AN EXAMPLE OF THE CEPSTRUM FOR A VOWEL
Below is an example (from Noll) that demonstrates a typical cepstrum
sequence for a vowel. The cepstrum is computed every 10 msec.
From this example, we can see two important things:
- At the onset of the vowel, where the signal is not quite
periodic, the peak in the cepstrum at the fundamental frequency
is not well-formed. The amplitude of this peak grows as the
signal becomes more regular (periodic). The same phenomena
is true for the autocorrelation function.
- It is clear that the low order coefficients of the cepstrum
contain information about the vocal tract, while the higher order
coefficients contain primarily information about the excitation.
(Actually, the higher order coefficients contain both types of
information, but the frequency of periodicity dominates.)
Hence, for speech signals, it seems the vocal tract response
and the excitation signal can be separated using simple
windowing in the quefrency domain.