Penalty function-based joint diagonalization approach for convolutive blind separation of non-stationary sources

Wang, Wenwu, Sanei, Saeid and Chambers, Jonathon A 2005. Penalty function-based joint diagonalization approach for convolutive blind separation of non-stationary sources. IEEE Transactions on Signal Processing 53 (5) , pp. 1654-1669. 10.1109/TSP.2005.845433

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Abstract

Abstract—A new approach for convolutive blind source separation (BSS) by explicitly exploiting the second-order nonstationarity of signals and operating in the frequency domain is proposed. The algorithm accommodates a penalty function within the cross-power spectrum-based cost function and thereby converts the separation problem into a joint diagonalization problem with unconstrained optimization. This leads to a new member of the family of joint diagonalization criteria and a modification of the search direction of the gradient-based descent algorithm. Using this approach, not only can the degenerate solution induced by a null unmixing matrix and the effect of large errors within the elements of covariance matrices at low-frequency bins be automatically removed, but in addition, a unifying view to joint diagonalization with unitary or nonunitary constraint is provided. Numerical experiments are presented to verify the performance of the new method, which show that a suitable penalty function may lead the algorithm to a faster convergence and a better performance for the separation of convolved speech signals, in particular, in terms of shape preservation and amplitude ambiguity reduction, as compared with the conventional second-order based algorithms for convolutive mixtures that exploit signal nonstationarity.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering
Uncontrolled Keywords:	Blind source separation ; convolutive mixtures ; frequency domain ; orthogonal/nonorthogonal constraints ; penaltyfunction ; speech signals.
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	1053-587X
Last Modified:	31 Jan 2020 06:19
URI:	https://orca.cardiff.ac.uk/id/eprint/1925

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