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Contemporary Communications Systems Matlab Files

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Contemporary Communications Systems Matlab Files

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Matlab Files in this book

[pb,ps]=cm_sm32(snr_in_dB)
function [pb,ps]=cm_sm32(snr_in_dB)
% [pb,ps]=cm_sm32(snr_in_dB)
%		CM_SM32  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
% the signal mapping
s00=[1 0];
s01=[0 1];
s11=[-1 0];
s10=[0 -1];
% 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 detector, for the ith symbol, is:
  n(1)=gngauss(sgma);	  	  
  n(2)=gngauss(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

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