Identification of a class of time-varying nonlinear systems using basis sequences

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Identification of a class of time-varying nonlinear systems using basis sequences

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Title: Identification of a class of time-varying nonlinear systems using basis sequences
Author: Ralston, J.C; Zoubir, A.M; Boashash, B
Abstract: We consider the identification of a class of time-varying nonlinear systems, called the time-varying Hammerstein series. This identification problem is motivated by the practical need to characterise time-varying nonlinearsystems in a simple and parsimonious manner. Basis sequences are introduced to facilitate a reduction in systemparameterisation and also to make the estimation task tractable. A significant advantage of the approach is that only a single input-output record is required to obtain least-squares estimates of the model coefficients. The selection of basis sequences and basis order is also discussed. Simulated and real data results are presented to indicate the usefulness of the proposed identification technique. We were interested in applying the time-varyingnonlinear system identification procedure to a modelling scenario in seismology
Description: This paper shows that the time-varying Hammerstein seriescan be used for a wide range of time-varying nonlinear system identification problems. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10873
Date: 1996

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