As I know, we can get the cepstrum by taking the Inverse Discrete Fourier Transform (IDFT) of the log of the power spectrum.

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And we can get the Mel-frequency cepstral coefficients (MFCCs) by taking the Discrete Cosine Transform (DCT) of the log filterbank energies.

But I didn't understand the following two points:

  • Why do we use the term "cepstral" in MFCCs when we use DCT instead of IDFT?

  • How does MFCCs relate to the cepstral domain according to the reference here?

  • $\begingroup$ Can you please have a look at this as cited in this and then perhaps amend the question with further points that may have remained unclear? $\endgroup$
    – A_A
    Jan 28 '20 at 10:56
  • 1
    $\begingroup$ Take a look here. DCT can be treated as an IDFT in this case. $\endgroup$
    – jojek
    Jan 28 '20 at 11:16

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