Publication:
Fully nonlinear oscillator noise analysis: an oscillator with no asymptotic phase

dc.contributor.departmentDepartment of Electrical and Electronics Engineering
dc.contributor.kuauthorDemir, Alper
dc.contributor.schoolcollegeinstituteCollege of Engineering
dc.date.accessioned2024-11-10T00:02:12Z
dc.date.issued2007
dc.description.abstractOscillators exist in many systems. Detailed and correct characterization and comprehension of noise in autonomous systems such as oscillators is of utmost importance. Previous approaches to oscillator noise analysis are based on some kind of perturbation analysis, some linear and some nonlinear. However, the derivations of the equations for perturbation analysis are all based on information that is produced by a linearization of the oscillator equations around the periodic steady-state solution, where it is assumed that the oscillator is orbitally stable and it has the so-called asymptotic phase property. In this paper, we first discuss these notions from a qualitative perspective, and demonstrate that the asymptotic phase property is crucial in validating all of the previous approaches. We then present the case of a simple oscillator that is orbitally stable but without asymptotic phase, for which previous approaches fail. We then present a fully nonlinear noise analysis of this oscillator. We derive and compute nonlinear, non-stationary and non-Gaussian stochastic characterizations for both amplitude and phase noise. We arrive at results that are distinctly different when compared with the ones obtained previously for oscillators with asymptotic phase. We compare and verify our analytical results against extensive Monte Carlo simulations. Copyright (C) 2006 John Wiley & Sons, Ltd.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue2
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume35
dc.identifier.doi10.1002/cta.387
dc.identifier.issn0098-9886
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-33947725581
dc.identifier.urihttps://doi.org/10.1002/cta.387
dc.identifier.urihttps://hdl.handle.net/20.500.14288/16092
dc.identifier.wos245519400005
dc.keywordsOscillators
dc.keywordsOrbital stability
dc.keywordsAsymptotic phase property
dc.keywordsPhase noise
dc.keywordsAmplitude noise
dc.keywordsNonlinear noise analysis
dc.keywordsFokker-Planck equations
dc.keywordsMoment closure techniques
dc.keywordsStochastic differential equations
dc.language.isoeng
dc.publisherJohn Wiley & Sons Ltd
dc.relation.ispartofInternational Journal of Circuit Theory and Applications
dc.subjectEngineering, electrical
dc.subjectElectronic
dc.titleFully nonlinear oscillator noise analysis: an oscillator with no asymptotic phase
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorDemir, Alper
local.publication.orgunit1College of Engineering
local.publication.orgunit2Department of Electrical and Electronics Engineering
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relation.isOrgUnitOfPublication.latestForDiscovery21598063-a7c5-420d-91ba-0cc9b2db0ea0
relation.isParentOrgUnitOfPublication8e756b23-2d4a-4ce8-b1b3-62c794a8c164
relation.isParentOrgUnitOfPublication.latestForDiscovery8e756b23-2d4a-4ce8-b1b3-62c794a8c164

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