Cepstrum

Interpreting the cepstrum of a signal

Interpreting the cepstrum of a signal
  1. What is cepstrum of a signal?
  2. What is cepstrum analysis in vibration?
  3. How can we obtain cepstrum of a speech signal?
  4. What is cepstrum frequency?

What is cepstrum of a signal?

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.

What is cepstrum analysis in vibration?

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 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 .

What is cepstrum frequency?

Cepstrum of speech segment. The most visually prominent feature in this cepstrum is the peak near quefrency 7 ms. It corresponds to a fundamental frequency of 1000/(7 s) = 143 Hz.

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