Electron. J. Math. Phys. Sci., 2002, 1,1, 92-103

 

 

A FAST ALGORITHM FOR BLIND CHANNEL IDENTIFICATION

 

Michael K. Ng

Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, E-mail: mng@maths.hku.hk

Received: 26 June 2002/ Accepted: 15 July 2002/ Published: 22 August 20002

Abstract: In this paper, we address the problem of restoring a signal from its noisy convolutions with two unknown channels. When the transfer functions of these two channels have no common factors, the blind channel identification problem can be solved by finding the minimum eigenvalue of the Toeplitz-block matrix and its corresponding eigenvector. We present a fast algorithm to solve the numerical solution of the eigenvalue problem for Toeplitz-block matrices. Experimental results are given to illustrate the effectiveness of the method.

 

Keywords: Blind channel identification, Toeplitz-block matrix, eigenvalues

AMS Mathematical Subject Classification: 65F10, 65Y20

 

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