NDLI: A globally convergent frequency estimator

Content Provider	IEEE Xplore Digital Library
Author	Liu Hsu Ortega, R. Damm, G.
Copyright Year	1997
Description	Author affiliation: Dept. of Electr. Eng., Univ. Fed. do Rio de Janeiro, Brazil (Liu Hsu)
Abstract	Online estimation of the frequency of a sinusoidal signal is a classical problem in systems theory that has many practical applications. In this paper we provide a solution to the long-standing fundamental open problem of ensuring a globally convergent estimation. More specifically, we propose a new adaptive notch filter whose dynamic equations exhibit the following remarkable features: (i) all signals are globally bounded and the estimated frequency is asymptotically correct for all initial conditions and all frequency values; (ii) we obtain a simple tuning procedure for the estimator design parameters, which trades-off the adaptation tracking capabilities with noise sensitivity, ensuring (exponential) stability of the desired orbit; (iii) transient performance is considerably enhanced, even for small and large frequencies, as witnessed by extensive simulations. To reveal some of the stability-instability mechanisms of the existing algorithms and motivate our modifications we make appeal to a novel nonlinear (state-dependent) time scaling. The main advantage of working in the new time scale is that we remove the coupling,between the parameter update law and the filter itself, decomposing the system into a feedback form where the required modifications to ensure stability become apparent.
Starting Page	252
Ending Page	257
File Size	504076
Page Count	6
File Format	PDF
ISBN	078034247X
DOI	10.1109/COC.1997.631337
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-08-27
Publisher Place	Russia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency estimation Equations Tuning Asymptotic stability Magnetic noise Adaptive filters Parameter estimation Signal design Feedback Amplitude estimation
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

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