Uniqueness of complex and multidimensional independent component analysis

نویسنده

  • Fabian J. Theis
چکیده

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 coe4cients. Furthermore, the multivariate Darmois–Skitovitch theorem is used to show uniqueness of multidimensional ICA, where only groups of sources are mutually independent. ? 2004 Elsevier B.V. All rights reserved. PACS: 84.40.Ua; 89.70.+c; 07.05.Kf

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عنوان ژورنال:
  • Signal Processing

دوره 84  شماره 

صفحات  -

تاریخ انتشار 2004