Howtosignalprocessing
- Why do we use cepstrum?
- What is Cepstral analysis of speech?
- How can we obtain cepstrum of a speech signal?
Why do we use cepstrum?
It serves as a tool to investigate periodic structures in frequency spectra. Such effects are related to noticeable echos or reflections in the signal, or to the occurrence of harmonic frequencies (partials, overtones). Mathematically it deals with the problem of deconvolution of signals in the frequency space.
What is Cepstral analysis of speech?
The Cepstral Analysis is a tool for detecting periodicity in the frequency spectrum and it is mainly used in pitch detection, radar and sonar applications, speech analysis, and diagnostics.
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 .
