Title
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.
Year
DOI
Venue
2009
10.1109/LSP.2008.2011706
IEEE Signal Process. Lett.
Keywords
Field
DocType
Volterra series,Wiener filters,least squares approximations,nonlinear filters,nonlinear systems,parameter estimation,joint diagonalization,least square algorithm,parallel-cascade Wiener systems,parameter estimation,third-order Volterra kernel slices,Joint diagonalization,Volterra kernels,nonlinear systems,parallel-cascade Wiener systems,parameter estimation
Kernel (linear algebra),Mathematical optimization,Nonlinear system,Third order,Volterra series,Symmetric matrix,Least mean square algorithm,Cascade,Estimation theory,Mathematics
Journal
Volume
Issue
ISSN
16
3
1070-9908
Citations 
PageRank 
References 
10
0.56
6
Authors
2
Name
Order
Citations
PageRank
Alain Y. Kibangou19512.01
GéRard Favier251446.41