It is shown that in precision measurements of frequency instability the method of three oscillators (threegenerator hat method) produces a substantial reduction in the errors associated with the noise of the frequency comparators and that associated with the reference signal. Several practical realizations of the method with different measurement errors are considered. A comparison of the data of the realizations is carried out and recommendations for application of the method are presented.
Similar content being viewed by others
References
J. Groslambert et al., “Characterization of frequency fluctuations by crosscorrelations and by using three or more oscillators,” Ann. 35 Freq. Symp., Philadelphia (1981), pp. 458–463.
J. A. Barnes et al., “Characterization of frequency instability,” IEEE Trans. Instrum. Meas., IM-20, No. 2, 105 (1971).
J. Rutman, “Characterization of phase and frequency instability in precision frequency sources: Fifteen years of progress,” Proc. IEEE, 66, No. 9, 1048 (1978).
K. Yoshimura, “Characterization of frequency stability: uncertainty due to the autocorrelation of the frequency fluctuations,” IEEE Trans. Instrum. Meas., IM-27, No. 1 (1978).
C. Greenhall and W. Riley, “Uncertainty of stability variances based on finite differences,” Proc. 35th PTTI Meeting (2003), pp. 267–279.
I. N. Chernyshev and K. G. Mishagin, “Optimal measurement of frequency instability in a multi-channel comparator,” Izmer. Tekhn., No. 9, 13–17 (2009); Measur. Techn., 52, No. 9, 931–939 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 7, pp. 37–41, July, 2012.
Rights and permissions
About this article
Cite this article
Chernyshev, I.N., Belyaev, A.A. & Mishagin, K.G. Error in measurement of frequency instability by method of three oscillators. Meas Tech 55, 792–799 (2012). https://doi.org/10.1007/s11018-012-0041-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-012-0041-9