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A new method for the determination of the locking range of oscillators

Christoffersen, Carlos E. and Condon, Marissa and Xu, Tao (2007) A new method for the determination of the locking range of oscillators. In: ECCTD 2007 - 18th European Conference on Circuit Theory and Design, 27-30 August 2007, Seville, Spain.

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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.

Item Type:Conference or Workshop Item (Paper)
Event Type:Conference
Refereed:Yes
Uncontrolled Keywords:Jacobian matrices; injection locked oscillators;
Subjects:Engineering > Electronic engineering
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Research Initiatives and Centres > Research Institute for Networks and Communications Engineering (RINCE)
Publisher:Institute of Electrical and Electronics Engineers
Official URL:http://dx.doi.org/10.1109/ECCTD.2007.4529661
Copyright Information:©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Funders:Science Foundation Ireland, SFI 05/IN.1/I18
ID Code:2441
Deposited On:03 Mar 2009 11:17 by DORAS Administrator. Last Modified 24 May 2010 11:26

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