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

Alain Kibangou (1) , Gérard Favier (2)

1 LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe SIGNAL

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

Mots clés: Joint diagonalization; Volterra kernels; nonlinear systems parallel-cascade Wiener systems; parameter estimation

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

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