Matlab code for the Discrete Hankel Transform

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1 Mechanical Engineering, Polytechnic School of Montreal, Montréal, Québec, Canada
2 Mechanical Engineering, University of Ottawa, Ottawa, Ontario, Canada
DOI
10.7287/peerj.preprints.2216v1
Published
Accepted
Subject Areas
Algorithms and Analysis of Algorithms, Scientific Computing and Simulation, Theory and Formal Methods
Keywords
Hankel Transform, Matlab code, discrete transform, DFT, DHT
Copyright
© 2016 Chouinard et al.
Licence
This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ Preprints) and either DOI or URL of the article must be cited.
Cite this article
Chouinard U, Baddour N. 2016. Matlab code for the Discrete Hankel Transform. PeerJ Preprints 4:e2216v1

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.

Author Comment

This is a software meta paper currently under review with the Journal of Open Research Software.