Paper No: 73
An Algebraic
Non Orthogonal Joint Block Diagonalization Algorithm for Blind
Source Separation of Convolutive Mixtures of Sources
Author(s): Hicham
Ghennioui, El Mostafa Fadaili, Nadege Thirion-Moreau,
Abdellah Adib, Eric Moreau
Abstract
This paper deals with the problem of the blind separation of convolutive mixtures
of sources. We present a novel method based on a new non orthogonal joint
block diagonalization algorithm (NO−JBD)
of a given set of matrices. The main advantages of the proposed method
are that it is more general and a preliminary whitening stage is no more
compulsorily required. The proposed joint block diagonalization algorithm
is based on the algebraic optimization of a least mean squares
criterion. Computer simulations are provided in order to illustrate the
effectiveness of the proposed approach in three cases: when exact blockdiagonal
matrices are considered, then when they are progressively perturbed
by an additive Gaussian noise and finally when estimated correlation
matrices are used. A comparison with a classical orthogonal joint
block-diagonalization algorithm is also performed, emphasizing the good
performances of the method |
