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

  • V. F. KravchenkoEmail author
  • A. V. Yurin
On the 60th Birthday of Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences

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.

Keywords

Communication Technology Atomic Function Window Function Sampling Theorem Effective Width 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Kotel’nikov Institute of Radio Engineering and ElectronicsRussian Academy of SciencesMoscowRussia
  2. 2.Bauman State Technical UniversityMoscowRussia

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