DocumentCode :
635990
Title :
Sampling bessel functions and bessel sampling
Author :
Masirevic, Dragana Jankov ; Pogany, Tibor K. ; Bariez, Arpad ; Galantai, Aurel
Author_Institution :
Dept. of Math., Univ. of Osijek, Osijek, Croatia
fYear :
2013
fDate :
23-25 May 2013
Firstpage :
79
Lastpage :
84
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.
Keywords :
Bessel functions; approximation theory; signal sampling; Bessel function sampling; Y-Bessel sampling series approximation; cylinder functions; initial signal function sampling nodes; principal derivation tools; sampling expansion series; sharp truncation error upper bounds; summation formulae; Approximation methods; Computational intelligence; Educational institutions; Finite wordlength effects; Informatics; Kernel; Upper bound; 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;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Applied Computational Intelligence and Informatics (SACI), 2013 IEEE 8th International Symposium on
Conference_Location :
Timisoara
Print_ISBN :
978-1-4673-6397-6
Type :
conf
DOI :
10.1109/SACI.2013.6608942
Filename :
6608942
Link To Document :
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