Title :
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
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;
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
DOI :
10.1109/LFNM.2005.1553227
