Results 11 to 20 of about 744,050 (371)
Fractional Fourier Transform: Main Properties and Inequalities
Mathematics, 2023 The fractional Fourier transform is a natural generalization of the Fourier transform. In this work, we recall the definition of the fractional Fourier transform and its relation to the conventional Fourier transform.
Mawardi Bahri +1 more
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Fractal and Fractional, 2022 In this paper, we establish two approximation theorems for the multidimensional fractional Fourier transform via appropriate convolutions. As applications, we study the boundary and initial problems of the Laplace and heat equations with chirp functions.
Yinuo Yang +3 more
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On the class of uncertainty inequalities for the coupled fractional Fourier transform
Journal of Inequalities and Applications, 2022 The coupled fractional Fourier transform F α , β $\mathcal {F}_{\alpha ,\beta}$ is a two-dimensional fractional Fourier transform depending on two angles α and β, which are coupled in such a way that the transform parameters are γ = ( α + β ) / 2 $\gamma
Firdous A. Shah +3 more
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AIMS Mathematics, 2022 In this paper, we discuss standard approaches to the Hyers-Ulam Mittag Leffler problem of fractional derivatives and nonlinear fractional integrals (simply called nonlinear fractional differential equation), namely two Caputo fractional derivatives using
Anumanthappa Ganesh +6 more
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Fractional Fourier Transform-Based Tensor RX for Hyperspectral Anomaly Detection
Remote Sensing, 2022 Anomaly targets in a hyperspectral image (HSI) are often multi-pixel, rather than single-pixel, objects. Therefore, algorithms using a test point vector may ignore the spatial characteristics of the test point.
Lili Zhang +3 more
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Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms [PDF]
arXiv, 2019 We consider and discuss some basic properties of the bicomplex analog of the classical Bargmann space. The explicit expression of the integral operator connecting the complex and bicomplex Bargmann spaces is also given. The corresponding bicomplex Segal--Bargmann transform is introduced and studied as well. Its explicit expression as well as the one of
Allal Ghanmi, Khalil Zine
arxiv +3 more sources
A novel description and mathematical analysis of the Fractional Discrete Fourier Transform [PDF]
arXiv, 2019 I discuss the nature of a Fractional Discrete Fourier Transform (FrDFT) described algorithmically by a combination of chirp transforms and ordinary DFTs. The transform is shown to be consistent with a continuous two-dimensional rotation between the time and frequency domains.
E. Zayas
arxiv +3 more sources
Optical Hyperspectral Image Cryptosystem Based on Affine Transform and Fractional Fourier Transform [PDF]
Applied Sciences, 2019 An encryption algorithm for hyperspectral data in fractional Fourier domain is designed. Firstly, the original hyperspectral image is separated into single bands and then each pair of bands are regarded as the real and imaginary part of a complex ...
Hang Chen +3 more
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A study on fractional differential equations using the fractional Fourier transform
Advances in Difference Equations, 2020 This study aims to use the fractional Fourier transform for analyzing various types of Hyers–Ulam stability pertaining to the linear fractional order differential equation with Atangana and Baleanu fractional derivative.
Porpattama Hammachukiattikul +6 more
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Color image encryption based on chaotic compressed sensing and two-dimensional fractional Fourier transform. [PDF]
Sci Rep, 2020 Combining the advantages of structured random measurement matrix and chaotic structure, this paper introduces a color image encryption algorithm based on a structural chaotic measurement matrix and random phase mask.
Wang X, Su Y.
europepmc +2 more sources