NDLI: Kernel invariance method for relating continuous-time with discrete-time nonlinear parametric models

Content Provider	IEEE Xplore Digital Library
Author	Zhao, X. Marmarelis, V.Z.
Copyright Year	1994
Description	Author affiliation: Dept. of Electr. & Biomed. Eng., Univ. of Southern California, Los Angeles, CA, USA (Zhao, X.; Marmarelis, V.Z.)
Abstract	A method for defining the equivalence between nonlinear parametric models in continuous-time (differential equations) and discrete-time (difference equations) is presented. The method, termed "kernel invariance method", is a conceptual extension of the "impulse invariance method" in linear system modeling. It employs the general Volterra model form of nonlinear systems and requires that the sampled continuous-time kernels be identical to the discrete-time kernels. The actual implementation of the method may become unwieldy in the general case, but it appears to be tractable in certain cases of low-order nonlinear systems. An illustrative example of a quadratic system is presented that makes use of 1st order and 2nd-order kernel invariance.<>
File Size	233810
File Format	PDF
ISBN	0780317750
ISSN	15206149
DOI	10.1109/ICASSP.1994.389972
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-04-19
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Kernel Parametric statistics Difference equations Nonlinear equations Biomedical engineering Nonlinear systems Tiles Artificial intelligence Sampling methods Differential equations
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in