Advertisement

Estimate of the Average Power of Signals with Fluctuations in the Phases of the Components of Harmonic Oscillations with Aperture Uncertainty of an Analog-to-Digital Converter

  • S. A. Zasypkin
  • O. Yu. RozinaEmail author
RADIO MEASUREMENTS

Results are presented from studies of the estimation of the average power of signals with phase fluctuations of the components of harmonic oscillations. These studies take into account the spectral composition of the signal, as well as the characteristics of the phase fluctuations, along with the aperture uncertainty and sampling frequency of an analog-to-digital converter. Analytic expressions are obtained for the numerical characteristics of the distribution of this estimate for a normal probability distribution of the random quantities with uncorrelated random processes.

Keywords

signal spectrum harmonic oscillations phase fluctuations average power sampling aperture uncertainty estimate covariance 

References

  1. 1.
    I. N. Kovalenko and B.V. Gnedenko, Probability Theory, Vyshcha Shkola (1990).Google Scholar
  2. 2.
    V. G. Patyukov, E. V. Patyukov, and A. A. Silant’ev, “Estimating the signal-to-noise ratio based on phase fl uctuations of the signal,” Zh. Radioelektr., No. 4, 1–10 (2013).Google Scholar
  3. 3.
    S. N. Bel’chikov, “Phase noise in a spectrum analyzer: how to bring it below –120 dB/Hz for a detuning of 10 kHz at frequencies up to 14 GHz or the battle for decibels,” Kompon. Tekhnol., No. 5, 139–146 (2009).Google Scholar
  4. 4.
    J. Max, Methods and Techniques of Signal Processing in Physical Measurements [Russian translation], Mir, Moscow (1983), Vol. 1.Google Scholar
  5. 5.
    V. S. Pugachev, The Theory of Ransom Functions and Its Application to Automatic Control Problems, Fizmatgiz, Moscow (1962).Google Scholar
  6. 6.
    O. Yu. Rozina and Yu. I. Didik, “Error of an algorithm for calculating the result of a measurement of active power in an electrical circuit with polyharmonic processes,” Izmer. Tekhn., No. 7, 38–42 (1995).Google Scholar
  7. 7.
    O. Yu. Rozina, “The effect of aperture uncertainty of an analog-to-digital converter on the result of measurements of the active power of a periodic nonsinusoidal current,” Metrologiya, No. 8, 33–48 (2014).Google Scholar
  8. 8.
    J. Bendat and A. Piersol, Applied Analysis of Random Data [Russian translation], Mir, Moscow (1989).Google Scholar
  9. 9.
    W. Eadie, D. Driyard, F. James, et al., Statistical Methods in Experimental Physics [Russian translation], Atomizdat, Moscow (1976).Google Scholar
  10. 10.
    H. Cramer, Mathematical Methods of Statistics [Russian translation], Mir (1975).Google Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Urals Research Institute of Metrology (UNIIM)EkaterinburgRussia

Personalised recommendations