Probabilistic properties of dynamic modulation characteristics of quartz oscillators

Authors

  • V. N. Roman’ko
  • Yu. S. Shmalii

DOI:

https://doi.org/10.3103/S073527271992110062

Abstract

A probabilistic analysis of the dynamic modulation characteristics (DMCs) of quartz self-excited oscillators (QSOs) in the vicinity of anharmonic resonances of a resonator is made. It is shown that the probability density functions of the phase and frequency DMCs obey the generalized Rice law. The expected values and variances of the DMCs were investigated in a fluctuating field of parameters of signals of a generalized scheme of QSOs. Results enabling making a conclusion about the necessary level of the amplitude of the modulating signal for which the DMCs acquire stabilizing properties providing minimum instability of the frequency of the output oscillations of the reference QSOs using the modulation method of frequency stabilization are obtained.

References

Shmalii, Yu. S.; Evdokimenko, Yu. I. "Modulation method of adaptation of reference quartz selfexcited oscillators," in: Frequency Stabilization, pt. 1 [in Russian]. Moscow: VIMI, 1989, p. 75-78.

Shmalii, Yu. S. "Dynamic distortions in frequency-modulated autooscillation systems," Radioelectron. Commun. Syst., Vol. 29, No. 12, P. 38-42, 1986.

Shmalii, Yu. S. "Bursts of dynamic modulation characteristics in precision quartz self-excited oscillators with frequency modulation," Radiotekhnika, No. 7, p. 36-39, 1991.

Tikhonov, V. I. Nonlinear Transformations of Stochastic Processes [in Russian]. Moscow: Radio i Svyaz, 1986.

Karpov, A. F. "Characteristics functions of the random phase of a radio signal," Radioelectron. Commun. Syst., Vol. 33, No. 3, p. 29-34, 1990.

Published

1992-11-06

Issue

Section

Research Articles