{"id":15286701,"url":"https://github.com/scifracx/fractionaltransforms.jl","last_synced_at":"2025-05-07T03:47:19.267Z","repository":{"id":45585149,"uuid":"420145591","full_name":"SciFracX/FractionalTransforms.jl","owner":"SciFracX","description":"FractionalTransforms.jl: A Julia package aiming at providing fractional order transforms with high 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FractionalTransforms.jl\n\n\u003cp align=\"center\"\u003e\n\u003cimg width=\"250px\" src=\"https://raw.githubusercontent.com/SciFracX/FractionalTransforms.jl/master/docs/src/assets/logo.svg\"/\u003e\n\u003c/p\u003e\n\n\u003cp align=\"center\"\u003e\n  \u003ca href=\"https://github.com/SciFracX/FractionalTransforms.jl/actions?query=workflow%3ACI\"\u003e\n    \u003cimg alt=\"building\" src=\"https://github.com/SciFracX/FractionalTransforms.jl/workflows/CI/badge.svg\"\u003e\n  \u003c/a\u003e\n  \u003ca href=\"https://codecov.io/gh/SciFracX/FractionalTransforms.jl\"\u003e\n    \u003cimg alt=\"codecov\" src=\"https://codecov.io/gh/SciFracX/FractionalTransforms.jl/branch/master/graph/badge.svg\"\u003e\n  \u003c/a\u003e\n  \u003ca href=\"https://www.erikqqy.xyz/FRFT.jl/dev/\"\u003e\n    \u003cimg src=\"https://img.shields.io/badge/docs-dev-blue.svg\" alt=\"license\"\u003e\n  \u003c/a\u003e\n  \u003ca href=\"https://github.com/SciFracX/FractionalTransforms.jl/blob/master/LICENSE\"\u003e\n    \u003cimg src=\"https://img.shields.io/github/license/SciFracX/FractionalTransforms.jl?style=flat-square\" alt=\"license\"\u003e\n  \u003c/a\u003e\n\u003c/p\u003e\n\n\u003cp align=\"center\"\u003e\n  \u003ca href=\"https://github.com/SciFracX/FractionalTransforms.jl/issues\"\u003e\n    \u003cimg alt=\"GitHub issues\" src=\"https://img.shields.io/github/issues/SciFracX/FractionalTransforms.jl?style=flat-square\"\u003e\n  \u003c/a\u003e\n  \u003ca href=\"#\"\u003e\n    \u003cimg alt=\"GitHub stars\" src=\"https://img.shields.io/github/stars/SciFracX/FractionalTransforms.jl?style=flat-square\"\u003e\n  \u003c/a\u003e\n  \u003ca href=\"https://github.com/SciFracX/FractionalTransforms.jl/network\"\u003e\n    \u003cimg alt=\"GitHub forks\" src=\"https://img.shields.io/github/forks/SciFracX/FractionalTransforms.jl?style=flat-square\"\u003e\n  \u003c/a\u003e\n\u003c/p\u003e\n\n## Installation\n\nIf you have already installed Julia, you can install FractionalTransforms.jl in REPL using Julia package manager:\n\n```julia\npkg\u003e add FractionalTransforms\n```\n\n## Quick start\n\n### Fractional Fourier Transform\n\nCompute the Fractional Fourier transform by the following command:\n\n```julia\nfrft(signal, order)\n```\n\n### Fractional Sine Transform\n\nCompute the Fractional Sine transform by the following command:\n\n```julia\njulia\u003e frst(signal, order, p)\n```\n\n### Fractional Cosine Transform\n\nCompute the Fractional Cosine transform by the following command:\n\n```julia\njulia\u003e frct(signal, order, p)\n```\n\n## Introduce\n\nThe custom Fourier Transform transforms the input signal from time domain to frequency domain, the Fractional Fourier transform, in a more generalized aspect, can transform the input signal to the fractional domain, reveal more properties and features of the signal.\n\n## Plans\n\n* Add more examples relating to signal processing, image processing etc.\n* Cover more algorithms, including Fractional Hadamard Transform, Fractional Gabor Transform...\n\n## Acknowledgements\n\nI would like to express gratitude to \n\n* *Jeffrey C. O'Neill* for what he has done in [DiscreteTFDs](http://tfd.sourceforge.net/).\n* [Digital computation of the fractional Fourier transform](https://ieeexplore.ieee.org/document/536672) by [H.M. Ozaktas](https://ieeexplore.ieee.org/author/37294843100); [O. Arikan](https://ieeexplore.ieee.org/author/37350304900); [M.A. Kutay](https://ieeexplore.ieee.org/author/37350303800); [G. Bozdagt](https://ieeexplore.ieee.org/author/37086987430)\n* [The discrete fractional cosine and sine transforms](http://dx.doi.org/10.1109/78.923302) by Pei, Soo-Chang and Yeh, Min-Hung.\n* https://nalag.cs.kuleuven.be/research/software/FRFT/\n\n\u003e Please note that FRFT, FRST and FRCT are adapted from Matlab files, credits go to the original authors, bugs are my own.","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fscifracx%2Ffractionaltransforms.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fscifracx%2Ffractionaltransforms.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fscifracx%2Ffractionaltransforms.jl/lists"}