Influence of noise intensity on the spectrum of an oscillator

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dc.contributor.author Swain, Rabi Sankar
dc.contributor.author Gleeson, James P.
dc.contributor.author Kennedy, Michael Peter
dc.date.accessioned 2010-04-07T11:22:49Z
dc.date.available 2010-04-07T11:22:49Z
dc.date.issued 2005-11
dc.identifier.citation Swain, R.S., Gleeson, J.P., and Kennedy, M.P., 2005. Influence of noise intensity on the spectrum of an oscillator. IEEE Transactions On Circuits and Systems II - Express Briefs, 52(11), pp.789-793. en
dc.identifier.volume 52 en
dc.identifier.issued 11 en
dc.identifier.startpage 789 en
dc.identifier.endpage 793 en
dc.identifier.issn 1549-7747
dc.identifier.uri http://hdl.handle.net/10468/143
dc.identifier.doi 10.1109/TCSII.2005.852000
dc.description.abstract This paper investigates the influence of high-intensity noise on the correlation spectrum of a two-dimensional (2-D) nonlinear oscillator. An exact analytical solution for the correlation spectrum of this 2-D oscillator is provided. The analytical derivations are well suited for oscillators with white noise of any intensity, but computational constraints on the solution of the partial differential equation may make it impractical for cases where the number of state variables exceeds three. The spectral results predicted by our analytical method are verified by numerical simulations of the noisy oscillator in the time domain. We find that the peak of the oscillator spectrum shifts toward higher frequencies as the noise intensity is increased, as opposed to the fixed oscillation frequency predicted in the existing literature. This phenomenon does not appear to have been reported previously in the context of phase noise in oscillators. en
dc.description.sponsorship Science Foundation Ireland (Grant 02/IN.1/I45) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher IEEE
dc.rights ©2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. en
dc.subject Fokker–Planck equation en
dc.subject Nonlinear perturbation technique en
dc.subject Oscillator en
dc.subject Phase noise en
dc.subject.lcsh Electronic noise en
dc.subject.lcsh Oscillators, Electric en
dc.subject.lcsh Time-series analysis en
dc.subject.lcsh Spectral theory (Mathematics) en
dc.title Influence of noise intensity on the spectrum of an oscillator en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Michael Peter Kennedy, Vice President Research, University College Cork, Cork, Ireland. +353-21-490-3000 Email: peter.kennedy@ucc.ie en
dc.internal.availability Full text available en
dc.date.updated 2010-03-26T15:13:39Z
dc.description.version Published Version en
dc.internal.rssid 353364
dc.contributor.funder Science Foundation Ireland en
dc.contributor.funder Analog Devices B.V., Ireland en
dc.description.status Peer reviewed en
dc.identifier.journaltitle IEEE Transactions on Circuits and Systems II: Express Briefs en
dc.internal.IRISemailaddress peter.kennedy@ucc.ie en


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