Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric characteristics

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)694-706
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume351
Issue number2
Online published6 Nov 2008
Publication statusPublished - 15 Mar 2009
Externally publishedYes

Abstract

The output frequency response function (OFRF) of Volterra systems can be described as a polynomial function of model parameters. However, the analytical determination of the OFRF is very computationally intensive, especially for higher order OFRF. To circumvent this problem, a numerical method can be adopted, provided that a series of simulation or experimental data for this polynomial function are given. In this study, it is theoretically shown that the analytical parametric relationship of OFRF up to any order can be determined accurately by using a simple Least Square method and every specific component of the output spectrum can also be determined explicitly, based on the OFRF's parametric characteristics. Practical techniques to obtain a unique and accurate solution for the Least Square method are discussed. This study provides a fundamental result for the determination of the analytical parametric relationship for this kind of system polynomial functions by using numerical methods. © 2008 Elsevier Inc. All rights reserved.

Research Area(s)

  • Polynomial systems, Output frequency response function, Volterra systems, Nonlinear systems, Parametric characteristics, FREQUENCY-RESPONSE FUNCTIONS, MODEL, MEMORY

Citation Format(s)

Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric characteristics. / Jing, Xingjian; Lang, Ziqiang; Billings, Stephen A.
In: Journal of Mathematical Analysis and Applications, Vol. 351, No. 2, 15.03.2009, p. 694-706.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review