Skip to main content
Log in

A Phase Method of Comparison of the Instantaneous Values of the Frequencies of Quasi-Harmonic Signals

  • RADIO MEASUREMENTS
  • Published:
Measurement Techniques Aims and scope

The present article considers a method of phase comparison of the instantaneous values of the frequencies of quasi-harmonic signals with slowly varying parameters, based on a parametric algorithm for estimation of the lag angle. It is shown that the errors of the method are comparable with the errors of the classical quadrature heterodyne method in comparing signals with constant frequency difference. The advantage of the proposed method lies in a four-fold reduction in the number of computational operations. The theoretical conclusions are supported by numerical and field experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. J. Bloom et al., “An optical lattice clock with accuracy and stability at the 10–18 level,” Nature, 506, 71–75 (2014).

    Article  ADS  Google Scholar 

  2. P. P. Ornatskii, Automatic Measurements and Analog and Digital Devices, Vishcha Shkoka, Kiev (1986).

    Google Scholar 

  3. ITU-T O.171, Jitter and Wander Measuring Equipment for Digital Systems Which Are Based on the Synchronous Digital Hierarchy (1997).

  4. A. B. Dyukin, S. Yu. Medvedev, and K. G. Mishagin, “A promising digital frequency comparator/analyzer of phase noise,” Vest. Metrologa, No. 2, 18–20 (2011).

    Google Scholar 

  5. A. B. Sergienko, Digital Processing of Signals, Piter, St. Petersburg (2002).

    Google Scholar 

  6. V. K. Ignat’ev, A. V. Nikitin, V. Kh. Bernardo-Saprykin, and A. A. Orlov, “Measurement of the phase difference of quasi-harmonic signals in real time,” Nauka i Obrazov., No. 7 (2013), http://dx.doi.org/10.7463/0713.0588392, acces. July 21, 2015.

  7. V. K.Ignat’ev, A. V. Nikitin, and S. V. Yushanov, “On the uniquenss of the quasi-harmonic representation,” Vest. VolGU, Ser. 1, Iss. 13, 137–150 (2010).

  8. B. R. Levin, Theoretical Foundations of Statistical Radio Engineering, Radio i Svyaz, Moscow (1989).

    MATH  Google Scholar 

  9. GOST R8.607–2004, GSI. State Measurement Chain for Instruments for Measurement of Frequency Deviation.

  10. V. K. Ignat’ev and D. A. Stankevich, “A hardware-software complex for parametric analysis of signals in problems of technical diagnostics,” Inzh. Vestn. Dona, No. 3 (2013), http://ivdon.ru/uploads/article/pdf/IVD_106_ignatjev.pdf_1843.pdf, acces. April 26, 2015.

  11. G. Kramer, Mathematical Methods of Statistics [Russian translation], Mir, Moscow (1975).

  12. H. Nicholas III and H. Samueli, “An analysis of the output spectrum of direct digital frequency synthesizers in the presence of phase-accumulator truncation,” 41st Ann. Frequency Control Symp. (1987), pp. 495–502.

  13. M. J. Flanagan and G. A. Zimmerman, “Spur-reduced digital sinusoid synthesis,” IEEE Trans. Commun., 43, No. 7, 2254–2262 (1995).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Orlov.

Additional information

Translated from Izmeritel’naya Tekhnika, No. 7, pp. 48–53, July, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ignat’ev, V.K., Orlov, A.A. & Stankevich, D.A. A Phase Method of Comparison of the Instantaneous Values of the Frequencies of Quasi-Harmonic Signals. Meas Tech 59, 752–759 (2016). https://doi.org/10.1007/s11018-016-1042-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-016-1042-x

Keywords

Navigation