A Time Domain Blind Decorrelation Method of Convolutive Mixtures Based on an IIR Model

A Time Domain Blind Decorrelation Method of Convolutive Mixtures Based on an IIR Model

Year:    2010

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 371–385

Abstract

We study a time domain decorrelation method of source signal separation from convolutive sound mixtures based on an infinite impulse response (IIR) model. The IIR model uses fewer parameters to capture the physical mixing process and is useful for finding low dimensional separating solutions. We present inversion formulas to decorrelate the mixture signals and derive filter equations involving second order time lagged statistics of mixtures. We then formulate an $l_1$ constrained minimization problem and solve it by an iterative method. Numerical experiments on recorded sound mixtures show that our method is capable of sound separation in low dimensional parameter spaces with good perceptual quality and low correlation coefficient comparable to the known infomax method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2009.10-m2900

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 371–385

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Blind Decorrelation Convolutive Mixtures IIR Modeling $l_1$ Constrained Minimization.