Sparse component analysis and blind source separation of underdetermined mixtures

Pando Georgiev; Fabian Theis; Andrzej Cichocki

doi:10.1109/TNN.2005.849840

Sparse component analysis and blind source separation of underdetermined mixtures

Pando Georgiev
, Fabian Theis
, Andrzej Cichocki

Research output: Contribution to journal › Article › peer-review

348 Scopus citations

Abstract

In this letter, we solve the problem of identifying matrices S ∈ ℝ^n×N and A ∈ ℝ^m×n knowing only their multiplication X = AS, under some conditions, expressed either in terms of A and sparsity of S (identifi-ability conditions), or in terms of X (sparse component analysis (SCA) conditions). We present algorithms for such identification and illustrate them by examples.

Original language	English
Pages (from-to)	992-996
Number of pages	5
Journal	IEEE Transactions on Neural Networks
Volume	16
Issue number	4
DOIs	https://doi.org/10.1109/TNN.2005.849840
State	Published - Jul 2005
Externally published	Yes

Keywords

Blind source separation (BSS)
Sparse component analysis (SCA)
Underdetermined mixtures

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10.1109/TNN.2005.849840

Cite this

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AU - Theis, Fabian

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N2 - In this letter, we solve the problem of identifying matrices S ∈ ℝn×N and A ∈ ℝm×n knowing only their multiplication X = AS, under some conditions, expressed either in terms of A and sparsity of S (identifi-ability conditions), or in terms of X (sparse component analysis (SCA) conditions). We present algorithms for such identification and illustrate them by examples.

AB - In this letter, we solve the problem of identifying matrices S ∈ ℝn×N and A ∈ ℝm×n knowing only their multiplication X = AS, under some conditions, expressed either in terms of A and sparsity of S (identifi-ability conditions), or in terms of X (sparse component analysis (SCA) conditions). We present algorithms for such identification and illustrate them by examples.

KW - Blind source separation (BSS)

KW - Sparse component analysis (SCA)

KW - Underdetermined mixtures

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JO - IEEE Transactions on Neural Networks

JF - IEEE Transactions on Neural Networks

IS - 4

ER -

Sparse component analysis and blind source separation of underdetermined mixtures

Abstract

Keywords

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