Multichannel Blind Deconvolution Using a Generalized Gaussian Source Model
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
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].
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].
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 StyleAbu-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
