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An Analysis of the Noise Stability of Methods Used in Measurements of Distances by a Frequency-Based Range Finder

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Measurement Techniques Aims and scope

Analytic relationships for the errors that arise in measurements of the frequency of a harmonic signal of limited duration against a noise background with the use of spectral estimation of frequency and the weighted frequency averaging method are presented. Equality of the minimally attainable values of the error for both methods with equality of the asymptotic rate of decrease of the side lobes of the error envelope is demonstrated.

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References

  1. V. I. Tikhonov, Optimal Reception of Signals, Radio i Svyaz, Moscow (1983).

    Google Scholar 

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

  3. B. A. Atayants, V. M. Davydochkin, V. V. Yeserskii, et al., Precision Systems of Closely Spaced Frequencies in Commercial Radar Sets, Radiotekhnika, Moscow (2012).

    Google Scholar 

  4. V. M. Davydochkin and S. V. Davydochkin, “Weight functions for digital adaptive harmonic analysis of signals with multimode spectrum,” Radiotekhnika, No. 9, 11–20 (2009).

  5. S. L. Dolph, “A current distribution for Broadside arrays which optimizes the relationship between beam width and side lobe level,” Proc. IRE, No. 6, 335–348 (1946).

  6. I. F. Sokolov and D. E. Vakman, “Optikmal linear inphase antennas with continuous current distribution,” Radiotekh. Elektronika, No. 1, 46–55 (1958).

  7. V. M. Davydochkin, “Minimization of the error in measurement of distance in commercial frequency range finders with weighted averaging of the difference frequency,” Izmer. Tekhn., No. 10, 29–33 (2015).

  8. V. P. Dvorkovich and A. V. Dvorkovich, Window Functions for Harmonic Signal Analysis, Tekhnosfera, Moscow (2014).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Kontakt-1 Company, Ryazan, Russia

    V. M. Davydochkin

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  1. V. M. Davydochkin
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Correspondence to V. M. Davydochkin.

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Translated from Izmeritel’naya Tekhnika, No. 4, pp. 22–25, April, 2016.

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Davydochkin, V.M. An Analysis of the Noise Stability of Methods Used in Measurements of Distances by a Frequency-Based Range Finder. Meas Tech 59, 374–379 (2016). https://doi.org/10.1007/s11018-016-0974-5

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  • DOI: https://doi.org/10.1007/s11018-016-0974-5

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