NDLI: Blind source separation of speech sources in wavelet packet domains using Laplacian mixture model expectation maximization estimation in overcomplete cases

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Blind source separation of speech sources in wavelet packet domains using Laplacian mixture model expectation maximization estimation in overcomplete cases

Content Provider	Scilit
Author	Mozaffari, Behzad Tinati, Mohammad A.
Copyright Year	2007
Description	Journal: Journal of Statistical Mechanics: Theory and Experiment Speech processing has benefited a great deal from wavelet transforms. Wavelet packets decompose signals into broader components using linear spectral bisecting. The mixing matrix is the key issue in the blind source separation literature especially in underdetermined cases (more sources than sensors). In this paper, algorithms are proposed for estimating the mixing matrix and separation of speech signals from noise free linear mixtures in overcomplete cases. Mixtures of speech signals are decomposed using wavelet packets, the phase difference between the two mixtures is defined and used in the wavelet domain, and histograms of phase differences are obtained for every wavelet packet. In our method, the Laplacian mixture model is considered in the wavelet packet domain, and is applied to each histogram of packets. An expectation maximization algorithm is used to train the model and calculate the model parameters. We also propose a novel method for obtaining the best wavelet packet node for finding source directions in scatter plots using variance calculations. A comparison is made to evaluate the performances of different mother wavelets in the estimation of the mixing matrix and the best wavelet has been chosen. On the basis of the geometrical model, a two-step adaptive algorithm is proposed for separating sources from mixtures.
Related Links	http://iopscience.iop.org/article/10.1088/1742-5468/2007/02/P02004/pdf
Ending Page	P02004
Page Count	1
Starting Page	P02004
ISSN	17425468
e-ISSN	17425468
DOI	10.1088/1742-5468/2007/02/p02004
Journal	Journal of Statistical Mechanics: Theory and Experiment
Issue Number	2
Volume Number	2007
Language	English
Publisher	IOP Publishing
Publisher Date	2007-02-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Statistical Mechanics: Theory and Experiment Acoustics and Ultrasonics Wavelet Packet Mixture Model Mixing Matrix Overcomplete Cases
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistical and Nonlinear Physics Statistics, Probability and Uncertainty

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