Three easy ways for separating nonlinear mixtures?

Authors:
Christian Jutten;Massoud Babaie-Zadeh;Shahram Hosseini
Affiliations:
Laboratoire des Images et des Signaux (CNRS UMR No. 5083), INPG-46, Avenue Félix Viallet, 38031 Grenoble Cedex, France;Laboratoire des Images et des Signaux (CNRS UMR No. 5083), INPG-46, Avenue Félix Viallet, 38031 Grenoble Cedex, France and Electrical Engineering Department, Sharif University of Technology, ...;Laboratoire des Images et des Signaux (CNRS UMR No. 5083), INPG-46, Avenue Félix Viallet, 38031 Grenoble Cedex, France and Laboratoire d'Acoustique, Métrologie, Instrumentation, Universi ...
Venue:
Signal Processing - Special issue on independent components analysis and beyond
Year:
2004

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Abstract

In this paper, we consider the nonlinear Blind Source Separation BSS and independent component analysis (ICA) problems, and especially uniqueness issues, presenting some new results. A fundamental difficulty in the nonlinear BSS problem and even more so in the nonlinear ICA problem is that they are nonunique without a suitable regularization. In this paper, we mainly discuss three different ways for regularizing the solutions, that have been recently explored.