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
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
exaly +4 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
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
Quantum eigenstates from classical Gibbs distributions
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 +1 more source
Metaplectic Wigner distributions [PDF]
Metaplectic Wigner distributions were recently investigated as natural generalizations of the classical Wigner distribution, and provide a wide class of time-frequency representations that exploits the structure of the symplectic group.
Giacchi, Gianluca
core +1 more source
Analyse des signaux multicomposante à modulation de fréquence linéaire par la transformation de Teager-Huang-Hough [PDF]
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
core +1 more source
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
Decoherence models for discrete-time quantum walks and their application to neutral atom experiments
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 +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

