Oscillator noise: A nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation

Fabio L. Traversa, Fabrizio Bonani

Research output: Contribution to journalArticleResearchpeer-review

35 Citations (Scopus)

Abstract

We derive a full statistical characterization of the noise spectrum of a free running oscillator perturbed by white Gaussian noise sources, including the effect of orbital fluctuations and of their correlation with phase noise, thus extending the previous theory based on the Floquet decomposition of the linearized oscillator equations . This allows to derive explicit relationships for the relevant phase, amplitude and correlation spectra. The examples provide a validation of the theoretical results, and allow to assess the importance of the Floquet exponents and eigenvectors on the magnitude of the orbital noise contribution. © 2011 IEEE.
Original languageEnglish
Article number5738701
Pages (from-to)2485-2497
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume58
Issue number10
DOIs
Publication statusPublished - 25 Mar 2011

Keywords

  • Autononmous systems
  • circuit simulation
  • Floquet theory
  • oscillator noise

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