ICA 2007

ICA 2007
7th International Conference on
Independent Component Analysis
and Signal Separation

London, UK        9 - 12 September 2007

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Paper No: 42

Non Unitary Joint Block Diagonalization of Complex Matrices Using a Gradient Approach

Author(s): Hicham Ghennioui, Nadege Thirion-Moreau, Eric Moreau, Abdellah Adib, Driss Aboutajdine

Abstract

This paper addresses the problem of the non-unitary approximate joint block diagonalization (NU-JBD) of matrices. Such a problem occurs in various felds of applications among which blind separation of convolutive mixtures of sources and wide-band signals array processing. We present a new algorithm for the non-unitary joint block- diagonalization of complex matrices based on a gradient-descent algorithm whereby the optimal step size is computed algebraically at each iteration as the rooting of a 3rd-degree polynomial. Computer simulations are provided in order to illustrate the effectiveness of the proposed algorithm

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