Title :
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
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;
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
DOI :
10.1109/ISCAS.2008.4541919