The information conveyed by the discrete Wigner-Ville representations of real, complex or analytic signals is highly redundant, each time-frequency location being related to others via non-obvious relationships. In this paper, we demonstrate that there also exists a large amount of linear relationships between time-frequency sample!;. This implies that a whole discrete Wigner-Ville representati...

The Wigner distribution is used to model the PSF of an aperture mask at different defocus planes. Algorithmic methods of determining an optimal mask pattern for a desired set of impulse responses are investigated. ©2010 Optical Society of America OCIS codes: 110.7348, 070.7425

We study crystal dynamics in the harmonic approximation. The atomic masses are weakly disordered, in the sense that their deviation from uniformity is of order √ ε. The dispersion relation is assumed to be a Morse function and to suppress crossed recollisions. We then prove that in the limit ε → 0 the disorder averaged Wigner function on the kinetic scale, time and space of order ε, is governed...

Free-space propagation can be described as a shearing of the Wigner distribution function in the spatial coordinate; this shearing is linear in paraxial approximation but assumes a more complex shape for wide-angle propagation. Integration in the frequency domain allows the determination of near-field diffraction, leading to the well known Fresnel diffraction when small angles are considered an...

Heart sounds and murmurs are time-varying signals that would best be analyzed using time-frequency analysis. Windowed Wigner-Ville distribution (WWVD) and smooth windowed Wigner-Ville distribution (SWWVD) are used to obtain the timefiequency representation (TFR) of the signal. Determination of parameter setting of WWVD and SWWVD will eliminate the cross-terms and improve TFR. The accuracy of TF...

The Wigner distribution (WD) can be decomposed into a linear combination of elementary WDs. Slow-oscillatory elementary WDs and fast-oscillatory elementary WDs mainly contribute to auto-terms and cross-terms, respectively. Using a weight function to keep slow-oscillatory elementary WDs and attenuate fast-oscillatory elementary WDs, one can balance auto-term resolution and cross-term suppression...

Cross-terms lie between two auto-components and are oscillatory, with their frequencies increasing with increasing distance in time-frequency between the two components. The cross-terms can have a peak value as high as twice that of the auto-components. A Wigner distribution of a two-component signal is shown in Figure 1. In this figure, it is easy to separate the auto-components from the cross...

In this paper the authors will try to discuss the applicability of Wigner-Ville Distribution for the digital analysis of auscultatory sounds. First of all, thte issues related to computer aided diagnosis are presented. Next, the methodology of research is shown and subsequently, the types of sounds are described. Another element of this work is the presentation of issues related to the digital ...

This paper introduces a novel method of speech epoch extraction using a modified Wigner-Ville distribution. The Wigner-Ville distribution is an efficient speech representation tool with which minute speech variations can be tracked precisely. In this paper, epoch detection/extraction using accurate energy tracking, noise robustness, and the efficient speech representation properties of a modifi...

This paper presents an analysis of the representation of instantaneous frequency using time-frequency distributions of energy density domain. Similarity to the ”ideal” instantaneous frequency presentation is chosen as a criterion for comparison of various distributions. Although all the commonly used distributions suffer from the artifacts along frequency axis, it is shown that the Wigner distr...