Impulse sensitivity functions of oscillators

Author

Falk, Thomas ; Schwarz, Wolfgang

Author_Institution

Inst. for Fundamentals of Electr. Eng. & Electron., Tech. Univ. Dresden, Germany

Volume

1

fYear

2000

fDate

2000

Firstpage

647

Abstract

We define two impulse sensitivity functions (ISF) describing the transient and the stationary effects of perturbations on the trajectory of oscillators. These functions give an insight into the sensitivity of the oscillator over time. They can be used to rate different oscillators according to their sensitivity to perturbations, e.g. by noise. Both functions are derived from the properties of the corresponding dynamic system model and its monodromy matrix. The calculation of the ISF is shown and correlations between the nonlinearity contained in the oscillator and its noise behaviour is demonstrated by an example

Keywords

circuit noise; matrix algebra; nonlinear network analysis; oscillators; sensitivity analysis; transient analysis; dynamic system model; impulse sensitivity functions; monodromy matrix; noise behaviour; oscillator noise; oscillator sensitivity; oscillator trajectory; perturbations; stationary effects; transient effects; Clocks; Digital systems; Equations; Jitter; Modems; Noise measurement; Nonlinear dynamical systems; Oscillators; Phase noise; Signal to noise ratio;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on

Conference_Location

Geneva

Print_ISBN

0-7803-5482-6

Type

conf

DOI

10.1109/ISCAS.2000.857178

Filename

857178