Title :
A new method for the determination of the locking range of oscillators
Author :
Christoffersen, Carlos E. ; Condon, Marissa ; Xu, Tao
Author_Institution :
Dept. of Electr. Eng., Lakehead Univ., Thunder Bay, ON
Abstract :
A time-domain method for the determination of the injection-locking range of oscillators is presented. The method involves three time dimensions: the first and the second are warped time scales used for the free-running frequency and the external excitation, respectively and the third is to account for slow transients to reach a steady-state regime. The locking range is determined by tuning the frequency of the external excitation until the oscillator locks. The locking condition is determined by analyzing the Jacobian matrix of the system. The method is advantageous in that the computational effort is independent of the presence of widely separated time constants in the oscillator. Numerical results for a Van Der Pol oscillator are presented.
Keywords :
Jacobian matrices; injection locked oscillators; Jacobian matrix; injection-locking range; oscillator locks; steady-state regime; time-domain method; Circuit analysis; Circuit simulation; Circuit synthesis; Frequency conversion; Frequency synthesizers; Injection-locked oscillators; Lakes; Phase locked loops; Phased arrays; Time domain analysis;
Conference_Titel :
Circuit Theory and Design, 2007. ECCTD 2007. 18th European Conference on
Conference_Location :
Seville
Print_ISBN :
978-1-4244-1341-6
Electronic_ISBN :
978-1-4244-1342-3
DOI :
10.1109/ECCTD.2007.4529661
