TY - JOUR
T1 - Cepstral domain interpretations of line spectral frequencies
AU - Kim, Hong Kook
AU - Choi, Seung Ho
PY - 2008/3
Y1 - 2008/3
N2 - 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.
AB - 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.
KW - Cepstral coefficient
KW - Cepstral conversion
KW - Line spectral frequency (LSF)
KW - Pseudo-cepstrum
UR - http://www.scopus.com/inward/record.url?scp=36049028392&partnerID=8YFLogxK
U2 - 10.1016/j.sigpro.2007.09.005
DO - 10.1016/j.sigpro.2007.09.005
M3 - Article
AN - SCOPUS:36049028392
SN - 0165-1684
VL - 88
SP - 756
EP - 760
JO - Signal Processing
JF - Signal Processing
IS - 3
ER -