Asymptotic formulas in nearly sinusoidal nonlinear oscillators

Author

Buonomo, Antonio ; Di Bello, Carlo

Author_Institution

Dipartimento di Ingegneria dell´´Inf. ed Ingegneria Elettrica, Salerno Univ., Italy

Volume

43

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

953

Lastpage

963

Abstract

We give an iterative procedure for calculating the steady-state output waveform of nearly sinusoidal nonlinear feedback-oscillators whose order as well as the shape and the degree of the nonlinearity is assumed to be of the greatest generality. The procedure inherits its foundation from the classical perturbation theory and makes it possible to determine both the frequency and the complex amplitude of the harmonics of the oscillation by very simple recurrence formulas, by which a complete analytical representation of the nonlinear oscillation is obtained. These asymptotic formulas are valuable for both the analysis and synthesis purposes. The application of the above formulas to some typical oscillator circuits is given to show their usefulness in practical problems

Keywords

feedback oscillators; iterative methods; nonlinear network synthesis; perturbation theory; asymptotic formula; harmonics; iterative method; nearly sinusoidal nonlinear feedback-oscillator; perturbation theory; recurrence formula; steady-state output waveform; Circuit synthesis; Feedback loop; Frequency; Harmonic analysis; Oscillators; Output feedback; Performance analysis; Perturbation methods; Shape; Steady-state;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.545836

Filename

545836