Results 1 to 10 of about 2,594,498 (363)
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
doaj +4 more sources
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
doaj +2 more sources
Quadratic Fourier Transforms [PDF]
Annals of Functional Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castro, L. P. +4 more
openaire +5 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
The class of Clifford-Fourier transforms [PDF]
, 2011 Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
core +5 more sources
Convolution products for hypercomplex Fourier transforms
Journal of Mathematical Imaging and Vision, 2013 Hypercomplex Fourier transforms are increasingly used in signal processing for the analysis of higher-dimensional signals such as color images. A main stumbling block for further applications, in particular concerning filter design in the Fourier domain,
Bujack, Roxana +3 more
core +2 more sources
FNet: Mixing Tokens with Fourier Transforms [PDF]
North American Chapter of the Association for Computational Linguistics, 2021 We show that Transformer encoder architectures can be sped up, with limited accuracy costs, by replacing the self-attention sublayers with simple linear transformations that “mix” input tokens. Most surprisingly, we find that replacing the self-attention
J. Lee-Thorp +3 more
semanticscholar +1 more source
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 +2 more
doaj +1 more source