Discrete-Hankel-Transform

Version 1.0 (45.2 KB) by Adi Natan
Calculate the Discrete Hankel Transform with consistent operation rules and functionality (zero padding, array support)
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Updated Thu, 10 Sep 2020 20:30:17 +0000

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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 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.

DHT example img

Cite As

Adi Natan (2024). Discrete-Hankel-Transform (https://github.com/adinatan/Discrete-Hankel-Transform/releases/tag/v1.0), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2021a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Bessel Zero Solver

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Version Published Release Notes
1.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.