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Uniqueness of real and complex linear independent component analysis revisited

Theis, F. (2004) Uniqueness of real and complex linear independent component analysis revisited. In: Hlawatsch, Franz, (ed.) Proceedings / XII. European Signal Processing Conference, EUSIPCO 2004: September 6 - 10, 2004, Vienna, Austria. TU Wien, Wien, pp. 1705-1708. ISBN 3-200-00148-8 (Buch), 3-200-00165-8 (CD-ROM).

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Other URL: http://homepages.uni-regensburg.de/~thf11669/publications/theis04complexUniquenessDirect_EUSIPCO04.pdf


Abstract

Comon showed using the Darmois-Skitovitch theorem that under mild assumptions a real-valued random vector and its linear image are both independent if and only if the linear mapping is the product of a permutation and a scaling matrix. In this work, a much simpler, direct proof is given for this theorem and generalized to the case of random vectors with complex values. The idea is based on the ...

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Item Type:Book Section
Date:2004
Institutions:Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang
Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang > Arbeitsgruppe Dr. Fabian Theis
Projects:Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht
Subjects:500 Science > 530 Physics
500 Science > 570 Life sciences
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Redakteur Physik
Deposited On:20 Mar 2007
Last Modified:12 Oct 2010 09:05
Item ID:1617
Owner Only: item control page
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