A generalization of blind source separation algorithms for convolutive mixtures based on second-order statistics

Journal article
(Original article)


Publication Details

Author(s): Buchner H, Aichner R, Kellermann W
Journal: IEEE Transactions on Speech and Audio Processing
Publisher: Institute of Electrical and Electronics Engineers
Publication year: 2005
Volume: 13
Journal issue: 1
Pages range: 120-134
ISSN: 1063-6676
Language: English


Abstract


In this paper, we present a general broadband approach to blind source separation (BSS) for convolutive mixtures based on second-order statistics. This avoids several known limitations of the conventional narrowband approximation, such as the internal permutation problem. In contrast to traditional narrow-band approaches, the new framework simultaneously exploits the nonwhiteness property and nonstationarity property of the source signals. Using a novel matrix formulation, we rigorously derive the corresponding time-domain and frequency-domain broadband algorithms by generalizing a known cost-function which inherently allows joint optimization for several time-lags of the correlations. Based on the broadband approach time-domain, constraints are obtained which provide a deeper understanding of the internal permutation problem in traditional narrowband frequency-domain BSS. For both the time-domain and the frequency-domain versions, we discuss links to well-known, and also, to novel algorithms that constitute special cases. Moreover, using the so-called generalized coherence, links between the time-domain and the frequency-domain algorithms can be established, showing that our cost function leads to an update equation with an inherent normalization ensuring a robust adaptation behavior. The concept is applicable to offline, online, and block-online algorithms by introducing a general weighting function allowing for tracking of time-varying real acoustic environments.


FAU Authors / FAU Editors

Kellermann, Walter Prof. Dr.-Ing.
Professur für Nachrichtentechnik


How to cite

APA:
Buchner, H., Aichner, R., & Kellermann, W. (2005). A generalization of blind source separation algorithms for convolutive mixtures based on second-order statistics. IEEE Transactions on Speech and Audio Processing, 13(1), 120-134. https://dx.doi.org/10.1109/TSA.2004.838775

MLA:
Buchner, Herbert, Robert Aichner, and Walter Kellermann. "A generalization of blind source separation algorithms for convolutive mixtures based on second-order statistics." IEEE Transactions on Speech and Audio Processing 13.1 (2005): 120-134.

BibTeX: 

Last updated on 2019-05-06 at 17:28