Operator theory-based discrete fractional Fourier transform [PDF]
Signal, Image and Video Processing, 2019 The fractional Fourier transform is of importance in several areas of signal processing with many applications including optical signal processing. Deploying it in practical applications requires discrete implementations, and therefore defining a discrete fractional Fourier transform (DFRT) is of considerable interest.
Koç, Aykut
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Tunable fractional Fourier transform implementation of electronic wave functions in atomically thin materials [PDF]
Beilstein Journal of Nanotechnology, 2018 A tunable fractional Fourier transform of the quantum wave function of electrons satisfying either the Schrödinger or the Dirac equation can be implemented in an atomically thin material by a parabolic potential distribution applied on a direction ...
Daniela Dragoman
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The discrete fractional Fourier transform and Harper's equation [PDF]
Mathematika, 2000 The fractional Fourier transform [\textit{V. Namias}, ``The fractional order Fourier transform and its application to quantum mechanics'', J. Inst. Math. Appl. 25, 241-265 (1980; Zbl 0434.42014)] is referred to as a widely used tool in signal processing, optics and quantum mechanics. Its discrete version was given in [\textit{S.-C.
Barker, L.
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An Efficient Hamiltonian For Discrete Fractional Fourier Transform [PDF]
, 2008 {"references": ["S. C. Pei and M. H. Yeh, \"Improved discrete fractional Fourier\ntransform,\" Optics Letters, vol. 22, pp. 1047-1049, July 15 1997.", "Ahmed I. Zayed, \"Relationship between the Fourier and Fractional\nFourier Transforms\", IEEE Signal Processing Letters, vol. 3, no. 12,\nDecember 1996.", "C. Candan, M.A. Kutay, H.M.
Sukrit Shankar +3 more
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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 +5 more
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Analytic solution of fractional jeffrey fluid induced by abrupt motion of the plate [PDF]
Matrix Science Mathematic, 2018 This paper presents some new exact solutions corresponding to unsteady fractional Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach in the governing equations is used.
Amir Khan +3 more
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Fractional fourier transform based monopulse radar for combating jamming interference [PDF]
, 2010 Monopulse radars are used to track a target that appears in the look direction beam width. The distortion produced when manmade high power interference (jamming).
S.A. Elgamel +3 more
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Double-image encryption algorithm based on discrete fractional angular transform and fractional Fourier transform [PDF]
, 2022 By combining fractional Fourier transform with discrete fractional angular transform, a double-image encryption algorithm is designed. The discrete cosine transform is performed on two grayscale images to generate a spectrum image, and then the generated
Chen, Su-Hua +4 more
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Low-complexity LSMR equalisation of FrFT-based multicarrier systems in doubly dispersive channels [PDF]
, 2011 The discrete fractional Fourier transform (FrFT) has been suggested to enhance performance over DFT-based multicarrier systems when transmitting over doubly-dispersive channels.
Weiss, Stephan +7 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 more
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