📄 sp1.m
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randn('state',1);
noise = randn(50000,1); % Normalized white Gaussian noise
s = filter(1,[1 1/2 1/3 1/4 ],noise);
x = s(45904:50000);
[a,E] = lpc(x,10);
est_x = filter([0 -a(2:end)],1,x); % Estimated signal
e = x - est_x; % Prediction error
[acs,lags] = xcorr(e,'coeff');
figure(1)
plot(1:97,x(4001:4097),1:97,est_x(4001:4097),'--');
title('Original Signal vs. LPC Estimate');
xlabel('Sample Number'); ylabel('Amplitude'); grid;
legend('Original Signal','LPC Estimate')
figure(2)
plot(lags,acs);
title('Autocorrelation of the Prediction Error');
xlabel('Lags'); ylabel('Normalized Value'); grid;
acsFFT=fft(acs);
figure(3);
plot(1:length(acs),fftshift(abs(acsFFT)));
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