Title :
Computer aided design of quartz crystal oscillators
Author :
Brendel, R. ; Marianneau, G. ; Blin, T. ; Brunet, M.
Author_Institution :
Lab. de Phys. et Metrol. des Oscillateurs, CNRS, Besancon, France
Abstract :
The last development of a simulation program specialized in the quartz crystal oscillator analysis is presented in this paper. The simulator actually being developed is using the full nonlinear Barkhausen criterion method. It consists in finding the frequency ω0 and the amplitude u0 which nullify both the real and imaginary parts of a characteristic complex polynomial P(u,jω) describing the oscillator behavior. The main nonlinearities come from the amplifying transistor described by using large signal admittance parameters y(u) obtained by means of an analog circuit simulator (SPICE). The paper presents the method used to derive and code the characteristic polynomial coefficients. This method has been successfully implemented for a Colpitts oscillator and is currently being used to build an oscillator library covering the most widely used structures. The validity and the predictive power of the model have been checked by using a circuit board and the comparison between experimental results and simulation is presented and discussed
Keywords :
Barkhausen effect; SPICE; analogue simulation; approximation theory; circuit CAD; crystal oscillators; nonlinear network synthesis; polynomials; Colpitts oscillator; SPICE; amplifying transistor; analog circuit simulator; analysis; characteristic complex polynomial; characteristic polynomial coefficients; circuit board; computer aided design; large signal admittance parameters; nonlinear Barkhausen criterion; nonlinearities; quartz crystal oscillators; simulation program; simulator; Admittance; Analog circuits; Analytical models; Circuit simulation; Computational modeling; Frequency; Oscillators; Polynomials; Predictive models; SPICE;
Conference_Titel :
Frequency Control Symposium, 1994. 48th., Proceedings of the 1994 IEEE International
Conference_Location :
Boston, MA
Print_ISBN :
0-7803-1945-1
DOI :
10.1109/FREQ.1994.398281