DocumentCode
1463238
Title
Bounds for discrete-time Volterra series representations
Author
Sandberg, Irwin W.
Author_Institution
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
Volume
46
Issue
1
fYear
1999
fDate
1/1/1999 12:00:00 AM
Firstpage
135
Lastpage
139
Abstract
We give a Volterra-series representation theorem for discrete-time input-output maps that are causal and analytic. The theorem provides a bound on the error in approximating the series with its first p+1 terms. A detailed example is given to illustrate how the theorem can be used
Keywords
Banach spaces; Volterra series; discrete time systems; nonlinear systems; Banach spaces; analytic maps; causal maps; discrete-time Volterra series representations; discrete-time input-output maps; error bound; Circuits; Convergence; Convolution; Linear systems; Nonlinear systems; Sufficient conditions;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.739261
Filename
739261
Link To Document