Non-parametric estimation of the frequency-response functions of the linear blocks of a Wiener-Hammerstein model
type: Item
instance of: scholarly article
title: Non-parametric estimation of the frequency-response functions of the linear blocks of a Wiener-Hammerstein model
zbMATH Open document ID: 0887.93014
DOI: 10.1016/S0005-1098(97)00032-0
author: Gerd Vandersteen
author: Y. Rolain
author: Johan Schoukens
published in: Automatica
publication date: 1997-09-17T00:00:00Z
review text: The paper deals with estimating the frequency response functions of the linear dynamical parts of a Wiener-Hammerstein (sandwich) system. To this end, specially designed periodic excitation signals are applied, being a composition of a large-signal and a small-signal multisine. The small signal is used to extract the amplitude and phase of the linear dynamic blocks, while the large signal is used to make the static nonlinearity work as frequency convertor. The frequency transfer function estimates are obtained by using an error-in-variables based maximum likelihood method whose starting points are determined from a combination of weighted linear and nonlinear least-squares. Applicability of the method is examined by computer simulation.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C80
zbMATH DE Number: 1062904
zbMATH Keywords: Wiener-Hammerstein system
zbMATH Keywords: frequency response
zbMATH Keywords: periodic excitation signals
zbMATH Keywords: maximum likelihood method
reviewed by: Zygmunt Hasiewicz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1062904