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Estimation of Statistical Characteristics of Antenna Arrays with Axial Symmetry under Condition of Small Phase Errors

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Abstract

The method for estimating statistical characteristics of radiation field, amplitude-phase distribution, and correlation function of phase errors of arbitrary aperture antennas is presented. It is convenient for analyzing the statistics of antenna arrays with axial symmetry. The main mean and fluctuation characteristics within the direct external problem of statistical antenna theory are determined on the example of cylindrical circular antenna array. The estimation of the mean power radiation pattern, main lobe direction fluctuation of array, and comparison with the known results are carried out. We show that according to the estimated statistical characteristics, circular cylindrical arrays occupy an intermediate position between linear and circular ones.

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References

  1. Y. S. Shifrin, Statistical Antenna Theory (Golem Press, 1971).

    Google Scholar 

  2. Y. S. Shifrin, "Pioneer Award: statistical antenna theory: formation and extension," IEEE Aerosp. Electron. Syst. Mag., v.31, n.8, p.24 (2016). DOI: https://doi.org/10.1109/MAES.2016.160032.

    Article  Google Scholar 

  3. L. G. Kornienko, "Statistics of the antenna arrays field with heterogeneous errors (Average antenna characteristics)," Radiotekhnika, v.2, n.201, p.7 (2020). DOI: https://doi.org/10.30837/rt.2020.2.201.01.

    Article  Google Scholar 

  4. L. G. Kornienko, "Influence of random phase errors on polarization characteristics of antenna array," Radioelectron. Commun. Syst., v.53, n.4, p.185 (2010). DOI: https://doi.org/10.3103/S0735272710040023.

    Article  Google Scholar 

  5. L. Kornienko, V. Kovalchuk, "Optimization of end-fire antenna arrays taking into account random phase errors," in 2020 IEEE Ukrainian Microwave Week (UkrMW) (IEEE, 2020). DOI: https://doi.org/10.1109/UkrMW49653.2020.9252744.

    Chapter  Google Scholar 

  6. R. J. Mailloux, Phased Array Antenna Handbook, 3rd ed. (Artech House, 2017).

    Google Scholar 

  7. В. I. Zamyatin, "On question of statistical characteristics of aperture antennas field," Antennas, v.19, p.45 (1974).

    Google Scholar 

  8. Y. S. Shifrin, V. I. Zamyatin, G. A. Levagin, "Statistical characteristics of radiation pattern of the ring antenna array," Telecommun. Radio Eng., v.67, n.20, p.1811 (2008). DOI: https://doi.org/10.1615/TelecomRadEng.v67.i20.30.

    Article  Google Scholar 

  9. G. A. Levagin, I. N. Bondarenko, V. N. Chepiga, "The statistical tests method application for calculating the axisymmetric antenna characteristics," in 4th International Conference on Antenna Theory and Techniques (Cat. No.03EX699) (IEEE, 2003). DOI: https://doi.org/10.1109/ICATT.2003.1239177.

    Chapter  Google Scholar 

  10. A. Shevchenko, S. Piskunov, G. Levagin, A. Dudush, V. Voinov, O. Yasynskyi, "Statistical charachteristics of cyllindrical antenna array," in 2020 IEEE Ukrainian Microwave Week (UkrMW) (IEEE, 2020). DOI: https://doi.org/10.1109/UkrMW49653.2020.9252818.

    Chapter  Google Scholar 

  11. J. L. Bohn, A Student’s Guide to Analytical Mechanics (Cambridge University Press, New York, 2018).

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Ivan Kozhedub Kharkiv National Air Force University, Kharkiv, Ukraine

    V. I. Zamyatin, G. A. Levagin & A. F. Shevchenko

  2. Lauffer Company, Horb am Neckar, Germany

    V. M. Chepiga

Authors
  1. V. I. Zamyatin
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  2. G. A. Levagin
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  3. V. M. Chepiga
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  4. A. F. Shevchenko
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Corresponding author

Correspondence to A. F. Shevchenko.

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ADDITIONAL INFORMATION

V. I. Zamyatin, G. A. Levagin, V. M. Chepiga, A. F. Shevchenko

The authors declare that they have no conflicts of interest.

This article does not contain any studies with human participants or animals performed by any of the authors.

The initial version of this paper in Russian is published in the journal “Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika,” ISSN 2307-6011 (Online), ISSN 0021-3470 (Print) on the link http://radio.kpi.ua/article/view/S0021347021090016 with DOI: https://doi.org/10.20535/S0021347021090016

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika, No. 9, pp. 528-537, September, 2021 https://doi.org/10.20535/S0021347021090016 .

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Zamyatin, V.I., Levagin, G.A., Chepiga, V.M. et al. Estimation of Statistical Characteristics of Antenna Arrays with Axial Symmetry under Condition of Small Phase Errors. Radioelectron.Commun.Syst. 64, 461–470 (2021). https://doi.org/10.3103/S0735272721090016

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  • DOI: https://doi.org/10.3103/S0735272721090016

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