Generalized identifiability conditions for blind convolutive MIMO separation

Authors:
Marc Castella;Eric Moreau
Affiliations:
Institut Té/lé/com/ Té/lé/com & Management SudParis, UMR-CNRS 5157, É/É/vry Cedex, France;ISITV, LSEET, UMR-CNRS 6017, University of Sud Toulon Var, La Valette du Var Cedex, France
Venue:
IEEE Transactions on Signal Processing
Year:
2009

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Abstract

This correspondence deals with the problem of source separation in the case where the output of a multivariate convolutive mixture is observed: we propose novel and generalized conditions for the blind identifiability of a separating system. The results are based on higher-order statistics and are valid in the case of stationary but not necessarily i.i.d. signals. In particular, we extend recent results based on second-order statistics only. The approach relies on the use of so called reference signals. Our new results also show that only weak conditions are required on the reference signals: this is illustrated by simulations and opens up the possibility of developing new methods.