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Journal of Computational Electronics

Erschienen in:

01.03.2015

Noise in oscillators: a review of state space decomposition approaches

verfasst von: F. L. Traversa, M. Bonnin, F. Corinto, F. Bonani

Erschienen in: Journal of Computational Electronics | Ausgabe 1/2015

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Abstract

We review the state space decomposition techniques for the assessment of the noise properties of autonomous oscillators, a topic of great practical and theoretical importance for many applications in many different fields, from electronics, to optics, to biology. After presenting a rigorous definition of phase, given in terms of the autonomous system isochrons, we provide a generalized projection technique that allows to decompose the oscillator fluctuations in terms of phase and amplitude noise, pointing out that the very definition of phase (and orbital) deviations depends of the base chosen to define the aforementioned projection. After reviewing the most advanced theories for phase noise, based on the use of the Floquet basis and of the reduction of the projected model by neglecting the orbital fluctuations, we discuss the intricacies of the phase reduction process pointing out the presence of possible variations of the noisy oscillator frequency due to amplitude-related effects.

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Titel: Noise in oscillators: a review of state space decomposition approaches
verfasst von: F. L. Traversa
M. Bonnin
F. Corinto
F. Bonani
Publikationsdatum: 01.03.2015
Verlag: Springer US
Erschienen in: Journal of Computational Electronics / Ausgabe 1/2015
Print ISSN: 1569-8025
Elektronische ISSN: 1572-8137
DOI: https://doi.org/10.1007/s10825-014-0651-3

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