Cepstrum

Cepstrum of finite impulse train

Cepstrum of finite impulse train
  1. How do you calculate cepstrum?
  2. What is cepstrum used for?
  3. Why is cepstrum analysis used?
  4. What is Cepstral analysis?

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 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.

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.

What is Cepstral analysis?

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.

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