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

Fabio L. Traversa; Fabrizio Bonani

doi:10.1109/TCSI.2011.2123531

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

Fabio L. Traversa, Fabrizio Bonani

Departament d'Enginyeria Electrònica

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Resum

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.

Idioma original	English
Número d’article	5738701
Pàgines (de-a)	2485-2497
Revista	IEEE Transactions on Circuits and Systems I: Regular Papers
Volum	58
Número	10
DOIs	https://doi.org/10.1109/TCSI.2011.2123531
Estat de la publicació	Publicada - 25 de març 2011

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10.1109/TCSI.2011.2123531

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title = "Oscillator noise: A nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation",

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. {\textcopyright} 2011 IEEE.",

keywords = "Autononmous systems, circuit simulation, Floquet theory, oscillator noise",

author = "Traversa, {Fabio L.} and Fabrizio Bonani",

year = "2011",

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doi = "10.1109/TCSI.2011.2123531",

language = "English",

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Oscillator noise: A nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation. / Traversa, Fabio L.; Bonani, Fabrizio.
In: IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 58, Núm. 10, 5738701, 25.03.2011, pàg. 2485-2497.

Producció científica: Contribució a una revista › Article › Recerca › Avaluat per experts

TY - JOUR

T1 - Oscillator noise: A nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation

AU - Traversa, Fabio L.

AU - Bonani, Fabrizio

PY - 2011/3/25

Y1 - 2011/3/25

N2 - 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.

AB - 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.

KW - Autononmous systems

KW - circuit simulation

KW - Floquet theory

KW - oscillator noise

U2 - 10.1109/TCSI.2011.2123531

DO - 10.1109/TCSI.2011.2123531

M3 - Article

SN - 1549-8328

VL - 58

SP - 2485

EP - 2497

JO - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

IS - 10

M1 - 5738701

ER -

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

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