Howtosignalprocessing
- How can we obtain cepstrum of a speech signal?
- What is cepstrum of a signal?
- What is cepstrum frequency?
- How cepstrum analysis can be used for pitch detection?
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 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 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.
How cepstrum analysis can be 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.
