Results 11 to 20 of about 769 (173)
Time-frequency-based detection using discrete-time discrete-frequency Wigner distributions [PDF]
IEEE Transactions on Signal Processing, 2002 During the last decade, a comprehensive theory for optimum time-frequency (TF)-based detection has been developed. This was originally proposed in the continuous-time continuous-frequency case. This paper deals with detectors operating on discrete-time discrete-frequency Wigner distributions (WDs). The purpose is to discuss some existing definitions of
Cedric Richard
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About SIC POVMs and discrete Wigner distributions
Journal of Optics B: Quantum and Semiclassical Optics, 2005 A set of d2 vectors in a Hilbert space of dimension d is called equiangular if each pair of vectors encloses the same angle. The projection operators onto these vectors define a POVM which is distinguished by its high degree of symmetry. Measures of this kind are called symmetric informationally complete, or SIC POVMs for short, and could be applied ...
Thomas Durt
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Digital Signal ProcessingWe present a very simple relationship between two widely used discrete-time discrete-frequency Wigner distributions. The first one is obtained through sampling and the second one is obtained from the representation theory of the finite Heisenberg group.
Haldun M Ozaktas
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Quantum eigenstates from classical Gibbs distributions [PDF]
SciPost Physics, 2021 We discuss how the language of wave functions (state vectors) and associated non-commuting Hermitian operators naturally emerges from classical mechanics by applying the inverse Wigner-Weyl transform to the phase space probability distribution and ...
Claeys, Pieter W., Polkovnikov, Anatoli
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A New Discrete Analytic Signal for Reducing Aliasing in the Discrete Wigner-Ville Distribution [PDF]
IEEE Transactions on Signal Processing, 2008 It is not possible to generate an alias-free discrete Wigner--Ville distribution (DWVD) from a discrete analytic signal. This is because the discrete analytic signal must satisfy two mutually exclusive constraints. We present, in this article, a new discrete analytic signal that improves on the commonly used discrete analytic signal's approximation of ...
John M O'Toole, B Boashash
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Decoherence models for discrete-time quantum walks and their application to neutral atom experiments
New Journal of Physics, 2014 We discuss decoherence in discrete-time quantum walks in terms of a phenomenological model that distinguishes spin and spatial decoherence. We identify the dominating mechanisms that affect quantum-walk experiments realized with neutral atoms walking in ...
Meschede, Dieter +3 more
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Discrete domain Wigner distributions-a comparison and an implementation
IEEE International Symposium on Circuits and Systems, 2003 The ideas behind different definitions of the discrete domain Wigner distribution (DDWD) are compared. It is shown that all the definitions are smoothed (filtered) versions of an elemental definition. An implementation of the DDWD as an add-on utility used in a digital spectrum analyzer is presented. >
A. Pacut, W.J. Kolodziej, A. Said
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Probability Representation of Quantum States
Entropy, 2021 The review of new formulation of conventional quantum mechanics where the quantum states are identified with probability distributions is presented. The invertible map of density operators and wave functions onto the probability distributions describing ...
Olga V. Man’ko, Vladimir I. Man’ko
doaj +1 more source
On computing the discrete Wigner–Ville distribution
Electronics Letters, 1990 The Wigner-Ville distribution is an important tool in nonstationary signal analysis. Many algorithms to compute the discrete Wigner-Ville distribution (DWVD) have been proposed. New efficient methods for computing the discrete Wigner-Ville distribution are presented.
Chan, SC, Ho, KL
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Analyse des signaux multicomposante à modulation de fréquence linéaire par la transformation de Teager-Huang-Hough [PDF]
, 2014 A novel detection approach of linear FM (LFM) signals, with single or multiple components, in the time-frequency plane of Teager-Huang (TH) transform is presented.
BOUDRAA, Abdelouahab +4 more
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