Phase Diffusion Due to Low-Frequency Colored Noise

James P. Gleeson

doi:10.1109/TCSII.2005.858318

Phase Diffusion Due to Low-Frequency Colored Noise

James P. Gleeson

University College Cork

Research output: Contribution to journal › Article › peer-review

Abstract

Phase diffusion in a two-dimensional nonlinear oscillator subject to colored noise is simulated numerically, and compared to theoretical predictions. When the spectrum of the noise sources decays faster than ω^-2at high frequencies, standard first-order perturbation results are dominated by second-order effects. A simple analytical model predicts the general form of the diffusion constant in such cases.

Original language	English
Pages (from-to)	183-186
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	53
Issue number	3
DOIs	https://doi.org/10.1109/TCSII.2005.858318
Publication status	Published - 6 Mar 2006
Externally published	Yes

Keywords

Colored noise
Monte Carlo simulation
diffusion
phase noise

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10.1109/TCSII.2005.858318

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title = "Phase Diffusion Due to Low-Frequency Colored Noise",

abstract = "Phase diffusion in a two-dimensional nonlinear oscillator subject to colored noise is simulated numerically, and compared to theoretical predictions. When the spectrum of the noise sources decays faster than ω-2at high frequencies, standard first-order perturbation results are dominated by second-order effects. A simple analytical model predicts the general form of the diffusion constant in such cases.",

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AB - Phase diffusion in a two-dimensional nonlinear oscillator subject to colored noise is simulated numerically, and compared to theoretical predictions. When the spectrum of the noise sources decays faster than ω-2at high frequencies, standard first-order perturbation results are dominated by second-order effects. A simple analytical model predicts the general form of the diffusion constant in such cases.

KW - Colored noise

KW - Monte Carlo simulation

KW - diffusion

KW - phase noise

UR - https://www.scopus.com/pages/publications/33644996793

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DO - 10.1109/TCSII.2005.858318

M3 - Article

AN - SCOPUS:33644996793

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JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 3

ER -

Phase Diffusion Due to Low-Frequency Colored Noise

Abstract

Keywords

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