Title :
Synchronization of two LC-oscillators using nonlinear models
Author :
Filanovsky, I.M. ; Verhoeven, C.J.M.
Author_Institution :
Univ. of Alberta, Edmonton
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;
Conference_Titel :
Circuits and Systems, 2007. MWSCAS 2007. 50th Midwest Symposium on
Conference_Location :
Montreal, Que.
Print_ISBN :
978-1-4244-1175-7
Electronic_ISBN :
1548-3746
DOI :
10.1109/MWSCAS.2007.4488631
