Probabilistic geometric approach to blind separation of time-varying mixtures

  • Authors:
  • Ran Kaftory;Yehoshua Y. Zeevi

  • Affiliations:
  • Technion-Israel Institute of Technology, Department of Electrical Engineering, Haifa, Israel;Technion-Israel Institute of Technology, Department of Electrical Engineering, Haifa, Israel

  • Venue:
  • ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
  • Year:
  • 2007

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Abstract

We consider the problem of blindly separating time-varying instantaneous mixtures. It is assumed that the arbitrary time dependency of the mixing coefficient, is known up to a finite number of parameters. Using sparse (or sparsified) sources, we geometrically identify samples of the curves representing the parametric model. The parameters are found using a probabilistic approach of estimating the maximum likelihood of a curve, given the data. After identifying the model parameters, the mixing system is inverted to estimate the sources. The new approach to blind separation of time-varying mixtures is demonstrated using both synthetic and real data.