?? ip_02_04.m
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% MATLAB script for Illustrative Problem 2.4.
echo on
N=1000;
M=50;
Rx_av=zeros(1,M+1);
Sx_av=zeros(1,M+1);
for j=1:10, % Take the ensemble average over ten realizations
X=rand(1,N)-1/2; % N i.i.d. uniformly distributed random variables
% between -1/2 and 1/2.
Rx=Rx_est(X,M); % autocorrelation of the realization
Sx=fftshift(abs(fft(Rx))); % power spectrum of the realization
Rx_av=Rx_av+Rx; % sum of the autocorrelations
Sx_av=Sx_av+Sx; % sum of the spectrums
echo off ;
end;
echo on ;
Rx_av=Rx_av/10; % ensemble average autocorrelation
Sx_av=Sx_av/10; % ensemble average spectrum
% Plotting comments follow
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