📄 ip_07_07.m
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% MATLAB script for Illustrative Problem 7, Chapter 7. echo onTb=1;f1=1000/Tb;f2=f1+1/Tb;phi=pi/4;N=5000; % number of samplest=0:Tb/(N-1):Tb;u1=cos(2*pi*f1*t);u2=cos(2*pi*f2*t);% assuming that u1 is transmitted, the received signal r issgma=1; % noise variancefor i=1:N, r(i)=cos(2*pi*f1*t(i)+phi)+gngauss(sgma); echo off;end;echo on ;% the correlator outputs are computed nextv1=sin(2*pi*f1*t);v2=sin(2*pi*f2*t);r1c(1)=r(1)*u1(1);r1s(1)=r(1)*v1(1);r2c(1)=r(1)*u2(1);r2s(1)=r(1)*v2(1);for k=2:N, r1c(k)=r1c(k-1)+r(k)*u1(k); r1s(k)=r1s(k-1)+r(k)*v1(k); r2c(k)=r2c(k-1)+r(k)*u2(k); r2s(k)=r2s(k-1)+r(k)*v2(k); echo off;end;echo on;% decision variablesr1=r1c(5000)^2+r1s(5000)^2;r2=r2c(5000)^2+r2s(5000)^2;% plotting commands follow
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