Title
Wavelet packets approach to blind separation of statistically dependent sources
Abstract
Sub-band decomposition independent component analysis (SDICA) assumes that wide-band source signals can be dependent but some of their sub-components are independent. Thus, it extends applicability of standard independent component analysis (ICA) through the relaxation of the independence assumption. In this paper, firstly, we introduce novel wavelet packets (WPs) based approach to SDICA obtaining adaptive sub-band decomposition of the wideband signals. Secondly, we introduce small cumulant based approximation of the mutual information (MI) as a criterion for the selection of the sub-band with the least-dependent components. Although MI is estimated for measured signals only, we have provided a proof that shows that index of the sub-band with least dependent components of the measured signals will correspond with the index of the sub-band with least dependent components of the sources. Unlike in the case of the competing methods, we demonstrate consistent performance in terms of accuracy and robustness as well as computational efficiency of WP SDICA algorithm.
Year
DOI
Venue
2008
10.1016/j.neucom.2007.04.002
Neurocomputing
Keywords
Field
DocType
measured signal,wavelet packets,independent component analysis,dependent component,mutual information,sub-band decomposition independent component,computational efficiency,consistent performance,sub-band decomposition,standard independent component analysis,dependent source,wavelet packet,wp sdica algorithm,least-dependent component,adaptive sub-band decomposition,independence assumption,blind separation,cumulant
Wideband,Pattern recognition,Dependent source,Cumulant,Robustness (computer science),Mutual information,Independent component analysis,Artificial intelligence,Wavelet packet decomposition,Statistical assumption,Mathematics
Journal
Volume
Issue
ISSN
71
7-9
Neurocomputing
Citations 
PageRank 
References 
14
0.82
22
Authors
2
Name
Order
Citations
PageRank
Ivica Kopriva114616.60
Damir Seršić22810.43