A probabilistic analysis of the crystal oscillator behavior at low drive levels

Yuriy S. Shmaliy; Rémi Brendel

doi:10.1117/12.795284

5 March 2008 A probabilistic analysis of the crystal oscillator behavior at low drive levels

Yuriy S. Shmaliy, Rémi Brendel

Proceedings Volume 7009, Second International Conference on Advanced Optoelectronics and Lasers; 70091H (2008) https://doi.org/10.1117/12.795284
Event: Second International Conference on Advanced Optoelectronics and Lasers, 2005, Yalta, Ukraine

Abstract

The paper discusses a probabilistic model of a crystal oscillator at low drive levels where the noise intensity is comparable with the oscillation amplitude. The stationary probability density of the oscillations envelope is derived and investigated for the nonlinear resonator loses. A stochastic explanation is given for the well-known phenomenon termed sleeping sickness associated with losing a facility of self-excitation by a crystal oscillator after a long storage without a power supply. It is shown that, with low drive levels leading to an insufficient feedback, a crystal oscillator generates the noise-induced oscillations rather than it absolutely "falls in sleep".

Citation Download Citation

Yuriy S. Shmaliy and Rémi Brendel "A probabilistic analysis of the crystal oscillator behavior at low drive levels", Proc. SPIE 7009, Second International Conference on Advanced Optoelectronics and Lasers, 70091H (5 March 2008); https://doi.org/10.1117/12.795284

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