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Atomic, WA-systems, and R-functions applied in modern radio physics problems: Part I

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Abstract

The main physical applications of atomic, WA-systems, and R-functions are presented. The Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic functions. Applications of atomic functions in the theory of probability and random processes, interpolation of stationary random processes with atomic functions, and a new class of probabilistic weighting functions used in digital signal and image processing are considered.

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Authors and Affiliations

  1. Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Mokhovaya ul. 11, korp. 7, Moscow, 125009, Russia

    V. F. Kravchenko, O. V. Kravchenko, V. I. Pustovoit & D. V. Churikov

Authors
  1. V. F. Kravchenko
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  2. O. V. Kravchenko
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  3. V. I. Pustovoit
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  4. D. V. Churikov
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Corresponding author

Correspondence to V. F. Kravchenko.

Additional information

Original Russian Text © V.F. Kravchenko, O.V. Kravchenko, V.I. Pustovoit, D.V. Churikov, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 10, pp. 949–978.

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Kravchenko, V.F., Kravchenko, O.V., Pustovoit, V.I. et al. Atomic, WA-systems, and R-functions applied in modern radio physics problems: Part I. J. Commun. Technol. Electron. 59, 981–1009 (2014). https://doi.org/10.1134/S1064226914090046

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  • DOI: https://doi.org/10.1134/S1064226914090046

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