BLIND SEPARATION OF COMPLEX-VALUED MIXTURES: SPARSE REPRESENTATION IN POLAR AND CARTESIAN SCATTER-PLOTS (MonPmOR1)

Author(s) : Ehud Orian (Technion - Israel Institute of Technology, Israel) Yehoshua Y. Zeevi (Technion - Israel Institute of Technology, Israel)

Abstract : This study is concerned with reconstruction of complex-valued components comprising a linear mixing model of unknown real-valued sources, given a set of their complex-valued mixtures. We adopt previous results in the area of Blind Source Separation (BSS) of linear mixtures, based on sparse representation by means of a multiscale framework such as wavelet packets, and exploit the properties of sparse representation obtained by projection onto a proper space. We propose two techniques, developed for dealing with complex-valued mixtures of real sources and incorporate sparsity-dependent clustering via projection onto a proper space; one onto polar coordinates, and the other onto cartesian coordinates. We describe various aspects of the proposed techniques, and present an experiment of noisy mixtures of images.

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