Results 31 to 40 of about 2,822,554 (294)
Uncertainty Relation for the Discrete Fourier Transform [PDF]
Physical Review Letters, 2008 We derive an uncertainty relation for two unitary operators which obey a commutation relation of the form UV=exp[i phi] VU. Its most important application is to constrain how much a quantum state can be localised simultaneously in two mutually unbiased bases related by a Discrete Fourier Transform.
Massar, Serge, Spindel, Philippe
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Multi-qubit quantum computing using discrete-time quantum walks on closed graphs
Scientific Reports, 2023 Universal quantum computation can be realised using both continuous-time and discrete-time quantum walks. We present a version based on single particle discrete-time quantum walk to realize multi-qubit computation tasks.
Prateek Chawla +4 more
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Fast calculation algorithm for discrete resonance-based band-pass filter
Alexandria Engineering Journal, 2016 A discrete resonant band-pass filter with a fast calculation algorithm, which can be used to perform discrete frequency transformations, is presented. The algorithm has low memory consumption requirements.
Toso Pankovski
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Digital image watermarking using discrete cosine transformation based linear modulation
Journal of Cloud Computing: Advances, Systems and Applications, 2023 The proportion of multimedia traffic in data networks has grown substantially as a result of advancements in IT. As a result, it's become necessary to address the following challenges in protecting multimedia data: prevention of unauthorized disclosure ...
Waleed Alomoush +6 more
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Fractal and Fractional, 2022 In this paper, a family of high-order linearly implicit exponential integrators conservative schemes is constructed for solving the multi-dimensional nonlinear fractional Schrödinger equation.
Yayun Fu +3 more
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Random fractional Fourier transform : stochastic perturbations along the axis of propagation [PDF]
, 1999 The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium
Abe, Sumiyoshi, Sheridan, John T.
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Доклады Белорусского государственного университета информатики и радиоэлектроники, 2021 A single mathematical model of time characteristics of signals, links and responses of telecommunications and radioelectronics systems is suggested. It embodies Dirac- and Heaviside responses of all types of linear links, as well as their responses to ...
N. I. Belenkevich, V. A. Ilyinkov
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Generalizing the discrete fourier transform
Discrete Mathematics, 1985 The author defines the generalized discrete Fourier transform (GDFT (\({\mathbb{F}}G))\) as being the mapping \(\sigma_ G: {\mathbb{F}}G\to A_ 1\oplus...\oplus A_ s\) which decomposes the semisimple group algebra \({\mathbb{F}}G\) into simple Wedderburn components \(A_ i\), \(i=1,...,s\).
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A Discrete Fourier-Cosine Transform Chip [PDF]
IEEE Journal on Selected Areas in Communications, 1986 An 8-point Fourier-cosine transform chip designed for a data rate of 100 Mbits/s is described. The top-down design is presented step by step, including algorithm modification for VLSI suitability, architectural choices, testing overhead, internal precision assignments, mask generation, and finally, verification of the layout.
Martin Vetterli, Adriaan Ligtenberg
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The discrete fractional Fourier transformation
, 1996 Date of Conference: 18-21 June 1996Conference Name: 3rd International Symposium on Time-Frequency and Time-Scale Analysis, IEEE 1996Based on the fractional Fourier transformation of sampled periodic functions, the discrete form of the fractional Fourier ...
Arıkan, Orhan +3 more
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