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Higher-order Wigner distributions

SPIE Proceedings, 1992
Higher-order Wigner distributions are not unique: definitions differ in the lag separations between the terms used in the time-domain product, as well as in how many of the terms are conjugated. We study a class of third-order WDs (TWD), parameterized by a single parameter (alpha) , and show that there is a duality between the choices of (alpha) equals
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Local polynomial Wigner distribution

Signal Processing, 1997
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The Wigner-Ville Distribution and the Cross Wigner-Ville Distribution of Noisy Signals

2006 8th international Conference on Signal Processing, 2006
The Wigner-Ville distribution (WVD) and the cross Wigner-Ville distribution (XWVD) have been shown to be efficient in the estimation of instantaneous frequency (IF). But the statistical result of the IF estimation from XWVD peak is much better than using WVD peak. The reason is given in the paper from a statistical point of view.
Chen Guanghua   +4 more
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Wigner distributions for qudits

AIP Conference Proceedings, 2006
Two new approaches to the problem of setting up Wigner distributions for finite level quantum systems are proposed. Both arise by looking at the structure of the familiar Wigner distribution for Cartesian quantum mechanics from different perspectives.
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Wigner distribution function in nonlinear optics

Applied Optics, 1996
Transformation laws for the Wigner distribution function, the radiant intensity, the radiant emittance, and the first- and second-order moments of the Wigner distribution function through an inhomogeneous, Kerr-type medium have been derived as well as for the beam quality factor and the kurtosis parameter.
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Entropy and Wigner Distribution Functions Revisited

International Journal of Theoretical Physics, 2003
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A multitime definition of the Wigner higher order distribution: L-Wigner distribution

IEEE Signal Processing Letters, 1994
A dual form of the Wigner higher order spectra is introduced. Its analysis in the case of multicomponent signals is performed. An efficient distribution for time-frequency signal analysis (L-Wigner distribution) is derived from that analysis. The theory is illustrated on a numerical example. >
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The Wigner Function as Distribution Function

Foundations of Physics, 2006
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Wigner Distribution Moments for Beam Characterization

2012
no ...
Alieva, T., Cámara, A., Bastiaans, M.J.
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Wigner Distribution Malfunction

Physics Today, 1990
John Philpott   +2 more
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