Results 11 to 20 of about 3,415,330 (329)
On the restriction of the Fourier transform to polynomial curves [PDF]
, 2007 We prove a Fourier restriction theorem on curves parametrised by the mapping P(t) = (P1(t),..., Pn(t)), where each of the P1,..., Pn is a real-valued polynomial and t belongs to an interval on which each of the P1,..., Pn "resembles" a ...
Dendrinos, S.
core +8 more sources
Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
core +4 more sources
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
openaire +3 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 and their optical implementation II
Journal of the Optical Society of America A: Optics and Image Science, and Vision, 1993 Haldun M Ozaktas
exaly +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
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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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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Fast Numerical Nonlinear Fourier Transforms [PDF]
IEEE Transactions on Information Theory, 2014 The nonlinear Fourier transform, which is also known as the forward scattering transform, decomposes a periodic signal into nonlinearly interacting waves.
S. Wahls, H. Poor
semanticscholar +1 more source