Time-frequency-based detection using discrete-time discrete-frequency Wigner distributions [PDF]
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
Richard, Cédric
exaly +6 more sources
Quantum eigenstates from classical Gibbs distributions [PDF]
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 ...
Pieter W. Claeys, Anatoli Polkovnikov
doaj +3 more sources
A New Discrete Analytic Signal for Reducing Aliasing in the Discrete Wigner-Ville Distribution [PDF]
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, Boualem Boashash
exaly +5 more sources
Decoherence models for discrete-time quantum walks and their application to neutral atom experiments [PDF]
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 ...
Andrea Alberti +3 more
doaj +2 more sources
Probability Representation of Quantum States
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
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
openaire +2 more sources
Comment on ‘Wigner function for a particle in an infinite lattice’
It is pointed out that in a recent paper (2012 New J. Phys. 14 103009) in which a Wigner function for a particle in an infinite lattice (a system described by an unbounded discrete coordinate and its conjugate angle-like momentum) has been introduced, no
João P S Bizarro
doaj +1 more source
Linear redundancy of information carried by the discrete Wigner distribution [PDF]
The discrete Wigner distribution (WD) encodes information in a redundant fashion since it derives N by N representations from N-sample signals. The increased amount of data often prohibits its effective use in applications such as signal detection, parameter estimation, and pattern recognition.
openaire +3 more sources
Discrete Wigner distribution for two qubits: a characterization of entanglement properties [PDF]
We study the properties of the discrete Wigner distribution for two qubits introduced by Wotters. In particular, we analyze the entanglement properties within the Wigner distribution picture by considering the negativity of the Wigner function (WF) and the correlations of the marginal distribution.
Franco R., PENNA, Vittorio
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Estimation of instantaneous frequency using the discrete Wigner distribution
Analytical expressions for the performance of the discrete Wigner distribution (DWD) in estimating the instantaneous frequency of linear frequency modulated signals in additive white noise are derived and verified using simulation. It is shown that the DWD peak provides an optimal estimate at high input signal-to-noise ratios.
P. Rao, F.J. Taylor
openaire +1 more source

