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Fractional Fourier Transform [PDF]
, 2010 Chapter ...
Ozaktas, Haldun M. +2 more
openaire +3 more sources
Circuit of Quantum Fractional Fourier Transform
Fractal and Fractional, 2023 In this paper, we first use the quantum Fourier transform (QFT) and quantum phase estimation (QPE) to realize the quantum fractional Fourier transform (QFrFT).
Tieyu Zhao, Yingying Chi
doaj +1 more source
The Fourier Transform on Quantum Euclidean Space [PDF]
, 2010 We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Coulembier, Kevin
core +5 more sources
On Katugampola Fourier Transform
Journal of Mathematics, 2019 The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform.
Tariq O. Salim +2 more
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Tempered distributions and Fourier transform on the Heisenberg group [PDF]
, 2017 The final goal of the present work is to extend the Fourier transform on the Heisenberg group $\H^d,$ to tempered distributions. As in the Euclidean setting, the strategy is to first show that the Fourier transform is an isomorphism on the Schwartz space,
Bahouri, Hajer +2 more
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Fourier and Inverse Fourier Transform Model for Delayed Self-interferometry System
IEEE Photonics Journal, 2020 Understanding the effects of laser phase and frequency noise on laser interferometry is significant for evaluating the system performance. To precisely study the performance limit caused by laser frequency noise, here we propose and demonstrate a ...
Ling Zhang +8 more
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New Algorithm for Real-Valued Fourier Transform
Tikrit Journal of Engineering Sciences, 2023 This paper presents a direct algorithm for fast real discrete Fourier transform (RDFT) computing, using the discrete Fourier transform (DFT) conjugate symmetric property to reduce redundancies.
Sukaina K. Salih, Mounir T. Hamood
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Explicit Hermite-type eigenvectors of the discrete Fourier transform [PDF]
, 2015 The search for a canonical set of eigenvectors of the discrete Fourier transform has been ongoing for more than three decades. The goal is to find an orthogonal basis of eigenvectors which would approximate Hermite functions -- the eigenfunctions of the ...
Kuznetsov, Alexey
core +1 more source
Fourier-Transform Ghost Imaging with Hard X Rays. [PDF]
Physical Review Letters, 2016 Knowledge gained through x-ray crystallography fostered structural determination of materials and greatly facilitated the development of modern science and technology in the past century.
Hong Yu +6 more
semanticscholar +1 more source
FDA: Fourier Domain Adaptation for Semantic Segmentation [PDF]
Computer Vision and Pattern Recognition, 2020 We describe a simple method for unsupervised domain adaptation, whereby the discrepancy between the source and target distributions is reduced by swapping the low-frequency spectrum of one with the other. We illustrate the method in semantic segmentation,
Yanchao Yang, Stefano Soatto
semanticscholar +1 more source