Results 171 to 180 of about 4,408 (211)

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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Sampling in the light of Wigner distribution

Journal of the Optical Society of America A, 2004
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.
Adrian, Stern, Bahram, Javidi
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On a fundamental property of the Wigner distribution

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
We discuss and illustrate the following fundamental property of the Wigner distribution: the Wigner distribution is not necessarily zero when the signal is zero.
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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, Ma Shiwei, Qin Tinghao, Wang Jian, Cao Jialin   +4 more
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Conditions for the convolution of two Wigner distributions to be itself a Wigner distribution

Journal of Mathematical Physics, 1988
The convolution of two Wigner distribution functions (WDF’s) is always non-negative, but not always a WDF, as Jagannathan et al. [Phys. Lett. A 120, 161 (1987)] have shown. In this paper conditions are given that are sufficient, and probably necessary, for such a convolution to be a WDF, and a new characterization of Gaussian WDF’s is obtained as a by ...
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The Wigner Function as Distribution Function

Foundations of Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local polynomial Wigner distribution

Signal Processing, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 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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Relationships between two definitions of the discrete Wigner distribution and the continuous Wigner distribution

Digital Signal Processing
We present a very simple relationship between two widely used discrete-time discrete-frequency Wigner distributions. The first one is obtained through sampling and the second one is obtained from the representation theory of the finite Heisenberg group.
Sayit Korkmaz, Haldun M. Özaktas
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