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Identification of parallel-cascade Wiener systems using joint diagonalization of third-order Volterra kernel slices

Abstract : This letter is concerned with the parameter estimation of linear and nonlinear subsystems of parallel-cascade Wiener systems (PCWS). We first present the relationship between a PCWS and its associated Volterra model. We show that the coefficients of the linear subsystems can be obtained using a joint diagonalization of the third-order Volterra kernel slices. Then, the coefficients of the nonlinear subsystems are estimated using the least square algorithm. The proposed parameter estimation method is illustrated by means of simulation results
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https://hal.archives-ouvertes.fr/hal-00417584
Contributor : Thomas Bouilloc <>
Submitted on : Wednesday, September 16, 2009 - 11:42:28 AM
Last modification on : Tuesday, May 26, 2020 - 6:50:34 PM

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Alain Y. Kibangou, Gérard Favier. Identification of parallel-cascade Wiener systems using joint diagonalization of third-order Volterra kernel slices. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2009, 16 (3), pp.188-191. ⟨10.1109/LSP.2008.2011706⟩. ⟨hal-00417584⟩

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