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Quantum‐Inspired Fourier Transforms Based on Circuits [PDF]

Advanced Science
Fourier transform (FT) is ubiquitous in modern society due to their broad applications in many branches of science and engineering. Improving the speed of FT is a common interest in the fields of signal processing. The quantum FT is generally believed to
Hanxu Zhang, Yifan Sun, Xiangdong Zhang
doaj   +2 more sources

Building a symbolic computer algebra toolbox to compute 2D Fourier transforms in polar coordinates [PDF]

MethodsX, 2015
The development of a symbolic computer algebra toolbox for the computation of two dimensional (2D) Fourier transforms in polar coordinates is presented. Multidimensional Fourier transforms are widely used in image processing, tomographic reconstructions ...
Edem Dovlo, Natalie Baddour
doaj   +2 more sources

Generalized Fourier-Mukai Transforms [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 1996
The paper sets out a generalized framework for Fourier-Mukai transforms and illustrates their use via vector bundle transforms. A Fourier-Mukai transform is, roughly, an isomorphism of derived categories of (sheaves) on smooth varieties X and Y.
Maciocia, Antony
core   +3 more sources

Implementation of quantum and classical discrete fractional Fourier transforms [PDF]

Nature Communications, 2016
Fourier analysis has become a standard tool in contemporary science. Here, Weimann et al. report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform, with potential ...
Steffen Weimann, Armando Perez-Leija, Maxime Lebugle, Robert Keil, Malte Tichy, Markus Gräfe, René Heilmann, Stefan Nolte, Hector Moya-Cessa, Gregor Weihs, Demetrios N. Christodoulides, Alexander Szameit   +11 more
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New iterative technique for computing Fourier transforms. [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2023
The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
doaj   +1 more source

New many-parameter Fourier–Clifford transforms

Цифровые модели и решения, 2023
The article shows how ordinary complex-valued Fourier transforms are extended to Cliffordean-valued many-parameter Fourier transforms (MPFCTs). Each MPFCT depends on finite set of independent parameters (angles), which could be changed independently one ...
V. G. Labunets, V. P. Chasovskikh, E. N. Starikov   +2 more
doaj   +1 more source

Nuclear Fourier Transforms

Journal of Fourier Analysis and Applications, 2023
AbstractThe paper deals with the problem under which conditions for the parameters $$s_1,s_2\in \mathbb R$$ s 1 , s 2 ∈
Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel   +2 more
openaire   +2 more sources

Weighted inequalities for Hilbert transforms and multiplicators of Fourier transforms

Journal of Inequalities and Applications, 1997
As is well known, invariant operators with a shift can be bounded from Lp into Lq only if ...
A. Meskhi, V. Kokilashvili
doaj   +2 more sources

Fractional Fourier transforms of vortex Hermite-cosh-Gaussian beams

Results in Optics, 2021
In this paper, we investigate the propagation properties of a vortex Hermite-cosh-Gaussian beam (vHChGB) passing through a fractional Fourier transform (FRFT) optical system.
E.M. El Halba, Z. Hricha, A. Belafhal
doaj   +1 more source

Different computational approach for Fourier transforms by using variational iteration method

Journal of New Results in Science, 2022
In this paper, we present another method for computing Fourier transforms of functions considering the Variational Iteration Method (VIM). Through our procedure, the Fourier transforms of functions can be calculated precisely and without reference to ...
Murat Düz, Ahmad Issa
doaj   +1 more source