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New constructions of 1D and 2D generalized Kravchenko-Kotel’nikov theorems on the basis of atomic function up(t)

  • On the 60th Birthday of Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences
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Abstract

New constructions of 1D and 2D generalized Kravchenko-Kotel’nikov sampling theorems based on atomic function up(t) are proposed and justified. The theorems are rigorously proved for both 2D and 1D cases. A simulation performed to analyze the construction and improvement of new series estimates shows their advantage over the classical Whittaker-Kotel’nikov-Shannon series.

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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

  2. Bauman State Technical University, Vtoraya Baumanskaya ul. 5, korp. 1, Moscow, 107005, Russia

    A. V. Yurin

Authors
  1. V. F. Kravchenko
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  2. A. V. Yurin
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Corresponding author

Correspondence to V. F. Kravchenko.

Additional information

Original Russian Text © V.F. Kravchenko, A.V. Yurin, 2013, published in Radiotekhnika i Elektronika, 2013, Vol. 58, No. 9, pp. 971–976.

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Kravchenko, V.F., Yurin, A.V. New constructions of 1D and 2D generalized Kravchenko-Kotel’nikov theorems on the basis of atomic function up(t). J. Commun. Technol. Electron. 58, 945–950 (2013). https://doi.org/10.1134/S1064226913090088

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  • DOI: https://doi.org/10.1134/S1064226913090088

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