Advertisement

Measurement Techniques

, Volume 62, Issue 5, pp 390–395 | Cite as

Error in Overlap Estimation of Allan Variance

  • S. G. MaksimenkoEmail author
Article
  • 12 Downloads

We obtain the dependence of the error variation of the overlap estimate of the Allan variance on the overlap coefficient in a given observation time interval with frequency fluctuation noise of the main types. Analytical expressions of normalized autocorrelation functions of frequency variations are used.

Keywords

frequency fluctuations normalized autocorrelation function overlapping Allan variance estimate 

References

  1. 1.
    GOST 8.567–2014, Measurements of Time and Frequency. Terms and Definitions. Google Scholar
  2. 2.
    W. J. Riley, Symmetricom – Technology Realization Center, Beverly, MA 01915, IEEE Int. Frequency Control Symp., Tampa, FL, May 4, 2003.Google Scholar
  3. 3.
    W. J. Riley, Handbook of Frequency Stability Analysis, NIST Spec. Publ. 1065, July 2008.Google Scholar
  4. 4.
    IEEE Std 1139–1999, IEEE Standard Definitions of Physical Quantities Frequency and Time Metrology – Random Instabilities.Google Scholar
  5. 5.
    B. D. Borisov, “Metrological accuracy of signal frequency estimates and its instability in the time domain,” Metrology of Time and Space: Proc. 9th Int. Symp., VNIIFTRI, Mendeleevo (2018), pp. 52–54.Google Scholar
  6. 6.
    MI 2188–92, Measures ofFfrequency and Time. Method of Verification.Google Scholar
  7. 7.
    S. Ya. Vilenkin, Statistical Processing of Results from the Study of Random Functions, Energiya, Moscow (1979).Google Scholar
  8. 8.
    S. G. Maksimenko, “Distribution function of the estimate of Allan variance: theory and practice,” Izmer. Tekhn., No. 6, 20–25 (2018).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Central Research Institute of the Aerospace Defense ForcesDefense Ministry of the Russian FederationTverRussia

Personalised recommendations