Determination of the correlation spectrum of oscillators with low noise

Author

Kaertner, Franz X.

Author_Institution

Inst. fuer Hochfrequenztechnik, Tech. Univ. of Munchen, West Germany

Volume

37

Issue

1

fYear

1989

fDate

1/1/1989 12:00:00 AM

Firstpage

90

Lastpage

101

Abstract

A general expression for the correlation spectrum of an oscillator, described by a set of nonlinear ordinary differential equations with intrinsic noise sources, is derived by a first-order perturbation theory. The analytical derivations are well suited to the numerical determination of the correlation spectrum by Poincare mapping methods. The theory is applied to a lumped circuit model of Colpitts oscillator. It is concluded that the noise behavior of complex oscillator circuits used in microwave engineering can be simulated by the derived method

Keywords

correlation theory; equivalent circuits; microwave oscillators; noise; nonlinear network analysis; oscillators; spectral analysis; time-domain analysis; Colpitts oscillator; Poincare mapping methods; correlation spectrum; first-order perturbation theory; intrinsic noise sources; low noise oscillators; lumped circuit model; microwave engineering; nonlinear ordinary differential equations; numerical determination; time-domain analysis; Active noise reduction; Circuit noise; Circuit simulation; Colored noise; Differential equations; Genetic expression; Microwave circuits; Microwave oscillators; Microwave theory and techniques; Vectors;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.20024

Filename

20024