Identification of FIR Wiener systems with unknown, noninvertible, polynomial nonlinearities
- 1 January 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 36 (07431619), 893-898 vol.2
- https://doi.org/10.1109/acc.2002.1023129
Abstract
Wiener systems consist of a linear dynamic system whose output is measured through a static nonlinearity. In this paper we study the identification of single-input single-output Wiener systems with finite impulse response and polynomial nonlinearities. Our approach is to use multi-index notation to first solve a least squares problem to estimate products of the coefficients of the nonlinearity and the impulse response of the linear system. We then present four methods to extract the coefficients of the nonlinearity and impulse response: direct algebraic solutions, a singular value decomposition, a multi-dimensional singular value decomposition, and a prediction error optimization approach.Keywords
This publication has 11 references indexed in Scilit:
- Subspace identification for nonlinear systems that are linear in unmeasured statesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Identification of Wiener systems with known noninvertible nonlinearitiesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2001
- Recursive subspace identification of linear and non-linear Wiener state-space modelsAutomatica, 2000
- The N-way Toolbox for MATLABChemometrics and Intelligent Laboratory Systems, 2000
- Nonlinear System Identification — Input-Output Modeling ApproachPublished by Springer Nature ,1999
- An optimal two-stage identification algorithm for Hammerstein–Wiener nonlinear systemsAutomatica, 1998
- Nonparametric approach to Wiener system identificationIEEE Transactions on Circuits and Systems I: Regular Papers, 1997
- Identifying MIMO Wiener systems using subspace model identification methodsSignal Processing, 1996
- Maximum likelihood identification of stochastic Weiner-Hammerstein-type non-linear systemsMechanical Systems and Signal Processing, 1992
- Parameter identification of linear systems using nonlinear noninvertible measurementsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984