N, M: number of transmit and receive antennas
%N=no_tx_antennas;
%M=no_rx_antennas;
N=2;
M=2;
%initialize count
idx = 1;
Num=100;
K=1000;
for SNR=EbNo
sigma=0.5/(10^(SNR/10));
% Num -> number of packets
for packet_count=1:Num
% we are interested in transmitting 'K' SYMBOLS not bits. Hence, K*2 for QPSK
% etc.
data=randint(K*2,N);
BIT=2;
tx_bits=data.';
temp=[];
temp1=[];
for i=1:N
% [temp1 s P]=tx_modulate(tx_bits(i,:),modulation);
bits_in(i,:)=tx_bits(i,:);
full_len = length(bits_in(i,:));
%%%%%%%%%%%%%%%%%%%5
% function [mod_symbols,table, P] = tx_modulate(bits_in, modulation)
%**************************************************************************
%QPSK modulation
% Angle [pi/4 3*pi/4 -3*pi/4 -pi/4] corresponds to
% Gray code vector [00 10 11 01], respectively.
table=exp(j*[-3/4*pi 3/4*pi 1/4*pi -1/4*pi]); % generates QPSK symbols
table=table([0 1 3 2]+1); % Gray code mapping pattern for QPSK symbols
inp=reshape(bits_in(i,:),2,full_len/2);
mod_symbols=table([2 1]*inp+1); % maps transmitted bits into QPSK symbols
P=4;% 4 constellation points
%%%%%%%%%%%%%%%%%%%%%%%%%%%
temp1=mod_symbols;
s=table;
temp=[temp; temp1];
temp1=0;
end
%ready to transmit symbols of length 'K'
X=temp.';
fr_length=length(X);
% block coding-Alamouti
x0=X(:,1);% required to verify a 1x1 system
x1=X;
x2(:,1)=-conj(X(:,2));
x2(:,2)=conj(X(:,1));
% form the channel matrix
for n=1:N
% if channel_model=='AWGN '
% Hr(n,:,:)=ones(fr_length,N);
% else
Hr(n,:,:)=(randn(fr_length,N)+j*randn(fr_length,N))/sqrt(2);
% end
end
for n=1:M
%transmission matrix
H=reshape(Hr(n,:,:),fr_length,N);
Habs(:,n)=sum(abs(H).^2,2);
%received signal per receiver antenna
r1(:,n)=sum(H.*x1,2)/sqrt(N)+sqrt(sigma)*(randn(fr_length,1)+j*randn(fr_length,1));
r2(:,n)=sum(H.*x2,2)/sqrt(N)+sqrt(sigma)*(randn(fr_length,1)+j*randn(fr_length,1));
% demodulate the received signals
z1(:,n)=r1(:,n).*conj(H(:,1))+conj(r2(:,n)).*H(:,2);
z2(:,n)=r1(:,n).*conj(H(:,2))-conj(r2(:,n)).*H(:,1);
end
%uncoded(1,1)
r01=H(:,1).*x0+sqrt(sigma)*(randn(fr_length,1)+j*randn(fr_length,1));
%form estimates
for m=1:P
d01(:,m)=abs(r01-H(:,1)*s(m)).^2; % uncoded signal
%coded signals
d1(:,m)=abs(sum(z1,2)-s(m)).^2+(-1+sum(Habs,2))*abs(s(m))^2;
d2(:,m)=abs(sum(z2,2)-s(m)).^2+(-1+sum(Habs,2))*abs(s(m))^2;
end
% determine the minimum of estimates
%decision for detecting uncoded
[y0,i0]=min((d01),[],2);
s0d=s(i0).';
clear d01
%decision for detecting s1
[y1,i1]=min(d1,[],2);
s1d=s(i1).';
clear d1
%decision for detecting s2
[y2,i2]=min(d2,[],2);
s2d=s(i2).';
clear d2
% form received symbols
Xd=[s1d s2d];
%determine symbol errors
error_un(packet_count)=sum(X(:,1)~=s0d);% for uncoded
temp1=X>0;
temp2=Xd>0;
error(packet_count)=sum(sum(temp1~=temp2));% for coded
end % end of FOR loop for "packet_count"
%calculate FER, SER and BER for current idx
%for uncoded signal
SER_uncoded(idx)=sum(error_un)/(Num*K);
BER_uncoded(idx)=SER_uncoded(idx)/BIT;
FER_uncoded(idx)=SER_uncoded(idx)*K;
%for coded signal
SER(idx)=sum(error)/(Num*K);
BER(idx)=SER(idx)/BIT;
FER(idx)=SER(idx)*K;
%increment idx
idx=idx + 1;
end % end of FOR loop for SNR
%semilogy(EbNo,SER,'*')
%hold on
semilogy(EbNo,BER)
%legend('SER','BER')
clc
clear
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