Optimal expansions of discrete-time Volterra models using Laguerre functions

Campello, Ricardo J.G.B., Favier, Gérard, and Amaral, Wagner C. (2003) Optimal expansions of discrete-time Volterra models using Laguerre functions. In: Proceedings of the 13th IFAC Symposium on System Identification, pp. 1844-1849. From: SYSID 2003: 13th IFAC Symposium on System Identification, 27-29 August 2003, Rotterdam, The Netherlands.

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Abstract

This paper is concerned with the optimization of Laguerre bases for the orthonormal series expansion of discrete-time Volterra models. Fu and Dumont (1993) approached this problem in the context of linear systems by minimizing an upper bound for the error resulting from the truncated Laguerre expansion of impulse response models, which are equivalent to first-order Volterra models. The present work generalizes the work mentioned above to Volterra models of any order. The main result is the derivation of analytic strict global solutions for the optimal expansion of the Volterra kernels either using an independent Laguerre basis for each kernel or using a common basis for all the kernels.

Item ID: 47961
Item Type: Conference Item (Presentation)
ISSN: 1066-033X
Funders: CAPES
Projects and Grants: CAPES BEX0467/02-2
Date Deposited: 02 May 2017 23:47
FoR Codes: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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