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Fractional-Order Ultrasonic Sensing for Monitoring Microstructural Evolution in Cementitious Materials. [PDF]
Zheng H +6 more
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Optimized bio-signal reconstruction and watermarking via enhanced fractional orthogonal moments. [PDF]
Hassan G, Hosny KM, Fathi IS.
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PhaseT3M: 3D imaging at 1.6 Å resolution via electron cryo-tomography with nonlinear phase retrieval. [PDF]
Lee J +7 more
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Integrated Sensing and Communication Using Random Padded OTFS with Reduced Interferences. [PDF]
Karpovich P, Zielinski TP.
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Rotation Invariant Texture Analysis Using Radon and Fractional Fourier Transform
Fakhordin Mohammadi +2 more
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Fractional finite Fourier transform
Journal of the Optical Society of America A, 2004We show that a fractional version of the finite Fourier transform may be defined by using prolate spheroidal wave functions of order zero. The transform is linear and additive in its index and asymptotically goes over to Namias's definition of the fractional Fourier transform.
Kedar, Khare, Nicholas, George
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Fractional discrete Fourier transforms
Optics Letters, 1996Direct calculation of fractional Fourier transforms from the expressions derived for their optical implementation is laborious. An extension of the discrete Fourier transform would have only O(N(2)) computational complexity. We define such a system, offer a general way to compute the fractional discrete Fourier transform matrix, and numerically ...
Z T, Deng +2 more
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Random fractional Fourier transform
Optics Letters, 2007We propose a novel random fractional Fourier transform by randomizing the transform kernel function of the conventional fractional Fourier transform. The random fractional Fourier transform inherits the excellent mathematical properties from the fractional Fourier transform and can be easily implemented in optics.
Zhengjun, Liu, Shutian, Liu
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