Wigner distributions play a significant role in formulating the phase space analogue of quantum mechanics. The Schrodinger wave-functional for solitons is needed to derive it solitons. distribution derived can further be used calculating charge distributions, current densities and wave function amplitude position or momentum space. It also calculate upper bound speed limit time. We analyze Kink...

A fundamental problem in random matrix theory is to determine the limiting distribution of the ESD as the size of the matrix tends to infinity. In certain cases when the entries have special distribution, such as Gaussian, the joint distribution of the eigenvalues can be given explicitly, and so the limiting distribution can be derived directly. However, these explicit formulas are not availabl...

Salvador Gabarda Gabriel Cristóbal Instituto de Óptica ‘‘Daza de Valdés’’ (CSIC) Serrano 121, Madrid-28006 Spain Abstract. We describe a new image fusion paradigm that provides an enhanced image from a set of source images that present regions with different spatial degradation patterns. The fusion procedure is based on the use of a new defocusing pixel-level measure. Such a measure is defined ...

Micro-Doppler signatures provide unique information about properties of the target. These micro-Doppler features can be used for real time target recognition in military applications and surveillance operations. In this paper, we present Gabor-Wigner transform for extracting micro-Doppler features from the radar returns. The effectiveness of the GaborWigner transform in extracting micro-Doppler...

We consider a set of operators x̂ = (x̂1, . . . , x̂N ) with diagonal representatives P (n) in the space of generalized coherent states |n〉 : x̂ = ∫ dμ(n)P (n)|n〉〈n|. We regularize the coherent-state path integral as a limit of a sequence of averages 〈 〉L over polygonal paths with L vertices n1...L. The distribution of the path centroid P̄ = 1 L ∑L l=1 P (nl) tends to the Wigner function W (x), the ...

Based on a linear systems approach, we derive the Wigner distribution function (WDF) of a 4f imager with a volume holographic three-dimensional pupil; then we obtain the WDF of the volume hologram itself by using the shearing properties of the WDF. Two common configurations, plane and spherical wave reference volume holograms, are examined in detail. The WDF elucidates the shift variant nature ...

We propose a new method for analysis of the sampling and reconstruction conditions of real and complex signals by use of the Wigner domain. It is shown that the Wigner domain may provide a better understanding of the sampling process than the traditional Fourier domain. For example, it explains how certain non-bandlimited complex functions can be sampled and perfectly reconstructed. On the basi...

In this paper, we propose the novel integral transform coined as quadratic-phase scaled Wigner distribution (QSWD) by extending associated with Fourier (QWD) to one inspired definition of fractional bispectrum. A natural magnification effect characterized extra degrees freedom (QPFT) and a factor k on frequency axis enables QSWD have flexibility be used in cross-term reduction. By using machine...

We investigate the structure of Wigner distribution functions energy eigenstates quartic and sextic anharmonic oscillators. The corresponding Moyal equations are shown to be solvable, revealing new properties Schrödinger eigenfunctions these In particular, they provide alternative approaches their determination eigenenergies, away from conventional differential equation method, which usually re...

Wigner negativity, as a well-known indicator of nonclassicality, plays an essential role in quantum computing and simulation using continuous-variable systems. Recently, it has been proven that Einstein-Podolsky-Rosen steering is prerequisite to generate negativity between two remote modes. Motivated by the demand real-world network, here we investigate shareability generated multipartite scena...