Geometrical Structures of Fir Manifold and Their Application to Multichannel Blind Deconvolution

نویسندگان

  • L.-Q. Zhang
  • A. Cichocki
چکیده

In this paper we study geometrical structures on the manifold of FIR lters and their application to multichannel blind deconvolution First we introduce the Lie group and Riemannian metric to the manifold of FIR lters Then we derive the natu ral gradient on the manifold using the isometry of the Riemannian metric Using the natural gradient we present a novel learning algorithm for blind deconvolution based on the minimization of mutual information We also study properties of the learning algo rithm such as equivariance and stability Simulations are given to illustrate the e ectiveness and validity of the proposed algorithm

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تاریخ انتشار 1999