Multichannel Blind Deconvolution Using the Conjugate Gradient

Authors:
Bin Xia
Affiliations:
Department of Electronic Engineering, Shanghai Maritime University, Shanghai, China 200135 and College of Electronics and Information Engineering, Tongji University, Shanghai, China 200065
Venue:
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
Year:
2009

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Abstract

In this paper, we propose a conjugate gradient based algorithm for blind deconvolution. In general, blind deconvolution algorithms suffer from the speed of convergence. We make a further study of the geometrical structures on the manifold of finite impulse response (FIR) filters using lie group method. We derive the expressions of geodesic and parallel translation on the manifold of FIR filters. Using mutual information criteria, a feasible cost function is derived for blind deconvolution problem. Then we develop a conjugate gradient algorithm for multichannel blind deconvolution problem in finite impulse response (FIR) manifold. Computer simulations show the validity and effectiveness of this approach.