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Analysis and comparison of discrete fractional fourier transforms
Signal Processing, 2019The fractional Fourier transform (FRFT) is a powerful tool for time-varying signal analysis. There exist various discrete fractional Fourier transforms (DFRFTs); in this paper, we systematically analyze and compare the main DFRFT types: sampling-type ...
Xinhua Su, R. Tao, Xuejing Kang
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Difference operators and generalized discrete fractional transforms in signal and image processing
Signal Processing, 2018The fractional Fourier transform (FrFT) is a major tool in signal and image processing. Since its computation for analog signals includes the evaluation of improper integrals involving e − x 2 , x ∈ R , several methods have been proposed to approximate ...
M. Annaby, H. Ayad, M. Rushdi, E. Nehary
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Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems
Differential Equations, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afanas'eva, E. B. +2 more
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Journal of the Optical Society of America A, 2019
We define a discrete Bargmann transform for discrete and finite functions by means of the coherent states in the su(2) finite harmonic oscillator model. The transform space is over a corresponding finite square mesh in the complex plane. From there, the inverse discrete Bargmann transform reconstitutes the original function with an average error of 10 ...
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We define a discrete Bargmann transform for discrete and finite functions by means of the coherent states in the su(2) finite harmonic oscillator model. The transform space is over a corresponding finite square mesh in the complex plane. From there, the inverse discrete Bargmann transform reconstitutes the original function with an average error of 10 ...
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Quasi-discrete Hankel transform
Optics Letters, 1998A quasi-discrete Hankel transform (QDHT) is presented as a new and efficient framework for numerical evaluation of the zero-order Hankel transform. A discrete form of Parseval's theorem is obtained for the first time to the authors' knowledge, and the transform matrix is discussed.
Yu, L. +5 more
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Discrete Lattice Wavelet Transform
IEEE Transactions on Circuits and Systems II: Express Briefs, 2007The discrete wavelet transform (DWT) has gained a wide acceptance in denoising and compression coding of images and signals. In this work we introduce a discrete lattice wavelet transform (DLWT). In the analysis part, the lattice structure contains two parallel transmission channels, which exchange information via two crossed lattice filters.
Olkkonen, H., Olkkonen, Juuso
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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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2022
Abstract Relying on semi-structured interviews with UK sectoral regulators, this chapter opens the ‘black box’ of the regulatory decision-making process and explores the influence of economic evidence and analysis on the regulators’ discretionary economic assessments. The chapter challenges the widely held belief that economic regulation
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Abstract Relying on semi-structured interviews with UK sectoral regulators, this chapter opens the ‘black box’ of the regulatory decision-making process and explores the influence of economic evidence and analysis on the regulators’ discretionary economic assessments. The chapter challenges the widely held belief that economic regulation
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Generalized discrete Fourier transforms: the discrete Fourier-Riccati-Bessel transform
Computer Physics Communications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stade, Eric, Layton, E. G.
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Discrete Transforms in Quantum Chaos
Bulletin of the Russian Academy of Sciences: Physics, 2021V. Bunakov
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