Results 11 to 20 of about 2,594,498 (363)
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 +2 more
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Arbitrary optical wave evolution with Fourier transforms and phase masks. [PDF]
Optics Express, 2019 A large number of applications in classical and quantum photonics require the capability of implementing arbitrary linear unitary transformations on a set of optical modes. In a seminal work by Reck et al. [Phys. Rev.
Víctor López Pastor +2 more
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A Primer on Fourier Analysis for the Geosciences, 2019 (Here R denotes the set of real numbers, and R+ denotes the set of positive real numbers.) This series is called the real spectral-decomposition-form Fourier series of the period-p function y because of Jean Baptiste Joseph Fourier’s book on heat ...
Gary D. Knott
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Irregularity-Aware Graph Fourier Transforms [PDF]
IEEE Transactions on Signal Processing, 2018 In this paper, we present a novel generalization of the graph Fourier transform (GFT). Our approach is based on separately considering the definitions of signal energy and signal variation, leading to several possible orthonormal GFTs.
Benjamin Girault +2 more
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Approximate Fast Graph Fourier Transforms via Multilayer Sparse Approximations [PDF]
IEEE Transactions on Signal and Information Processing over Networks, 2016 The fast Fourier transform is an algorithm of paramount importance in signal processing as it allows to apply the Fourier transform in $\mathcal {O}(n \log n)$ instead of $\mathcal {O}(n^2)$ arithmetic operations.
Luc Le Magoarou +2 more
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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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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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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
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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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Nonlinearizad of Fast Fourier Transform
Цифровые модели и решения, 2023 A unified mathematical form of reversible nonlinear transformations based on a nonlinear tensor product is presented in the form of fast algorithms.
Valeriy Labunets +2 more
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