function [pb,ps]=cm_sm32(snr_in_dB)
% [pb,ps]=cm_sm32(snr_in_dB)
% CM_SM3 finds the probability of bit error and symbol error for
% the given value of snr_in_dB, signal to noise ratio in dB.
N=10000;
E=1; % energy per symbol
snr=10^(snr_in_dB/10); % signal to noise ratio
sgma=sqrt(E/snr)/2; % noise variance
s00=[1 0]; s01=[0 1]; s11=[-1 0]; s10=[0 -1]; % signal mapping
% generation of the data source
for i=1:N,
temp=rand; % a uniform random variable between 0 and 1
if (temp<0.25), % with probability 1/4, source output is "00"
dsource1(i)=0; dsource2(i)=0;
elseif (temp<0.5), % with probability 1/4, source output is "01"
dsource1(i)=0; dsource2(i)=1;
elseif (temp<0.75), % with probability 1/4, source output is "10"
dsource1(i)=1; dsource2(i)=0;
else % with probability 1/4, source output is "11"
dsource1(i)=1; dsource2(i)=1;
end;
end;
% detection and the probability of error calculation
numofsymbolerror=0;
numofbiterror=0;
for i=1:N,
% the received signal at the detection, for the ith symbol,is:
n=sgma*randn(1,2); % 2 normal distributed r.v with 0, variance sgma
if ((dsource1(i)==0) & (dsource2(i)==0)),
r=s00+n;
elseif ((dsource1(i)==0) & (dsource2(i)==1)),
r=s01+n;
elseif ((dsource1(i)==1) & (dsource2(i)==0)),
r=s10+n;
else
r=s11+n;
end;
% The correlation metrics are computed below
c00=dot(r,s00); c01=dot(r,s01); c10=dot(r,s10); c11=dot(r,s11);
% The decision on the ith symbol is made next
c_max=max([c00,c01,c10,c11]);
if (c00==c_max), decis1=0; decis2=0;
elseif (c01==c_max), decis1=0; decis2=1;
elseif (c10==c_max), decis1=1; decis2=0;
else decis1=1; decis2=1;
end;
% Increment the error counter, if the decision is not correct
symbolerror=0;
if (decis1~=dsource1(i)), numofbiterror=numofbiterror+1; symbolerror=1;
end;
if (decis2~=dsource2(i)), numofbiterror=numofbiterror+1; symbolerror=1;
end;
if (symbolerror==1), numofsymbolerror=numofsymbolerror+1;
end;
end;
ps=numofsymbolerror/N; % since there are totally N symbols
pb=numofbiterror/(2*N); % since 2N bits are transmitted