A Bayesian Method for Oscillator Characterization

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 such a noise level and determining the probability density of the exponent. This yields a criterion, for compatibility with, an integer exponent. This method is based upon 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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1998
Accession Number
ADA508562

Entities

People

  • F. Vernotte
  • G. Zalamansky

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Bayes Theorem
  • Bayesian Networks
  • Data Science
  • Dead Time
  • Electronic Mail
  • Equations
  • Frequency
  • Information Science
  • Intervals
  • Models
  • Noise
  • Oscillators
  • Probability
  • Probability Distributions
  • Time Intervals
  • White Noise

Fields of Study

  • Mathematics
  • Physics

Readers

  • Statistical inference.
  • Thermal Physics or Thermal Science.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms