A polynomial approach to the blind multichannel deconvolution problem

Mamadou Mboup, Maria D. Miranda

DOI: 10.14209/its.2002.436

Evento: 2002 International Telecommunications Symposium (ITS2002)

Keywords:

Abstract

"We propose an algebraic approach to the blind single-input multiple-outputs deconvolution problem. The approach uses an input-output system identification, and then solves directly the Bezout equation which underlies the deconvolution problem. Important enough, the proposed approach allows one to solve the Bezout identity based on the single knowledge of the channel’s output and, this holds true even in a noisy setting. The system identification step admits a straightforward interpretation in terms of spatial and temporal linear prediction. An important feature of the approach is that the number of nonzero terms in the channel-equalizer combined response does not exceed the difference between the channel and the equalizer orders. For the overmodeled case this combined response vanishes. Moreover, a method to blindly identify the channel as the minimum polynomial basis of a certain subspace may be deduced from this approach. A link with subspace and least squares methods is thus straightforward."

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