Two-dimensional hyper-complex (Quaternion) quadratic-phase Fourier transforms (Q-QPFT) have gained much popularity in recent years because of their applications many areas, including color image and signal processing. At the same time, Wigner–Ville distribution (WVD) analysis processing cannot be ruled out. In this paper, we study two-dimensional associated with transform (WVD-QQPFT) by employi...

We investigate passive radar imaging of aircraft using reflected TV signals. We apply a Smoothed Pseudo WignerVille Distribution (SPWVD)-based SAR imaging algorithm to two different scenarios. In the first simulation, multistatic VHF-band dataset generated by Fast Illinois Solver Code (FISC) is used. In the second simulation, a more realistic simulated passive radar dataset is used. A set of in...

The quantum methodologies useful for describing in a unified way several problems of nonlinear and collective dynamics of fluids, plasmas and beams are presented. In particular, the pictures given by the Madelung fluid and the Moyal-Ville-Wigner phase-space quasidistribution, including the related quantum tools such as marginal distributions for the tomographic representations, are described. S...

The purpose of a tachogram (from the Greek tachos, speed) is to quantify changes in heart rate over short time periods, ordinarily less than one day. Typically, the heart's rate of contraction is sampled once per beat (and hence unevenly in time), being taken as the inverse of the interval which occurs between consecutive QRS complexes (known as an RR interval). Since the Fourier transform algo...

A skew estimation algorithm for printed and handwritten documents, based on the document’s horizontal projection profile and its Wigner–Ville distribution, is presented. The proposed algorithm is able to correct skew angles that range between 289 and þ898 detecting the right oriented position of the page by the alternations of the horizontal projection profile. It is able of processing successf...

Time-frequency distributions (TFDs) are powerful tools to represent the energy content of time-varying signal in both time and frequency domains simultaneously but they suffer from interference due to cross-terms. Various methods have been described to remove these cross-terms and they are typically signal-dependent. Thus, there is no single TFD with a fixed window or kernel that can produce ac...

here, we have considered the husimi and wigner distribution functions. we have, inparticular, shown how the uncertainty principle works for the two cases of simple and damped harmonicoscillators when either of these two distributions are used. the conclusion shows that the husimidistribution function remains non-negative through the phase space but it does not always satisfies theuncertainty pr...

Gaussian signals play a very special role in classical time-frequency analysis because they are solutions of apparently unrelated problems such as minimum uncertainty or positivity and separability of Wigner-Ville distributions. We investigate here some of the logical connections which exist between these diierent features, and we discuss some examples and counterexamples of their extension to ...