Howtosignalprocessing
- What is the complex cepstrum?
- How cepstrum analysis can be used for pitch detection?
- What is Cepstral analysis of speech?
- What is Cepstral domain?
What is the complex cepstrum?
The complex cepstrum of a sequence x is calculated by finding the complex natural logarithm of the Fourier transform of x, then the inverse Fourier transform of the resulting sequence: x ˆ = 1 2 π ∫ - π π log [ X ( e j ω ) ] e j ω n d ω .
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.
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.
What is Cepstral domain?
The Cepstral domain results from taking the Inverse Fourier Transform of the LOGARITHM of your Fourier spectrum (instead of your 'plain' Fourier spectrum). Hence it is on the 'real' side of the representations.
