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Matlab Code for the Discrete Hankel Transform Cover

Matlab Code for the Discrete Hankel Transform

Open Access
|Jan 2017

Abstract

Previous definitions of a Discrete Hankel Transform (DHT) have focused on methods to approximate the continuous Hankel integral transform without regard for the properties of the DHT itself. Recently, the theory of a Discrete Hankel Transform was proposed that follows the same path as the Discrete Fourier/Continuous Fourier transform. This DHT possesses orthogonality properties which lead to invertibility and also possesses the standard set of discrete shift, modulation, multiplication and convolution rules. The proposed DHT can be used to approximate the continuous forward and inverse Hankel transform. This paper describes the matlab code developed for the numerical calculation of this DHT.
DOI: https://doi.org/10.5334/jors.82 | Journal eISSN: 2049-9647
Language: English
Submitted on: Jun 19, 2015
Accepted on: Dec 8, 2016
Published on: Jan 11, 2017
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2017 Natalie Baddour, Ugo Chouinard, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.