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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2007 E90-A(6):1133-1143; doi:10.1093/ietfec/e90-a.6.1133
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Copyright © 2007 The Institute of Electronics, Information and Communication Engineers

Regular Section -- Papers -- Systems and Control

Blind Identification for Systems Non-Invertible at Infinity

Jani EVEN1,2 and Kenji SUGIMOTO1

1 The authors are with the Graduate School of Information Science, Nara Institute of Science and Technology, Ikoma-shi, 630–0192 Japan. E-mail: kenji{at}is.naist.jp, 2 Supported by JSPS post doctoral fellowship program.


  Abstract

This paper presents a method for blind identification of a system whose transfer matrix is non-invertible at infinity, based on independent component analysis. In the proposed scheme, the transfer matrix to be identified is pre-multiplied by an appropriate polynomial matrix, named interactor, in order to compensate the row relative degrees and obtain a biproper system. It is then pre-multiplied by a demixing matrix via an existing approximate method. Both of these matrices are estimated blindly, i.e. with the input signals being unknown. The identified system is thus obtained as the inverse of the multiplication of these matrices.

Key Words: blind identification, independent component analysis, polynomial matrix interactor

Manuscript received March 17, 2006. Manuscript revised October 16, 2006. Final manuscript received March 1, 2007.


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