Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank-$(L_r,L_r,1)$ Terms
Abstract
We present a new necessary and sufficient condition for essential uniqueness of the decomposition of a third-order tensor in rank-$(L_r,L_r,1)$ terms. We derive a new deterministic technique for blind signal separation that relies on this decomposition. The method assumes that the signals can be modeled as linear combinations of exponentials or, more generally, as exponential polynomials. The results are illustrated by means of numerical experiments.
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Information & Authors
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Published In
SIAM Journal on Matrix Analysis and Applications
Pages: 1451 - 1474
DOI: 10.1137/100805510
ISSN (online): 1095-7162
Copyright
Copyright © 2011 Society for Industrial and Applied Mathematics.
History
Submitted: 16 August 2010
Accepted: 13 September 2011
Published online: 8 December 2011
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