cepstrum

A cepstrum (pronounced ) is the result of taking the Fourier transform (FT) of the decibel spectrum as if it were a signal. Its name was derived by reversing the first four letters of "spectrum". There is a complex cepstrum and a real cepstrum.The cepstrum was defined in a 1963 paper (Bogert et al.). It may be definedverbally: the cepstrum (of a signal) is the Fourier transform of the logarithm (with unwrapped phase) of the Fourier transform (of a signal). Sometimes called the spectrum of a spectrum.mathematically: cepstrum of signal = FT(log(FT(the signal))+j2πm) (where m is the integer required to properly unwrap the angle or imaginary part of the complex log function)algorithmically: signal → FT → log →  phase unwrapping → FT → cepstrum
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<mathematics> (Coined in a 1963 paper by Bogert, Healey, and Tukey) The Fourier transform of the log-magnitude spectrum:
fFt(ln( | fFt(window . signal) | ))
This function is used in speech recognition and possibly elsewhere. Note that the outer transform is NOT an inverse Fourier transform (as reported in many respectable DSP texts).
[What's it for?]
(1997-01-07)

cepstrum

B: (Fisika) kepstrum
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