Moment of cepstrum and its applications

Author

Khare, Anil ; Yoshikawa, Toshinori

Author_Institution

Dept. of Electr. & Electron. Eng., Nagaoka Univ. of Technol., Niigata, Japan

Volume

40

Issue

11

fYear

1992

fDate

11/1/1992 12:00:00 AM

Firstpage

2692

Lastpage

2702

Abstract

It is shown that the moments of a signal sequence and of its corresponding cepstral sequence are related in a way which obviates the need for the direct calculation of the cepstral coefficients. Hence, an ideal calculation for the moments of the cepstrum is possible even if the duration of the cepstrum is infinite. It is also possible to describe all the properties of a signal sequence from its moments. The effectiveness of this method is demonstrated in the problems of homomorphic deconvolution and echo removal. It is also shown that in linear filtering problems, the moments of the minimum-phase sequence are calculated from the corresponding linear-phase sequence without actually calculating the minimum-phase sequence. For a discrete-time real signal sequence with finite duration, complete equivalence is demonstrated between the signal sequence and its moments. This permits a new description and a new set of design specifications based on moments for such systems

Keywords

signal processing; spectral analysis; cepstral sequence; discrete-time real signal sequence; echo removal; homomorphic deconvolution; linear filtering; linear-phase sequence; minimum-phase sequence; moments; signal processing; signal sequence; Cepstral analysis; Cepstrum; Fast Fourier transforms; Finite impulse response filter; Image sequence analysis; Nonlinear filters; Pattern recognition; Signal processing; Signal processing algorithms; Wrapping;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.165656

Filename

165656