A general method to predict the amplitude of oscillation in nearly-sinusoidal oscillators

Loading...
Thumbnail Image
Files
GMM_GeneralPV2004.pdf(1.07 MB)
Published Version
Date
2004-08
Authors
Maggio, Gian Mario
De Feo, Oscar
Kennedy, Michael Peter
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE
Research Projects
Organizational Units
Journal Issue
Abstract
In this paper, a general methodology for predicting the amplitude of oscillation in nearly sinusoidal oscillators is presented. The method relies on the recently proposed projection technique for the computation of the center manifold and on the Hopf normal form theory to approximate the corresponding limit cycle in state space. The Colpitts oscillator is selected as a case study and, for this circuit, a closed-form expression for the amplitude of oscillation is derived as a function of the circuit parameters.
Description
Keywords
Center manifold theorem , Colpitts oscillator , Hopf normal form theorem , Oscillation amplitude
Citation
Maggio, G.M., de Feo O. and Kennedy, M.P. (2004) 'A general method to predict the amplitude of oscillaton in nearly-sinusoidal oscillators'. IEEE Transactions On Circuits and Systems I-Regular Papers, 51 (8):1586-1595.
Copyright
©2004 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.