JOURNAL OF COMMUNICATIONS (JCM)
ISSN : 1796-2021
Volume : 2    Issue : 3    Date : May 2007

Two Approaches for the Blind Identification of Cyclo-Stationary Signals Mixtures
Saloua Rhioui, Nadège Thirion-Moreau, and Eric Moreau
Page(s): 33-42
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Abstract
This article addresses the problem of the blind identification of the mixing matrix in the case of a
possibly under-determined instantaneous linear mixture of sources. The considered input signals
are cyclo-stationary processes with unknown cyclic frequencies. We propose a new method
consisting of the application of a particular linear operator on the correlation matrix of the
observations. Then, taking advantage of the properties of the above transformed matrix, a set of
rank-one matrices can be built. Combined with a classification procedure, it makes it possible to
estimate the different columns of the wanted mixing matrix. This approach is also compared with
the classical PARAFAC decomposition approach. Finally, computer simulations are provided in
order to illustrate the behavior and the usefulness of the two proposed approaches in the context of
digital communications.

Index Terms
Blind identification, under-determined mixtures, cyclo-stationary signals, second order statistics,
PARAFAC decomposition, classification.