Influence of noise intensity on the spectrum of an oscillator

dc.contributor.authorSwain, Rabi Sankar
dc.contributor.authorGleeson, James P.
dc.contributor.authorKennedy, Michael Peter
dc.contributor.funderScience Foundation Irelanden
dc.contributor.funderAnalog Devicesen
dc.date.accessioned2010-04-07T11:22:49Z
dc.date.available2010-04-07T11:22:49Z
dc.date.issued2005-11
dc.date.updated2010-03-26T15:13:39Z
dc.description.abstractThis 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.sponsorshipScience Foundation Ireland (Grant 02/IN.1/I45)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationSwain, 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.doi10.1109/TCSII.2005.852000
dc.identifier.endpage793en
dc.identifier.issn1549-7747
dc.identifier.issued11en
dc.identifier.journaltitleIEEE Transactions on Circuits and Systems II: Express Briefsen
dc.identifier.startpage789en
dc.identifier.urihttps://hdl.handle.net/10468/143
dc.identifier.volume52en
dc.language.isoenen
dc.publisherIEEEen
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.subjectFokker–Planck equationen
dc.subjectNonlinear perturbation techniqueen
dc.subjectOscillatoren
dc.subjectPhase noiseen
dc.subject.lcshElectronic noiseen
dc.subject.lcshOscillators, Electricen
dc.subject.lcshTime-series analysisen
dc.subject.lcshSpectral theory (Mathematics)en
dc.titleInfluence of noise intensity on the spectrum of an oscillatoren
dc.typeArticle (peer-reviewed)en
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