Title
A generalization of blind source separation algorithms for convolutive mixtures based on second order statistics
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 narrowband 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 behaviour. 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.
Year
DOI
Venue
2005
10.1109/TSA.2004.838775
IEEE Transactions on Speech and Audio Processing
Keywords
Field
DocType
acoustic signal processing,blind source separation,frequency-domain analysis,optimisation,statistical analysis,time-domain analysis,blind source separation algorithm,convolutive mixture,correlation time-lag,cost function,frequency-domain broadband algorithm,internal permutation problem,joint optimization,matrix formulation,second-order statistics,signal nonstationarity property,signal nonwhiteness property,time-domain broadband algorithm,time-varying real acoustic environment
Weighting,Narrowband,Normalization (statistics),Computer science,Generalization,Permutation,Algorithm,Speech recognition,Adaptive filter,Statistics,Blind signal separation,Source separation
Journal
Volume
Issue
ISSN
13
1
1063-6676
Citations 
PageRank 
References 
101
6.60
18
Authors
3
Search Limit
100101
Name
Order
Citations
PageRank
Herbert Buchner143540.57
Robert Aichner220816.18
W. Kellermann368671.03