NDLI: Relationships between instantaneous blind source separation and multichannel blind deconvolution

Content Provider	IEEE Xplore Digital Library
Author	Sabala, I. Cichocki, A. Amari, S.-I.
Copyright Year	1998
Description	Author affiliation: Warsaw Univ. of Technol., Poland (Sabala, I.)
Abstract	We present a general algebraic approach to an extended dynamic independent component analysis (EDICA) for multichannel blind signal separation/deconvolution. Precise algebraic equivalence and direct analogies between instantaneous blind source separation (BSS) and dispersive (dynamic) blind signal separation/deconvolution (referred to also as multichannel blind deconvolution, MBD) problems are shown, as well as, the equivalence of the problem in the time domain and the Z-transform domain. For circular convolution the equivalence (analogy) is precise for finite length time series, while for linear convolution such analogy is valid only in the asymptotic sense for infinite length series. Elegant and concise derivation of learning algorithms in the time domain is presented using the algebraic properties of the convolution operator and relationships between convolution and cross-correlation. Using this general concept, unsupervised learning algorithms (both batch and online algorithms) are developed for multichannel blind deconvolution/separation problems. Computer simulation experiments confirm validity and high performance of the proposed algorithms. The proposed approach and some automatic rules can be applied not only to the known, already existing algorithms for blind separation and extraction of sources but we hope could be also used for extension and generalisation of learning rules developed in future.
Starting Page	39
Ending Page	44
File Size	596067
Page Count	6
File Format	PDF
ISBN	0780348591
ISSN	10987576
DOI	10.1109/IJCNN.1998.682233
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-05-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Blind source separation Deconvolution Signal processing algorithms Convolution Independent component analysis Dispersion Signal processing Source separation Computer simulation Algebra
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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