NDLI: Dynamic system identification with order statistics

Content Provider	IEEE Xplore Digital Library
Author	Greblicki, W. Pawlak, M.
Copyright Year	1963
Abstract	Systems consisting of linear dynamic and memory-less nonlinear subsystems are identified. The paper deals with systems in which the nonlinear element is followed by a linear element, as well as systems in which the subsystems are connected in parallel. The goal of the identification is to recover the nonlinearity from noisy input-output observations of the whole system; signals interconnecting the elements are not measured. Observed values of the input signal are rearranged in increasing order, and coefficients for the expansion of the nonlinearity in trigonometric series are estimated from the new sequence of observations obtained in this way. Two algorithms are presented, and their mean integrated square error is examined. Conditions for pointwise convergence are also established. For the nonlinearity satisfying the Lipschitz condition, the error converges to zero. The rate of convergence derived for differentiable nonlinear characteristics is insensitive to the roughness of the probability density of the input signal. Results of numerical simulation are also presented.<>
Sponsorship	IEEE Information Theory Society
Starting Page	1474
Ending Page	1489
Page Count	16
File Size	1164478
File Format	PDF
ISSN	00189448
Volume Number	40
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	System identification Statistics Nonlinear dynamical systems Convergence Signal processing Partitioning algorithms Probability Numerical simulation Nonlinear systems Random variables
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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

Order statistic distributions with multiple windows

Nonparametric identification of Wiener systems

Nonparametric identification of Hammerstein systems

The entropy of ordered sequences and order statistics

Nonparametric Input Density-Free Estimation of the Nonlinearity in Wiener Systems

Blind identifiability of a quadratic stochastic system

Computational Algorithms for Wavelet Identification of Nonlinearities in Hammerstein Systems With Random Inputs

Stochastic approximation in nonparametric identification of Hammerstein systems

Nonlinearity recovering in Wiener system driven with correlated signal

Dynamic system identification with order statistics

Similar Documents

Order statistic distributions with multiple windows

Nonparametric identification of Wiener systems

Nonparametric identification of Hammerstein systems

The entropy of ordered sequences and order statistics

Nonparametric Input Density-Free Estimation of the Nonlinearity in Wiener Systems

Blind identifiability of a quadratic stochastic system

Computational Algorithms for Wavelet Identification of Nonlinearities in Hammerstein Systems With Random Inputs

Stochastic approximation in nonparametric identification of Hammerstein systems

Nonlinearity recovering in Wiener system driven with correlated signal

Dynamic system identification with order statistics