Results 11 to 20 of about 3,305 (281)
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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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
, 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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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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Eigenvectors of the Discrete Fourier Transform Based on the Bilinear Transform
EURASIP Journal on Advances in Signal Processing, 2010 Determining orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, is crucial in the definition of the discrete fractional Fourier transform.
Ahmet Serbes, Lutfiye Durak-Ata
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Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks
Complexity, 2020 The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate.
Xiaomin Li +3 more
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