Results 21 to 30 of about 42,784 (333)
Improved discrete fractional Fourier transform [PDF]
Optics Letters, 1997 The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT's) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT.
S C, Pei, M H, Yeh
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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures
Entropy, 2022 The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava +3 more
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Abstract and Applied Analysis, 2013 The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding ...
Yang Zhao +4 more
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Fractional Transforms in Optical Information Processing
EURASIP Journal on Advances in Signal Processing, 2005 We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant ...
Maria Luisa Calvo +2 more
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Clifford algebras, Fourier transforms and quantum mechanics [PDF]
, 2012 In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
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Nonseparable two-dimensional fractional Fourier transform [PDF]
Applied Optics, 1998 Previous generalizations of the fractional Fourier transform to two dimensions assumed separable kernels. We present a nonseparable definition for the two-dimensional fractional Fourier transform that includes the separable definition as a special case. Its digital and optical implementations are presented.
Sahin, A., Kutay, M. A., Ozaktas, H. M.
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Alexandria Engineering Journal, 2019 De-Levie’s model has become an indispensable model for knowing a porous electrode because electrochemical supercapacitors provide electrical energy storage and they use nanoporous electrodes to store large amounts of charge.
Kashif Ali Abro +3 more
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Fractional Equations for the Scaling Limits of Lévy Walks with Position-Dependent Jump Distributions
Mathematics, 2023 Lévy walks represent important modeling tools for a variety of real-life processes. Their natural scaling limits are known to be described by the so-called material fractional derivatives.
Vassili N. Kolokoltsov
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Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order [PDF]
, 2010 In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics.
Jaming, Philippe
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Journal of Inequalities and Applications, 2017 We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic
Banu Ünalmış Uzun
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