📄 ip_02_09.m
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% MATLAB script for Illustrative Problem 9, Chapter 2.N=1000; % The maximum value of nM=50;Rxav=zeros(1,M+1);Ryav=zeros(1,M+1);Sxav=zeros(1,M+1);Syav=zeros(1,M+1);for i=1:10, % take the ensemble average ove 10 realizations X=rand(1,N)-(1/2); % Generate a uniform number sequence on (-1/2,1/2) Y(1)=0; for n=2:N, Y(n)=0.9*Y(n-1)+X(n); end; % note that Y(n) means Y(n-1) Rx=Rx_est(X,M); % Autocorrelation of {Xn} Ry=Rx_est(Y,M); % Autocorrelation of {Yn} Sx=fftshift(abs(fft(Rx))); % Power spectrum of {Xn} Sy=fftshift(abs(fft(Ry))); % Power spectrum of {Yn} Rxav=Rxav+Rx; Ryav=Ryav+Ry; Sxav=Sxav+Sx; Syav=Syav+Sy; echo off ;end;echo on ;Rxav=Rxav/10;Ryav=Ryav/10;Sxav=Sxav/10;Syav=Syav/10;% Plotting commands follow
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