NDLI: Analysis of Modulated Multivariate Oscillations

Content Provider	IEEE Xplore Digital Library
Author	Lilly, J.M. Olhede, S.C.
Copyright Year	1991
Abstract	The concept of a common modulated oscillation spanning multiple time series is formalized, a method for the recovery of such a signal from potentially noisy observations is proposed, and the time-varying bias properties of the recovery method are derived. The method, an extension of wavelet ridge analysis to the multivariate case, identifies the common oscillation by seeking, at each point in time, a frequency for which a bandpassed version of the signal obtains a local maximum in power. The lowest-order bias is shown to involve a quantity, termed the instantaneous curvature, which measures the strength of local quadratic modulation of the signal after demodulation by the common oscillation frequency. The bias can be made to be small if the analysis filter, or wavelet, can be chosen such that the signal's instantaneous curvature changes little over the filter time scale. An application is presented to the detection of vortex motions in a set of freely drifting oceanographic instruments tracking the ocean currents.
Sponsorship	IEEE Signal Processing Society
Starting Page	600
Ending Page	612
Page Count	13
File Size	1012592
File Format	PDF
ISSN	1053587X
Volume Number	60
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Oscillators Vectors Frequency modulation Joints Time frequency analysis Time series analysis multivariate signal Amplitude and frequency modulated signal analytic signal Bedrosian's theorem complex-valued signal complex-valued time series
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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

Bivariate Instantaneous Frequency and Bandwidth

Modulated Oscillations in Three Dimensions

On Computing Amplitude, Phase, and Frequency Modulations Using a Vector Interpretation of the Analytic Signal

Amplitude modulated Fourier series

Multivariate Phase–Amplitude Cross-Frequency Coupling in Neurophysiological Signals

Spectral Correlation of Modulated Signals: Part I--Analog Modulation

The Analytic Signal Representation of Modulated Waveforms

$epsilon$ -Mono-Component: Its Characterization and Construction

Kinematics of Complex-Valued Time Series

Analysis of Modulated Multivariate Oscillations

Similar Documents

Bivariate Instantaneous Frequency and Bandwidth

Modulated Oscillations in Three Dimensions

On Computing Amplitude, Phase, and Frequency Modulations Using a Vector Interpretation of the Analytic Signal

Amplitude modulated Fourier series

Multivariate Phase–Amplitude Cross-Frequency Coupling in Neurophysiological Signals

Spectral Correlation of Modulated Signals: Part I--Analog Modulation

The Analytic Signal Representation of Modulated Waveforms

$epsilon$ -Mono-Component: Its Characterization and Construction

Kinematics of Complex-Valued Time Series

Analysis of Modulated Multivariate Oscillations