Fast communication: Cepstral domain interpretations of line spectral frequencies

Authors:
Hong Kook Kim;Seung Ho Choi
Affiliations:
Department of Information and Communications, Gwangju Institute of Science and Technology, Gwangju 500-712, Republic of Korea;Department of Electronic and Information Engineering, Seoul National University of Technology, 172 Gongneung-2Dong, Nowon-Gu, Seoul 139-743, Republic of Korea
Venue:
Signal Processing
Year:
2008

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Abstract

In this paper, we derive a relationship between a linear prediction (LP) polynomial and its corresponding line spectral frequencies (LSFs) in cepstral domain. We first obtain the cepstral representations of the symmetric and the antisymmetric polynomials constructed from the LP polynomial. The sum of these cepstra corresponds to the pseudo-cepstrum [H.K. Kim, S.H. Choi, H.S. Lee, On approximating line spectral frequencies to LPC cepstral coefficients, IEEE Trans. Acoust. Speech Audio Process. 8(2) (2000) 195-199]. Finally, LSFs can be computed by matching these two cepstra. Additionally, we derive the recursive relations between LSFs and the LPC coefficients, as well as between LSFs and LPC cepstral coefficients.