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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Multichannel Blind Deconvolution Using a Generalized Gaussian Source Model

by
A. S. Abu-Taleb
1,
E. M. E. Zayed
2,
W. M. El-Sayed
2,*,
A. M. Badawy
1 and
O. A. Mohammed
2,*
1
Dept. of System and Bioengineering, Faculty of Engineering, Cairo University, Egypt
2
Dept. of Mathematics, Faculty of Science, Zagazig University, Egypt
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2007, 12(1), 1-9; https://doi.org/10.3390/mca12010001
Published: 1 April 2007
Versions Notes

Abstract

In this paper, we present an algorithm for the problem of multi-channel blind deconvolution which can adapt to un-known sources with both sub-Gaussian and super-Gaussian probability density distributions using a generalized gaussian source model.
We use a state space representation to model the mixer and demixer respectively, and show how the parameters of the demixer can be adapted using a gradient descent algorithm incorporating the natural gradient extension. We also present a learning method for the unknown parameters of the generalized Gaussian source model. The
performance of the proposed generalized Gaussian source model on a typical example is compared with those of other algorithm, viz the switching nonlinearity algorithm
proposed by Lee et al. [8].
Keywords: blind deconvolution; blind source separation; generalized Gaussian source model; multichannel blind deconvolution blind deconvolution; blind source separation; generalized Gaussian source model; multichannel blind deconvolution

Share and Cite

MDPI and ACS Style

Abu-Taleb, A.S.; Zayed, E.M.E.; El-Sayed, W.M.; Badawy, A.M.; Mohammed, O.A. Multichannel Blind Deconvolution Using a Generalized Gaussian Source Model. Math. Comput. Appl. 2007, 12, 1-9. https://doi.org/10.3390/mca12010001

AMA Style

Abu-Taleb AS, Zayed EME, El-Sayed WM, Badawy AM, Mohammed OA. Multichannel Blind Deconvolution Using a Generalized Gaussian Source Model. Mathematical and Computational Applications. 2007; 12(1):1-9. https://doi.org/10.3390/mca12010001

Chicago/Turabian Style

Abu-Taleb, A. S., E. M. E. Zayed, W. M. El-Sayed, A. M. Badawy, and O. A. Mohammed. 2007. "Multichannel Blind Deconvolution Using a Generalized Gaussian Source Model" Mathematical and Computational Applications 12, no. 1: 1-9. https://doi.org/10.3390/mca12010001

APA Style

Abu-Taleb, A. S., Zayed, E. M. E., El-Sayed, W. M., Badawy, A. M., & Mohammed, O. A. (2007). Multichannel Blind Deconvolution Using a Generalized Gaussian Source Model. Mathematical and Computational Applications, 12(1), 1-9. https://doi.org/10.3390/mca12010001

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