A symbolic-numeric method to analyse high-Q quartz crystal oscillators in frequency domain

Author

Ratier, Nicolas ; Bruniaux, Mickael ; Brendel, Remi

Author_Institution

Dept. LPMO, Inst. FEMTO-ST, Besancon

fYear

2005

fDate

15-17 Sept. 2005

Firstpage

205

Lastpage

208

Abstract

We present a symbolic-numeric method dedicated to the simulation of ultra stable quartz, oscillators entirely in the frequency domain including the nonlinear parts of the circuit. The main idea is to replace, by symbolic computation, the nonlinear differential system describing the oscillator by a system of nonlinear equations of Fourier coefficients whose solution is an approximation of the steady-state solution. This paper explains how to face the two main difficulties of this symbolic computation: the processing of nonlinear components and the management of large number of coefficients

Keywords

Fourier analysis; crystal oscillators; nonlinear differential equations; quartz; Fourier coefficients; Q quartz crystal oscillators; frequency domain; nonlinear differential system; nonlinear equations; symbolic computation; Circuit simulation; Computational modeling; Equivalent circuits; Face; Frequency domain analysis; Kirchhoff´s Law; Nonlinear equations; Oscillators; Steady-state; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Laser and Fiber-Optical Networks Modeling, 2005. Proceedings of LFNM 2005. 7th International Conference on

Conference_Location

Yalta, Crimea

Print_ISBN

0-7803-9147-0

Type

conf

DOI

10.1109/LFNM.2005.1553227

Filename

1553227