A generalized model of coupled oscillator phase-noise response

  • Model frameworks, based on Floquet theory, have been shown to produce effective tools for accurately predicting phase-noise response of single (free-running) oscillator systems. This method of approach, referred to herein as macro-modeling, has been discussed in several highly influential papers and now constitutes an established branch of modern circuit theory. The increased application of, for example, injection-locked oscillators and oscillator arrays in modern communication systems has subsequently exposed the demand for similar rigorous analysis tools aimed at coupled oscillating systems. This paper presents a novel solution in terms of a macro-model characterizing the phase-response of synchronized coupled oscillator circuits and systems perturbed by weak noise sources. The framework is generalized and hence applicable to all circuit configurations and coupling topologies generating a synchronized steady-state. It advances and replaces the phenomenological descriptions currently found in the published literature pertaining to this topic and, as such, represents a significant breakthrough w.r.t. coupled oscillator noise modeling. The proposed model is readily implemented numerically using standard routines.

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Author:Torsten Djurhuus, Viktor KrozerORCiDGND
Parent Title (English):International journal of circuit theory and applications
Place of publication:New York, NY [u.a.]
Document Type:Article
Date of Publication (online):2021/09/28
Date of first Publication:2021/09/28
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2022/01/13
Tag:Floquet theory; circuit analysis; coupled oscillators; nonlinear dynamical systems; oscillators; phase noise; synchronized oscillators; system analysis and design
Issue:online version before inclusion in an issue
Page Number:21
First Page:1
Last Page:21
Early View: Online Version before inclusion in an issue.
German Research Foundation, Grant/Award Number: KR 1016/16-1
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0