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Weighted principal component analysis for Wiener system identification – Regularization and non-Gaussian excitations
Abstract : Finite impulse response (FIR) Wiener systems driven by Gaussian inputs can be efficiently identified by a well-known correlation-based method, except those involving even static nonlinearities. To overcome this deficiency, another method based on weighted principal component analysis (wPCA) has been recently proposed. Like the correlation-based method, the wPCA is designed to estimate the linear dynamic subsystem of a Wiener system without assuming any parametric form of the nonlinearity. To enlarge the applicability of this method, it is shown in this paper that high order FIR approximation of IIR Wiener systems can be efficiently estimated by controlling the variance of parameter estimates with regularization techniques. The case of non-Gaussian inputs is also studied by means of importance sampling.
Cited literature [20 references]
https://hal.inria.fr/hal-01232183
Contributor : Qinghua Zhang Connect in order to contact the contributor
Submitted on : Monday, November 23, 2015 - 10:54:34 AM
Last modification on : Thursday, January 20, 2022 - 5:29:28 PM
Long-term archiving on: : Friday, April 28, 2017 - 10:20:37 PM
Contributor : Qinghua Zhang Connect in order to contact the contributor
Submitted on : Monday, November 23, 2015 - 10:54:34 AM
Last modification on : Thursday, January 20, 2022 - 5:29:28 PM
Long-term archiving on: : Friday, April 28, 2017 - 10:20:37 PM
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SYSID2015_Wiener.pdf
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