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Estimation of the Space–Time Spectrum of Waves Based on Circular Measuring Gratings

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Abstract

In this paper, a method for estimating the spectra of wave processes based on a special type of measuring lattices, which are a set of rotating and static sensors, called “circular,” is developed. A method for correcting spectra estimated on the basis of discrete digital series obtained from circular lattice sensors is described. Spectra estimates are based on the multidimensional maximum entropy method. The data of test calculations for several types of circular lattices are presented as applied to wave processes in the form of harmonics distorted by white noise. The effectiveness of the proposed method for correcting spectra is shown. The general principles of using circular lattices for estimating the spectra of wave processes with the help of sensors located on rotating satellites are outlined. The possibility of using this approach for estimating the spectra of wave processes using sensors installed on micro- and nanosatellites is discussed.

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REFERENCES

  1. Leonovich, A.S., Mazur, V.A., and Kozlov, D.A., MHD-waves in the geomagnetic tail: A review, Soln.-Zemnaya Fiz., 2015, vol. 1, no. 1, pp. 4–22.

    Article  Google Scholar 

  2. Pilipenko, V.A., MHD waves in space and on Earth: Historical aspect, Vestn. Otd. Nauk Zemle Ross. Akad. Nauk, 2021, vol. 13, p. NZ2001.

    Google Scholar 

  3. Guglielmi, A.V. and Potapov, A.S., Frequency-modulated ultra-low-frequency waves in near-Earth space, Phys.-Usp., 2021, vol. 64, no. 5, pp. 452–467.

    Article  ADS  Google Scholar 

  4. Capon, J., High-resolution frequency-wavenumber spectrum analysis, Proc. IEEE, 1969, vol. 57, no. 8, pp. 1408–1418.

    Article  Google Scholar 

  5. Johnson, D.H., The application of spectral estimation methods to bearing estimation problems, Proc. IEEE, 1982, vol. 70, no. 9, pp. 1018–1028.

    Article  ADS  Google Scholar 

  6. McClellan, J.H., Multidimensional spectral estimation, Proc. IEEE, 1982, vol. 70, no. 9, pp. 139–151.

    Article  MATH  Google Scholar 

  7. Marple, S.L., Jr., Digital Spectral Analysis with Applications, Hoboken, NJ: Prentice Hall, 1987.

    Google Scholar 

  8. Oppenheim, A. and Schafer, R., Digital Signal Processing, London: Pearson, 1975.

    MATH  Google Scholar 

  9. Ifeachor, E.C. and Jervis, B.W., Digital Signal Processing: A Practical Approach, Hoboken, NJ: Prentice Hall, 2001.

    Google Scholar 

  10. Dvoryaninov, G.S., Zhuravlev, V.M., and Prusov, A.V., Maximum entropy method in multivariate spectral analysis of time series, Mor. Gidrofiz. Zh., 1987, no. 3, pp. 41–48.

  11. Dvoryaninov, G.S., Zhuravlev, V.M., and Prusov, A.V., Synoptic waves in the Tropical Atlantic atmosphere and their relationship with the dynamics of intra-tropical convergence zone, Sov. J. Phys. Oceanogr., 1989, vol. 1, no. 2, pp. 77–86.

    Article  Google Scholar 

  12. Zhuravlev, V.M., Zhuravlev, A.V., and Egorov, G.A., Estimation of spatio-temporal spectra of wave processes based on a sequence of images using the multidimensional maximum entropy method, Izv. Vyssh. Uchebn. Zaved. Povolzhskii Reg., 2008, no. 3, pp. 71–81.

  13. Zhuravlev, V.M. and Fundaev, S.V., Signal spectral density calculation using a variable configuration antenna array, Izv. Vyssh. Uchebn. Zaved. Povolzhskii Reg., 2009, no. 3, pp. 101–112.

  14. Vinogradov, S.V., Zhuravlev, V.M., and Fundaev, S.V., Estimation of the spectral composition of the signal by the antenna composed of multiple satellites, Procedia Eng., 2015, vol. 104, pp. 15–22. https://doi.org/10.1016/j.proeng.2015.04.091

    Article  Google Scholar 

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Funding

The study was financially supported by the Russian Foundation for Basic Research and the Belarusian Republican Foundation for Basic Research within the framework of the scientific project no. 20-58-00018 and partly within the framework of Russian Foundation for Basic Research and project no. 20-02-00280, as well as within the framework of project no. 0777-2020-0018, financed from a state order to the winners of a competition of scientific laboratories of educational organizations of higher education subordinated to the Ministry of Education and Science of Russia in terms of the use of circular measuring lattices in space experiments.

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Authors and Affiliations

  1. Samara National Research University, 443086, Samara, Russia

    I. V. Belokonov, V. M. Zhuravlev & V. M. Morozov

  2. Novosibirsk State University, 630090, Novosibirsk, Russia

    V. M. Zhuravlev

Authors
  1. I. V. Belokonov
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  2. V. M. Zhuravlev
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  3. V. M. Morozov
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Correspondence to I. V. Belokonov.

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Belokonov, I.V., Zhuravlev, V.M. & Morozov, V.M. Estimation of the Space–Time Spectrum of Waves Based on Circular Measuring Gratings. Cosmic Res 61, 102–112 (2023). https://doi.org/10.1134/S0010952522700174

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  • DOI: https://doi.org/10.1134/S0010952522700174

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