Speech deconvolution as an inverse problem

Authors:
Marwa A. Abd El-Fattah;Moawad I. Dessouky;Salaheldin M. Diab;Waleed Al-Nuaimy;Fathi E. Abd El-Samie
Affiliations:
Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt 32952;Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt 32952;Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt 32952;Department of Electrical Engineering and Electronics, University of Liverpool, Liverpool, UK L69 3GJ;Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt 32952
Venue:
International Journal of Speech Technology
Year:
2011

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Abstract

In this paper, the problem of speech deconvolution is solved. This problem is encountered in limited-bandwidth speech communication systems such as telephone systems. Three solutions are presented for this problem. In the first solution, a Linear Minimum Mean Square Error (LMMSE) approach is used. The necessary assumptions required to reduce the computational complexity of the LMMSE solution are presented. In the second solution, an inverse filter deconvolution approach is presented. Finally, the regularization theory is used to solve this problem. The common thread between all these solutions is that they treat the speech deconvolution problem as an inverse problem considering the speech degradation model. Simulation results reveal the superiority of these solutions for solving the speech deconvolution problem.