2013Unpublished venueRequires access

Sampling bessel functions and bessel sampling

Dragana Jankov Maširević, Tibor K. Pogány, Arpad Bariez, Aurél Galántai

Open publisher page 6 citations

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.

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What this paper is about

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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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Bessel function, Bessel process, Cylindrical harmonics, Bessel polynomials, Sampling (signal processing), Mathematics, Bessel's inequality, Truncation (statistics)

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