Title | ||
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Identification of Parallel-Cascade Wiener Systems Using Joint Diagonalization of Third-Order Volterra Kernel Slices |
Abstract | ||
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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. Kibangou | 1 | 95 | 12.01 |
GéRard Favier | 2 | 514 | 46.41 |