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The generalized discrete fractional fourier transforms

IEEE International Conference on Acoustics Speech and Signal Processing, 2002
In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT.
openaire   +1 more source

Relationship of fractional Hilbert transform with Fourier and fractional Fourier Transforms

AIP Conference Proceedings
Akilahmad G. Sheikh   +2 more
openaire   +1 more source

General optical implementations of fractional Fourier transforms

Optics Letters, 1995
Yan Zhang, Shutian Liu, Chunfei Li
exaly  

Numerical calculation of fractional Fourier transforms with a single fast-Fourier-transform algorithm

Journal of the Optical Society of America A: Optics and Image Science, and Vision, 1998
FRANCISCO J Marinho
exaly  

Optical fractional Fourier transforms with complex orders

Applied Optics, 1996
Luis M Bernardo   +2 more
exaly  

Real Discrete Fractional Fourier, Hartley, Generalized Fourier and Generalized Hartley Transforms With Many Parameters

IEEE Transactions on Circuits and Systems I: Regular Papers, 2015
Wen-Liang Hsue
exaly  

Fourier transforms, fractional derivatives, and a little bit of quantum mechanics

Rocky Mountain Journal of Mathematics, 2020
Fabio Bagarello
exaly  

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