Results 11 to 20 of about 23,128 (265)
Generic quantum Fourier transforms [PDF]
ACM Transactions on Algorithms, 2006 The quantum Fourier transform (QFT) is a principal ingredient appearing in many efficient quantum algorithms. We present a generic framework for the construction of efficient quantum circuits for the QFT by “quantizing” the highly successful separation of variables technique for the ...
Cristopher Moore +2 more
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The generalized fractional fourier transform [PDF]
2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2012 A new transform, called the generalized fractional Fourier transform (gFrFT), is proposed. Originally, the eigenfunctions of the fractional Fourier transform (FrFT) are known as the Hermite Gaussian functions (HGFs). Besides, in optics, the HGFs are generalized to be the generalized Hermite Gaussian functions (gHGFs) and their adjoint functions (AgHGFs)
Soo-Chang Pei +2 more
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Generalized Fourier-Mukai transforms. [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 1996 The paper sets out a generalized framework for Fourier-Mukai transforms and illustrates their use via vector bundle transforms. A Fourier-Mukai transform is, roughly, an isomorphism of derived categories of (sheaves) on smooth varieties X and Y. We show that these can only exist if the first Chern class of the varieties vanishes and, in the case of ...
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The Generalized Fourier Transform: A Unified Framework for the Fourier, Laplace, Mellin and Z Transforms [PDF]
, 2021 <div>This paper introduces Generalized Fourier transform (GFT) that is an extension or the generalization of the Fourier transform (FT). The Unilateral Laplace transform (LT) is observed to be the special case of GFT. GFT, as proposed in this work, contributes significantly to the scholarly literature.
Pushpendra Singh +2 more
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Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem
Axioms, 2023 The Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal and is employed in various fields, such as filter design, signal processing, and communication theory.
Hari M. Srivastava +4 more
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Generalized Mehler Semigroup on White Noise Functionals and White Noise Evolution Equations
Mathematics, 2020 In this paper, we study a representation of generalized Mehler semigroup in terms of Fourier–Gauss transforms on white noise functionals and then we have an explicit form of the infinitesimal generator of the generalized Mehler semigroup in terms of the ...
Un Cig Ji, Mi Ra Lee, Peng Cheng Ma
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The Continuous Wavelet Transform for a q-Bessel Type Operator
International Journal of Analysis and Applications, 2022 In this paper, we consider a differential operator on - By accomplishing harmonic analysis tools with respect to the operator we study some definitions and properties of q-Bessel continuous wavelet transform.
C.P. Pandey, Jyoti Saikia
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On the kernel of the $(\kappa,a)$-generalized Fourier transform
Forum of Mathematics, Sigma, 2022 Comment: 23 ...
Dmitry Gorbachev +2 more
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EURASIP Journal on Wireless Communications and Networking, 2023 In this paper, a two-dimensional generalized weighted fractional Fourier transform (2DGWFRFT) and constellation scrambling (CS)-based secure spatial modulation (SM) scheme, called 2DGWFRFT-CS-SM, is proposed to enhance the physical layer security (PLS ...
Yongxin Huang +3 more
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A Generalized Uncertainty Principle Involving Fractional Fourier Transform
Science and Technology IndonesiaIt is well known that the fractional Fourier transform (FrFT) is a non-trivial generalization of the classical Fourier transform. This transform has been extensively utilized in signal analysis and image processing.
Marni Rezki +2 more
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