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 |
