Howtosignalprocessing
- How do you calculate cepstrum?
- What is cepstrum analysis?
- How is cepstrum used for pitch detection?
- Why is cepstrum used?
How do you calculate cepstrum?
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 .
What is cepstrum analysis?
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.
How is cepstrum used for pitch detection?
Pitch detection is often done in the Cepstral domain because the Cepstral domain represents the frequency in the logarithmic magnitude spectrum of a signal. The Cepstrum is formed by taking the FFT (or IFFT) of log magnitude spectrum of a signal.
Why is cepstrum used?
The cepstrum had been used in speech analysis for determining voice pitch (by accurately measuring the harmonic spacing), but also for separating the formants (transfer function of the vocal tract) from voiced and unvoiced sources, and this led quite early to similar applications in mechanics.
