Howtosignalprocessing
- What is cepstral domain?
- What is cepstrum used for?
- How can we obtain cepstrum of a speech signal?
- Why is cepstrum analysis used?
What is cepstral domain?
The Cepstral domain results from taking the Inverse Fourier Transform of the LOGARITHM of your Fourier spectrum (instead of your 'plain' Fourier spectrum). Hence it is on the 'real' side of the representations.
What is cepstrum used for?
The cepstrum is a representation used in homomorphic signal processing, to convert signals combined by convolution (such as a source and filter) into sums of their cepstra, for linear separation. In particular, the power cepstrum is often used as a feature vector for representing the human voice and musical signals.
How can we obtain cepstrum of a speech signal?
The real cepstrum of a signal x, sometimes called simply the cepstrum, is calculated by determining the natural logarithm of magnitude of the Fourier transform of x, then obtaining the inverse Fourier transform of the resulting sequence: c x = 1 2 π ∫ - π π log | X ( e j ω ) | e j ω n d ω .
Why is cepstrum analysis used?
Cepstrum Analysis is a tool for the detection of periodicity in a frequency spectrum, and seems so far to have been used mainly in speech analysis for voice pitch determination and related questions.
