Uniqueness of complex and multidimensional independent component analysis

Theis, Fabian J. (2004) Uniqueness of complex and multidimensional independent component analysis. SIGNAL PROCESSING, 84 (5). pp. 951-956. ISSN 0165-1684, 1879-2677

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Abstract

A complex version of the Darmois-Skitovitch theorem is proved using a multivariate extension of the latter by Ghurye and Olkin. This makes it possible to calculate the indeterminacies of independent component analysis (ICA) with complex variables and coefficients. Furthermore, the multivariate Darmois-Skitovitch theorem is used to show uniqueness of multidimensional ICA, where only groups of sources are mutually independent. (C) 2004 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: BLIND SEPARATION; complex ICA; multidimensional ICA; separability
Subjects: 500 Science > 570 Life sciences
Divisions: Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang > Arbeitsgruppe Dr. Fabian Theis
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Jul 2021 07:15
Last Modified: 21 Jul 2021 07:15
URI: https://pred.uni-regensburg.de/id/eprint/37728

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