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The paper deals with the problem of the blind extraction of a source signal after a MIMO convolutive mixture. The extraction is performed using a MISO equalizer. A contrast function based on high order statistics is first proposed. It is more general than the existing contrast in the same context and exhibits a cubic dependence w.r.t. the unknown equalizer parameters. This allows us to propose a new...
In this communication, we consider the problem of the joint- diagonalization of square complex tensors through a least- squares approach. In particular, this allows us to show that recent joint-diagonalization criteria used in source separation can be seen as based on a least-squares criterion. Using the proposed criteria, we propose a Jacobi-like algorithm for the decomposition of symmetric third...
This paper considers the problem of blind separation of a MIMO convolutive mixture of i.i.d. source signals. Separation criteria are considered for the overall extraction of source signals according to the use of so-called reference signals. We present a new MIMO contrast function using reference signals, which is moreover seen to have joint-diagonalization interpretation. A link with the PARAFAC...
Source separation based on joint diagonalization of cumulant matrices or tensors has led now to classical algorithms. In a previous paper by Blaschke and Wiskott, an algorithm based on the above principle is proposed. It combines third- and fourth-order cumulants and it is claimed to possess interesting properties. This comment has two objectives. We point out imprecisions of statement and we give...
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