Discrete-Hankel-Transform-master
所属分类：其他
开发工具：matlab
文件大小：46KB
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上传日期：2022-03-02 16:35:00
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Bright
说明： 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,
文件列表:
DHT.m (14465, 2021-08-03)
DHTex.png (40803, 2021-08-03)
LICENSE (1066, 2021-08-03)
[](https://www.mathworks.com/matlabcentral/fileexchange/97007-discrete-hankel-transform)
# Discrete-Hankel-Transform
The code follows a similar path of the Discrete Fourier transform (DFT), including properties such as orthogonality and invertibility, as well as the typical discrete shift, modulation, multiplication, and convolution rules. This is unlike past definitions of DHT that approximated the continuous integral transform without the properties mentioned.
This code is based on: Baddour, N. and Chouinard, U., 2017. Journal of Open Research Software, 5(1), p.4. [doi.org/10.5334/jors.82](https://doi.org/10.5334/jors.82)
with a few improvements: The Y matrix code is now vectorized making it ~ x20 faster, there are optional zero padding and arrays support input similar to Matlab's FFT functionality, meaning that the Bessel zeros and Y matrix are only calculated once. The Bessel zeros calculation code uses the updated version by Jason Nicholson.
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