抽样贝塞尔函数和贝塞尔抽样

2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI) Pub Date : 2013-05-23 DOI:10.1109/SACI.2013.6608942

Dragana Jankov Maširević, T. Pogány, Á. Baricz, A. Galántai

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引用次数: 7

摘要

本文的主要目的是建立贝塞尔函数Yv, Iv的抽样展开级数形式的求和公式;和Kv，得到y -贝塞尔采样序列近似中出现的尖锐截断误差上界。主要的推导工具是著名的Kramer抽样定理和贝塞尔的各种性质以及修正的贝塞尔函数，这些性质导致了所谓的贝塞尔抽样，即当初始信号函数的抽样节点与不同圆柱函数的一组零点重合时。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sampling bessel functions and bessel sampling

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.

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来源期刊

2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)

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