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Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank- $(L_r,L_r,1)$Terms
by
De Lathauwer, Lieven
in
Algebra
/ Decomposition
/ Exact sciences and technology
/ Linear and multilinear algebra, matrix theory
/ Mathematics
/ Numerical analysis
/ Numerical analysis. Scientific computation
/ Numerical linear algebra
/ Polynomials
/ Sciences and techniques of general use
/ Signal processing
/ System theory
2011
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Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank- $(L_r,L_r,1)$Terms
by
De Lathauwer, Lieven
in
Algebra
/ Decomposition
/ Exact sciences and technology
/ Linear and multilinear algebra, matrix theory
/ Mathematics
/ Numerical analysis
/ Numerical analysis. Scientific computation
/ Numerical linear algebra
/ Polynomials
/ Sciences and techniques of general use
/ Signal processing
/ System theory
2011
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Do you wish to request the book?
Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank- $(L_r,L_r,1)$Terms
by
De Lathauwer, Lieven
in
Algebra
/ Decomposition
/ Exact sciences and technology
/ Linear and multilinear algebra, matrix theory
/ Mathematics
/ Numerical analysis
/ Numerical analysis. Scientific computation
/ Numerical linear algebra
/ Polynomials
/ Sciences and techniques of general use
/ Signal processing
/ System theory
2011
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Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank- $(L_r,L_r,1)$Terms
Journal Article
Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank- $(L_r,L_r,1)$Terms
2011
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Overview
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.
Publisher
Society for Industrial and Applied Mathematics
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