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Statistical performance of the wigner-ville distribution and the cross Wigner-Ville distribution

Journal of Shanghai University (English Edition), 2003
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Chen, Guanghua, Cao, Jialin
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The Wigner distribution function

Physics Letters A, 1982
Abstract In this letter, the relationship between the characteristic function for two arbitrary noncommuting observables and a generalized Wigner distribution function is established. This distribution function is shown to have no simple interpretation in the sense of probability theory but, in lieu of its special properties, can be used directly for
G.J. Iafrate, H.L. Grubin, D.K. Ferry
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On the Wigner distribution

ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
Recently the Wigner Distribution has been shown to be a potentially useful tool for analyzing time varying frequency domain phenomenon. In this paper the Wigner distribution is presented, properties of the important discrete distribution are derived, and an efficient digital implementation is presented.
D. Chester, F. Taylor, M. Doyle
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Positivity of Weighted Wigner Distributions

SIAM Journal on Mathematical Analysis, 1981
In [4] a number of inequalities involving Wigner distributions and their moments are given. The present paper gives theorems on the positivity of weighted Wigner distributions, where the weight function is assumed to be radially symmetric. The main tool is a formula expressing weighted Wigner distributions of a function in terms of its Hermite ...
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The robust Wigner distribution

2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2002
The standard short-time Fourier transform and the Wigner distribution can be obtained as solutions of the minimization problem, with the absolute square error as a loss function. It has been shown that some other loss functions, like for example the absolute error, can produce more robust results in the case of signals corrupted with impulse, heavy ...
L. Stankovic, I. Djurovic, S. Stankovic
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Wigner-Ville distribution and windowed Wigner-Ville distribution of noisy signals

Proceedings of IEEE Singapore International Conference on Networks/International Conference on Information Engineering '93, 2002
Wigner-Ville distribution (WVD) is a major method for analyzing non-stationary signal. In practical application of WVD, a windowed version is necessary. When signals are distorted by additive noise, it is important to estimate the accuracy of the estimator in terms of bias and variance.
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Recursion In Wigner Distribution

SPIE Proceedings, 1988
The problem of finding a recursive structure to evaluate the Wigner distribution (WD) is investigated. Recursive formula for updating the smoothed Wigner distribution are derived for on-line data processing of non-stationary processes. Recursion is established by first defining a sliding data window and then selecting the time-lag window to satisfy ...
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About SIC POVMs and discrete Wigner distributions

Journal of Optics B: Quantum and Semiclassical Optics, 2005
A set of d2 vectors in a Hilbert space of dimension d is called equiangular if each pair of vectors encloses the same angle. The projection operators onto these vectors define a POVM which is distinguished by its high degree of symmetry. Measures of this kind are called symmetric informationally complete, or SIC POVMs for short, and could be applied ...
Colin, Samuel   +3 more
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Wigner distribution and reduced distribution functions

The Journal of Chemical Physics, 1973
Some general properties of the equilibrium Wigner distribution function are discussed. An invariance law under Galilean transformation is obtained for systems with no external forces. The reduced distribution functions in configurational, momentum, and phase space are studied, with emphasis on the correlations of the velocities among themselves and ...
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Fractional Wigner distribution function

Journal of the Optical Society of America A, 1996
The fractional Wigner distribution function, introduced in this paper starting from the fractional Fourier transform, is found to be the appropriate phase-space distribution function for light-beam characterization in the near-field diffraction regime.
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