Clark, Daniel E. and Houssineau, Jeremie (2014) Faà Di Bruno's formula and volterra series. In: 2014 IEEE Workshop on Statistical Signal Processing (SSP), Gold Coast, VIC, Australia, 29 Jun -2 Jul 2014 pp. 217-219. ISBN 9781479949755. doi:10.1109/SSP.2014.6884614 ISSN 2373-0803.

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Abstract

Volterra series are used for modelling nonlinear systems with memory effects. The n th -order impulse response and the kernels in the series can be determined with Fréchet derivatives of Volterra series operators. Consequently, we can determine the kernels of composite systems by taking higher-order Fréchet derivatives of composite series. The generalisation of the higher-order chain rule, Faà di Bruno's formula for variational calculus, was recently determined and this note demonstrates how it can be used to determine kernels for composite Volterra series operators.

Item Type:	Conference Item (Paper)
Divisions:	Faculty of Science, Engineering and Medicine > Science > Statistics
Publisher:	IEEE
ISBN:	9781479949755
ISSN:	2373-0803
Book Title:	2014 IEEE Workshop on Statistical Signal Processing (SSP)
Official Date:	2014
Dates:	Date Event 2014 Published
Page Range:	pp. 217-219
DOI:	10.1109/SSP.2014.6884614
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Conference Paper Type:	Paper
Title of Event:	2014 IEEE Workshop on Statistical Signal Processing (SSP)
Type of Event:	Workshop
Location of Event:	Gold Coast, VIC, Australia
Date(s) of Event:	29 Jun -2 Jul 2014

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