What is cepstrum?

Cepstrum is a mathematical tool used in signal processing and analysis. It is derived from the word "spectrum" by reversing the order of the letters, and is commonly used in speech processing and audio analysis.

Cepstrum is obtained by taking the Fourier transform of the logarithm of the magnitude of the Fourier transform of a signal. This process helps to separate the information about the signal's overall shape and structure from the details of its individual components.

Cepstrum analysis is often used in speech processing to extract features such as pitch, formants, and other characteristics of the speech signal. It is also used in areas such as music analysis, seismic signal processing, and image processing.

Cepstrum can be used to analyze signals in both the time domain and the frequency domain, making it a versatile tool for a wide range of applications in signal processing and analysis.