A review of blind source separation methods: two converging routes to ILRMA originating from ICA and NMF

This paper describes several important methods for the blind source separation of audio signals in an integrated manner. Two historically developed routes are featured. One started from independent component analysis and evolved to independent vector analysis (IVA) by extending the notion of indepen...

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Bibliographic Details
Published in:APSIPA transactions on signal and information processing Vol. 8; no. 1
Main Authors: Sawada, Hiroshi, Ono, Nobutaka, Kameoka, Hirokazu, Kitamura, Daichi, Saruwatari, Hiroshi
Format: Journal Article
Language:English
Published: Hanover Now Publishers Inc 2019
Subjects:
Acoustics
Algorithms
Artificial intelligence
Audio signals
Convergence
Independent component analysis
Mathematical analysis
Matrix algebra
Matrix methods
Methods
Microphones
Neural networks
Principal components analysis
Separation
Signal processing
Speech
Vector analysis
ISSN:2048-7703, 2048-7703
Online Access:Get full text
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Summary:This paper describes several important methods for the blind source separation of audio signals in an integrated manner. Two historically developed routes are featured. One started from independent component analysis and evolved to independent vector analysis (IVA) by extending the notion of independence from a scalar to a vector. In the other route, nonnegative matrix factorization (NMF) has been extended to multichannel NMF (MNMF). As a convergence point of these two routes, independent low-rank matrix analysis has been proposed, which integrates IVA and MNMF in a clever way. All the objective functions in these methods are efficiently optimized by majorization-minimization algorithms with appropriately designed auxiliary functions. Experimental results for a simple two-source two-microphone case are given to illustrate the characteristics of these five methods.
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ISSN:2048-7703
2048-7703
DOI:10.1017/ATSIP.2019.5