Wiener-Hammerstein systems modeling using diagonal Volterra kernels coefficients

Alain Y. Kibangou 1 Gérard Favier 1
1 I3S - Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis
Abstract : In this letter, we first present explicit relations between block-oriented nonlinear representations and Volterra models. For an identification purpose, we show that the estimation of the diagonal coefficients of the Volterra kernels associated with the considered block-oriented nonlinear structures is sufficient to recover the overall model. An alternating least squares-type algorithm is provided to carry out this model identification.
Keywords : Alternating least squares (ALS) Toeplitz matrix Volterra models Wiener–Hammerstein models bilinear decomposition parameter estimation
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Submitted on : Wednesday, September 16, 2009 - 2:37:47 PM
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Alain Y. Kibangou, Gérard Favier. Wiener-Hammerstein systems modeling using diagonal Volterra kernels coefficients. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2006, 13 (6), pp.381-384. 〈10.1109/LSP.2006.871705〉. 〈hal-00417644〉

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