If you have already installed Julia, you can install FractionalTransforms.jl in REPL using Julia package manager:
pkg> add FractionalTransformsCompute the Fractional Fourier transform by the following command:
frft(signal, order)Compute the Fractional Sine transform by the following command:
julia> frst(signal, order, p)Compute the Fractional Cosine transform by the following command:
julia> frct(signal, order, p)The 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.
- Add more examples relating to signal processing, image processing etc.
- Cover more algorithms, including Fractional Hadamard Transform, Fractional Gabor Transform...
I would like to express gratitude to
- Jeffrey C. O'Neill for what he has done in DiscreteTFDs.
- Digital computation of the fractional Fourier transform by H.M. Ozaktas; O. Arikan; M.A. Kutay; G. Bozdagt
- The discrete fractional cosine and sine transforms by Pei, Soo-Chang and Yeh, Min-Hung.
- https://nalag.cs.kuleuven.be/research/software/FRFT/
Please note that FRFT, FRST and FRCT are adapted from Matlab files, credits go to the original authors, bugs are my own.