Skip to main content
Log in

Minimization of Error in Distance Measurement in Industrial-Grade Frequency Range Finders with Weighted Averaging of Difference Frequency

  • Published:
Measurement Techniques Aims and scope

Analytic relationships for the errors in measurements of the frequency of a harmonic signal of limited length against a noise background with the use of the weighted method of frequency averaging are presented. Two parameters that provide an objective description of the properties of weighting functions in problems involved in the measurement of the frequency of a signal against a noise background are proposed. Optimality criteria of the weighting functions are formulated and a method of minimization of the measurement error is proposed.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. B. A. Atayants, V. M. Davydochkin, V. V. Yezerskii, V. S. Parshin, and S. M. Smol’skii, Precision Systems of Near-Range Frequency Radar for Industrial Applications, Radiotekhnika, Moscow (2012).

    Google Scholar 

  2. K. O. Edvardson, Patent 381745 Sweden, "Satt och anerdning for avstandsmatning med frekvens-modulerade kontinuerliga mikrovagor," publ. Dec. 15, 1975.

  3. V. V. Yezerskii and I. V. Baranov, "Optimization of the weighting method of smoothing a digitization error with the use of a frequency range finder," Izmer. Tekhn., No. 12, 19–23 (2004).

  4. V. M. Dadydochkin, "Influence of “virtual noise” on the error in the estimation of the difference frequency of a frequency level gage," Vest. RGRTA, Ryazan (2007), Iss. 20, pp. 47–54.

  5. I. S. Gonorovskii, Radar Targets and Signals, Radio i Svyaz, Moscow (1986).

    Google Scholar 

  6. V. M. Dadydochkin and S. V. Dadydochkina, "Weighting functions for digital adaptive harmonic analysis of signals," Radiotekhnika, No. 9, 11–20 (2009).

  7. V. P. Dvorkovich and A.V. Dvorkovich, Window Functions for Harmonic Analysis of Signals, Tekhnosfera, Moscow (2014).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. M. Davydochkin.

Additional information

Translated from Izmeritel’naya Tekhnika, No. 10, pp. 29–33, October, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Davydochkin, V.M. Minimization of Error in Distance Measurement in Industrial-Grade Frequency Range Finders with Weighted Averaging of Difference Frequency. Meas Tech 58, 1119–1126 (2016). https://doi.org/10.1007/s11018-015-0852-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-015-0852-6

Keywords

Navigation