Generalized identifiability conditions for blind convolutive MIMO separation

Abstract : This paper 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.
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Marc Castella, Eric Moreau. Generalized identifiability conditions for blind convolutive MIMO separation. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2009, 57 (7), pp.2846-2852. ⟨10.1109/TSP.2009.2016259⟩. ⟨hal-00442756⟩

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