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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.
David B. Chester +2 more
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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.
David B. Chester +2 more
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[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1992
A symmetrized version of the wideband ambiguity function is proposed, by observing the relationship between ambiguity functions and the theory of certain groups. Its 2-D Fourier transform has properties similar to the Wigner distribution, and it is called the affine Wigner distribution, by analogy.
Ramachandra G. Shenoy, Thomas W. Parks
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A symmetrized version of the wideband ambiguity function is proposed, by observing the relationship between ambiguity functions and the theory of certain groups. Its 2-D Fourier transform has properties similar to the Wigner distribution, and it is called the affine Wigner distribution, by analogy.
Ramachandra G. Shenoy, Thomas W. Parks
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The robust Wigner distribution
2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2002The 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 ...
Ljubisa Stankovic +2 more
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Dynamics using the Wigner distribution
Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, 2002A new method is described to study dynamical systems characterized by linear ordinary differential equations. The method is aimed at studying the time-varying properties of the resulting solution of the differential equation. In contrast to the standard methods where one solves the differential equation and then uses a time-frequency distribution, for ...
GALLEANI, Lorenzo, COHEN L.
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Statistical performance of the wigner-ville distribution and the cross Wigner-Ville distribution
Journal of Shanghai University (English Edition), 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Guanghua, Cao, Jialin
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Wigner distribution of noisy signals
IEEE Transactions on Signal Processing, 1993The effect of noise on the Wigner distribution is analyzed. The mean and variance of the Wigner distribution of signals contaminated by additive noise are derived. It is shown that in the case of white noise the Wigner distribution calculated by definition calculated by definition cannot be used for estimation.
Ljubisa Stankovic, Srdjan Stankovic
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Wigner distribution for random systems
Journal of Modern Optics, 2002We use the Wigner distribution to study systems subjected to random forces. We define the instantaneous spectrum as the ensemble average of the Wigner distribution, and we write the differential equation whose solution gives us the time-varying spectrum of the state variable. We consider the cases of both constant and time-varying coefficients.
GALLEANI, Lorenzo, COHEN L.
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On the optimality of the Wigner distribution for detection
ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005A variety of methods have been proposed for the detection of a signal, with unknown signal parameters, in a noisy environment. In this paper, the noise statistics are incorporated to reveal that certain processing of the Wigner distribution (WD) signal representation can lead to an optimal, and often easy to compute, detection scheme.
Kay, Steven, Boudreaux-Bartels, G. Faye
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