Howtosignalprocessing
- How do you calculate cepstrum?
- What is cepstrum analysis?
- What happens when a string is plucked?
- How is cepstrum used for pitch detection?
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 analysis?
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 happens when a string is plucked?
When a guitar string is plucked, the string vibrates and creates sound. The length of the string determines its fundamental frequency of vibration.
How is cepstrum 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.
