Inverse complex cepstrum
Inverse Complex Cepstrum of Echo
Generate a sine of frequency 45 Hz, sampled at 100 Hz. Add an echo with half the amplitude and 0.2 s later. Compute the complex cepstrum of the signal.
Fs = 100; t = 0:1/Fs:1.27; s1 = sin(2*pi*45*t); s2 = s1 + 0.5*[zeros(1,20) s1(1:108)]; c = cceps(s2);
Compute the inverse complex cepstrum. Plot the echo data and its inverse complex cepstrum.
x = icceps(c); plot(t,s2,t,x,'r--') xlabel('Time (s)') legend('Echo signal','Inverse complex cepstrum')
xhat — Data sequence
Data sequence, specified as a real vector. If
xhat was obtained
cceps, then the amount of delay that was added to
x was the element of
round(unwrap(angle(fft(x)))/pi) corresponding to
nd — Number of samples of delay
real positive scalar
Number of samples of delay, specified as a real positive scalar.
x — Inverse complex cepstrum
Inverse complex cepstrum, returned as a vector.
 Oppenheim, A.V., and R.W. Schafer, Discrete-Time Signal Processing, Prentice-Hall, 1989.