Blind Deconvolution of Multi-Input Single-Output Systems Using the Distribution of Point Distances

Authors:
Konstantinos Diamantaras;Theophilos Papadimitriou
Affiliations:
Department of Informatics, TEI of Thessaloniki, Sindos, Greece 57400;Department of International Economic Relations & Development, Democritus University of Thrace, Komotini, Greece 69100
Venue:
Journal of Signal Processing Systems
Year:
2011

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Abstract

In this paper we present a new blind identification and source separation method for linear Multi Input Single Output (MISO) convolutive systems driven by PAM sources. Our method is based on the estimation of the output difference distribution for pairs of outputs. We show that the most likely differences (not counting the zero difference) are the ones corresponding to the columns of the mixing matrix (upto a sign). The columns can be arranged in the correct order by using the block-Toeplitz property of the transfer matrix. Thus the problem is transformed into the density estimation problem. The method is conceptually simple and can work with relatively small data sets although it is exponentially complex with the channel length or the number of input signals.