📄 ip_06_11.m
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% MATLAB script for Illustrative Problem 11, Chapter 6.
echo on
T=1;
for n=-2:2,
for k=-2:2,
temp=0;
for i=-2:2,
temp=temp+(1/(1+(n-i)^2))*(1/(1+(k-i)^2));
end;
X(k+3,n+3)=temp;
end;
end;
N0=0.01; % assuming that N0=0.01
Ry=X+(N0/2)*eye(5);
Riy=[1/5 1/2 1 1/2 1/5].';
c_opt=inv(Ry)*Riy; % optimal tap coefficients
% find the equalized pulse...
t=-3:1/2:3;
x=1./(1+(2*t/T).^2); % sampled pulse
equalized_pulse=conv(x,c_opt);
% decimate the pulse to get the samples at the symbol rate
decimated_equalized_pulse=equalized_pulse(1:2:length(equalized_pulse));
% plotting command follows
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