Diagonalisation conjointe de tenseurs d'ordre 3 Application à la séparation de signaux non-circulaires

We consider the joint diagonalization problem of complex symmetric third order tensors. A Jacobi like algorithm is presented where the optimal solution in the 2×2 case is derived. In case of the source separation problem of non circular signals, a link between the decomposition and a given contrast function is enlightened. Computer simulations illustrate the proposed approach.

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