Open AccessMatlab Code for the Discrete Hankel Transform
Author(s) -
Natalie Baddour,
Ugo Chouinard
Publication year - 2017
Publication title -
journal of open research software
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.385
H-Index - 6
ISSN - 2049-9647
DOI - 10.5334/jors.82
Subject(s) - hankel transform , discrete hartley transform , discrete fourier transform (general) , convolution (computer science) , discrete sine transform , orthogonality , circular convolution , fast fourier transform , hartley transform , convolution theorem , computer science , fourier transform , multiplication (music) , mathematics , algorithm , fractional fourier transform , mathematical analysis , fourier analysis , geometry , combinatorics , machine learning , artificial neural network
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