Separation of instantaneous mixtures of cyclo-stationary sources

  • Authors:
  • Pierre Jallon;Antoine Chevreuil

  • Affiliations:
  • Equipe Signal et Communications, Institut Gaspard Monge, University of Marne-la-vallée, UMR 8049 CNRS IGMLabInfo, France;Equipe Signal et Communications, Institut Gaspard Monge, University of Marne-la-vallée, UMR 8049 CNRS IGMLabInfo, France

  • Venue:
  • Signal Processing
  • Year:
  • 2007

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Abstract

It has been observed that, generally, the Comon algorithm successfully achieves to separate instantaneous mixtures of non-stationary signals, despite it has been designed for stationary environments. We address the theoretical justification of this fact. We provide a tractable condition on the statistics of the sources ensuring that the Comon function is a contrast. This condition is worked out for various digital communication signals. We finally explain why the Comon and JADE algorithms remain strongly connected in a cyclo-stationary context.