Synchronization of two LC- oscillators using capacitive coupling

Author

Oliveira, Luis Bica ; Filanovsky, I.M. ; Allam, A. ; Fernandes, Jorge R.

Author_Institution

INESC-ID Lisboa, Nova Univ. of Lisbon, Lisbon

fYear

2008

fDate

18-21 May 2008

Firstpage

2322

Lastpage

2325

Abstract

This paper considers two oscillators (van der Pol or Robinson type) synchronized using capacitive coupling. Equations are derived for the oscillation frequency and amplitudes. They show that the frequency of synchronous oscillation is different from the frequencies of individual oscillators. The amplitudes of oscillation are also different: one oscillator becomes a master and the second oscillator becomes a slave. A method of quasilinear approximation is used to evaluate the stability of synchronous oscillation. Simulation results for a 5 GHz oscillator confirm the theoretical analysis.

Keywords

microwave oscillators; relaxation oscillators; synchronisation; LC- oscillator synchronization; Robinson oscillator; capacitive coupling; frequency 5 GHz; quasilinear approximation; synchronous oscillation; van der Pol oscillator; Analytical models; Circuit analysis; Coupling circuits; Equations; Frequency synchronization; Liquid crystal on silicon; Master-slave; Mutual coupling; Oscillators; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

978-1-4244-1683-7

Electronic_ISBN

978-1-4244-1684-4

Type

conf

DOI

10.1109/ISCAS.2008.4541919

Filename

4541919