Synchronization of two LC-oscillators using nonlinear models

Author

Filanovsky, I.M. ; Verhoeven, C.J.M.

Author_Institution

Univ. of Alberta, Edmonton

fYear

2007

fDate

5-8 Aug. 2007

Firstpage

473

Lastpage

476

Abstract

Synchronization of two LC-oscillators is a deeply nonlinear process. We consider synchronization of two van der Pol oscillators using different coupling circuits (four cases are considered), and coupled via first harmonic. We derive the equations for calculation of the synchronization frequency, and the equations for the oscillation amplitudes. It is shown that, in the general case, the synchronization frequency is different from the frequencies of individual oscillators before coupling. The oscillation amplitudes are also not equal: one oscillator becomes a master, and the other oscillator becomes a slave.

Keywords

coupled circuits; relaxation oscillators; synchronisation; LC-oscillators synchronization; coupling circuits; first harmonic; nonlinear models; oscillation amplitudes; synchronization frequency; van der Pol oscillators synchronization; Coupling circuits; Frequency synchronization; Injection-locked oscillators; Laboratories; Liquid crystal on silicon; Master-slave; Mutual coupling; Nonlinear equations; Quadrature oscillators; injection locking; van der Pol oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2007. MWSCAS 2007. 50th Midwest Symposium on

Conference_Location

Montreal, Que.

ISSN

1548-3746

Print_ISBN

978-1-4244-1175-7

Electronic_ISBN

1548-3746

Type

conf

DOI

10.1109/MWSCAS.2007.4488631

Filename

4488631