Sampling bessel functions and bessel sampling

Dragana Jankov Masirevic, Tibor K. Pogany, Arpad Bariez, Aurel Galantai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The main aim of this article is to establish summation formulae in form of sampling expansion series for Bessel functions Yv, Iv; and Kv, and obtain sharp truncation error upper bounds occurring in the Y-Bessel sampling series approximation. The principal derivation tools are the famous sampling theorem by Kramer and various properties of Bessel and modified Bessel functions which lead to the so-called Bessel sampling when the sampling nodes of the initial signal function coincide with a set of zeros of different cylinder functions.

Original languageEnglish
Title of host publicationSACI 2013 - 8th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings
Pages79-84
Number of pages6
DOIs
Publication statusPublished - Oct 31 2013
Event8th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2013 - Timisoara, Romania
Duration: May 23 2013May 25 2013

Publication series

NameSACI 2013 - 8th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings

Conference

Conference8th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2013
CountryRomania
CityTimisoara
Period5/23/135/25/13

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Keywords

  • Bessel functions of the first and second kind Jv, Yv
  • K v
  • Kramer's sampling theorem
  • Y- Bessel sampling
  • modified Bessel functions of the first and second kind Iv
  • sampling series expansions
  • sampling series truncation error upper bound

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Masirevic, D. J., Pogany, T. K., Bariez, A., & Galantai, A. (2013). Sampling bessel functions and bessel sampling. In SACI 2013 - 8th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings (pp. 79-84). [6608942] (SACI 2013 - 8th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings). https://doi.org/10.1109/SACI.2013.6608942