학술논문

Separation of mixed phase signals by zeros of the z-transform - A reformulation of complex cepstrum based separation by causality
Document Type
Conference
Source
2010 IEEE International Conference on Acoustics, Speech and Signal Processing Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on. :5050-5053 Mar, 2010
Subject
Bioengineering
Communication, Networking and Broadcast Technologies
Computing and Processing
Signal Processing and Analysis
Cepstrum
Speech
Filters
Polynomials
Humans
Larynx
Shape
Deconvolution
Cepstral analysis
Source separation
Zeros of the z-transform
complex cepstrum
mixed phase separation
Language
ISSN
1520-6149
2379-190X
Abstract
In recent studies, a non-parametric speech waveform representation (rep.) based on zeros of the z-transform (ZZT) has been proposed. The ZZT rep. has successfully been applied in separating mixed phase signals, e.g. pitch-synchronously windowed speech, into min/max phase by using the unit circle as discriminant. As the ZZT rep. is obtained by factorization of the z-transform, relations to the complex cepstrum (CC) exist. The present paper interrelates the ZZT rep. with the CC via factorization of the z-transform, and demonstrates that unit circle discrimination of a ZZT rep. can be formulated as a CC based separation by causality. A numerical experiment supplements theory by separating a range of LF glottal flow waveforms into their opening and closing phase constituents. Further, randomized mixed phase sequences are separated. As the CC based separation also can be obtained via FFT it has a lower time and space complexity than the ZZT based counterpart.