Results 151 to 160 of about 4,366 (193)

On the existence of discrete Wigner distributions

IEEE Signal Processing Letters, 1999
Among the myriad of time-frequency distributions, the Wigner distribution stands alone in satisfying many desirable mathematical properties. Attempts to extend definitions of the Wigner distribution to discrete signals have not been completely successful.
Jeffrey C. O'Neill, Patrick Flandrin, William J. Williams   +2 more
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On computing the smoothed Wigner distribution

ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
In this paper, some aspects of the implementation of Wigner Distribution (WD) are discussed. In general, it is necessary to smooth the WD in order to study the underlying nature of the signal. It is shown that the WD smoothed for positivity is equivalent to a spectrogram in terms of time and frequency resolutions.
H. Garudadri, Michael P. Beddoes, A.-P. Benguerel, J. H. V. Gilbert   +3 more
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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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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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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-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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The Wigner Function as Distribution Function

Foundations of Physics, 2006
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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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