Title :
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
fDate :
1/1/1989 12:00:00 AM
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
