Results 11 to 20 of about 4,366 (193)
Pseudo affine Wigner distributions [PDF]
1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, 2002 We define a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand (1992), these new time-frequency distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the
Gonçalves, Paulo, Baraniuk, Richard
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Symplectic Radon Transform and the Metaplectic Representation
Entropy, 2022 We study the symplectic Radon transform from the point of view of the metaplectic representation of the symplectic group and its action on the Lagrangian Grassmannian.
Maurice A. de Gosson
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Distribution and quantification of remotely generated Wigner negativity
npj Quantum Information, 2022 Wigner negativity, as a well-known indicator of nonclassicality, plays an essential role in quantum computing and simulation using continuous-variable systems.
Yu Xiang +6 more
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EURASIP Journal on Advances in Signal Processing, 2021 Linear canonical transform (LCT) is a powerful tool for improving the detection accuracy of the conventional Wigner distribution (WD). However, the LCT free parameters embedded increase computational complexity.
Sheng-Zhou Qiang +7 more
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Eigenvector distribution of Wigner matrices [PDF]
Probability Theory and Related Fields, 2011 We consider $N\times N$ Hermitian or symmetric random matrices with independent entries. The distribution of the $(i,j)$-th matrix element is given by a probability measure $ν_{ij}$ whose first two moments coincide with those of the corresponding Gaussian ensemble.
Knowles, Antti, Yin, Jun
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Semiclassical formulae for Wigner distributions
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their implications in physics. First we recall recent developments in the mathematical theory of resonances, in particular how invariant Ruelle distributions ...
Sonja Barkhofen +2 more
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Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
Journal of High Energy Physics, 2021 We derive the chiral kinetic equation in 8 dimensional phase space in non- Abelian SU(N) gauge field within the Wigner function formalism. By using the “covariant gradient expansion”, we disentangle the Wigner equations in four-vector space up to the ...
Xiao-Li Luo, Jian-Hua Gao
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Wigner Distribution of Twisted Photons
Physical Review Letters, 2016 We present the first experimental characterization of the azimuthal Wigner distribution of a photon. Our protocol fully characterizes the transverse structure of a photon in conjugate bases of orbital angular momentum (OAM) and azimuthal angle (ANG). We provide a test of our protocol by characterizing pure superpositions and incoherent mixtures of OAM ...
Mirhosseini, Mohammad +4 more
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X‐ray magnetic circular dichroism
Major Reference Works, Page 508-515., 2022 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
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Results in Physics, 2023 The Wigner quasi-probability distribution function is an important tool for estimating the quantumness of quantum states. The Wigner distribution function (WDF) is related monotonically to the coherent field state density operator and their probability ...
Laila A. Al-essa +4 more
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