Blind Identification of Overcomplete Mixtures of Sources (BIOME)

Abstract : The problem of Blind Identification of linear mixtures of independent random processes is known to be related to the diagonalization of some tensors. This problem is posed here in terms of a non conventional joint approximate diagonalization of several matrices. In fact, a congruent transform is applied to each of these matrices, the left transform being rectangular full rank, and the right one being unitary. The application in antenna signal processing is described, and suboptimal numerical algorithms are proposed.
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Laurent Albera, Anne Férreol, Pierre Comon, Pascal Chevalier. Blind Identification of Overcomplete Mixtures of Sources (BIOME). Linear Algebra and its Applications, Elsevier, 2004, 391, pp.1-30. ⟨10.1016/j.laa.2004.05.007⟩. ⟨hal-00536010⟩

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