A phase space representation of the Aharonov-Bohm effect is presented. It shows that the shift of interference fringes is associated to the interference term of the Wigner distribution function of the total wavefunction, whereas the interference pattern is defined by the common projections of the Wigner distribution functions of the interfering beams. * Correspondence address: D. Dragoman, P.O....

A technique for studying collisionless dynamics of a homogeneous superconducting system is developed which is based on Riccati parametrization of the Wigner distribution function. The quantum evolution of the superconducting order parameter, initially deviating from the equilibrium value, is calculated using this technique. The effect of a time-dependent BCS paring interaction on the dynamics o...

RÉSUMÉ. Cet article présente une nouvelle méthodologie pour concevoir un détecteur automatique de complexes-K. Notre approche se fonde sur la détermination d’un classifieur optimal dans le domaine temps-fréquence (transformée de Wigner-Ville) à partir de données d’apprentissage expertisées. Dans un premier temps, nous décrivons comment gérer les avis contradictoires des experts, et comment cons...

To improve the defect detectability of Lamb wave inspection systems, the application of nonlinear signal processing was investigated. The approach is based on a Warped Frequency Transform WFT to compensate the dispersive behavior of ultrasonic guided waves, followed by a Wigner-Ville time-frequency analysis and the Hough Transform to further improve localization accuracy. As a result, an automa...

Radio frequency interference (RFI) is greatly harmful to Global Navigation Satellite System (GNSS) receivers. Sweep one of the RFI for GNSS receivers, which can degrade performance receivers seriously. In this paper, Fractional Fourier Transform (FrFT) time-frequency analysis proposed in detection and suppression. The FrFT method tested detecting suppressing sweep interference, generated by a j...

The Wigner distribution of rotationally symmetric partially coherent light is considered and the constraints for its moments are derived. While all odd-order moments vanish, these constraints lead to a drastic reduction in the number of parameters that we need to describe all evenorder moments. A way to measure the moments as intensity moments in the output planes of (generally anamorphic but s...

The connection between the Wigner function and the generalized OTF, and between the ambiguity function and the generalized OTF is investigated for non-paraxial scalar wavefields. The treatment is based on two-dimensional (2-D) wavefields for simplicity, but can be extended to the three-dimensional case.