A Bayesian method for oscillator stability analysis

Author

Vernotte, François ; Zalamansky, Gilles

Author_Institution

Obs., Univ. de Franche-Comte, Besancon, France

Volume

46

Issue

6

fYear

1999

Firstpage

1545

Lastpage

1550

Abstract

The power spectral density of frequency fluctuations of an oscillator is generally modeled as a sum of power laws with integer exponents (from -2 to +2). However, a power law with a fractional exponent may exist. We propose a method for measuring the level of such a noise process and determining the probability density of the exponent. This yields a criterion for compatibility with an integer exponent. This method is based on a Bayesian approach called the reference analysis of Bernardo-Berger. The application to a sequence of frequency measurement from a quartz oscillator illustrates this paper.

Keywords

Bayes methods; circuit noise; circuit stability; crystal oscillators; Bayesian method; Bernardo-Berger reference analysis; SiO/sub 2/; fractional exponent; frequency fluctuations; frequency measurement; noise; power law; power spectral density; probability density; quartz oscillator; stability analysis; Bayesian methods; Density measurement; Frequency measurement; Noise level; Noise measurement; Oscillators; Sampling methods; Stability analysis; White noise; Yield estimation;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/58.808879

Filename

808879