Linear transformation from full-band to sub-band cepstrum

Frantz Clermont

Friday, December 16th, 2022, 11.45am – 12.15pm


This paper demonstrates the possibility of estimating the cepstrum for a sub-band region of the full-band spectrum by a linear transformation of the full-band cepstrum. The parametric formulation of the transformation allows the selection of any sub-band within the full-band’s frequency range. The result of the transformation is a Fourier series of band-limited cepstral coefficients (BLCCs) representing the selected sub-band. In practice, the upper bound of the BLCC series may be fixed at (𝑀×𝑊) without significant loss in spectral resolution, where 𝑀 is the number of full-band coefficients, and 𝑊 is the fraction of the full-band spectrum occupied by the sub-band’s width.