Results 1 to 10 of about 40,883 (310)
Quantum‐Inspired Fourier Transforms Based on Circuits [PDF]
Advanced ScienceFourier 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
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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
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New many-parameter Fourier–Clifford transforms [PDF]
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 +2 more
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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 +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
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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
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On the Clifford-Fourier Transform [PDF]
International Mathematics Research Notices, 2011 For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i π}{2} Γ_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform, where $Γ_{y} := - \sum_ ...
De Bie, Hendrik, Xu, Yuan
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Fractional Fourier Transform [PDF]
2001 European Control Conference (ECC), 2010 Chapter ...
Ozaktas, Haldun M. +2 more
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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
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The Discrete Fourier Transform Over the Binary Finite Field
IEEE Access, 2023 The novel methods for binary discrete Fourier transform (DFT) computation over the finite field have been proposed. The methods are based on a binary trace calculation over the finite field and use the cyclotomic DFT.
Sergei Valentinovich Fedorenko
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