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

fYear

2007

Firstpage

575

Lastpage

578

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ECCTD.2007.4529661

Filename

4529661