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Contourlet domain image denoising using the alpha-stable distribution
2014 IEEE 57th International Midwest Symposium on Circuits and Systems (MWSCAS), 2014In this paper, a new contourlet-based method for denoising of images corrupted by additive white Gaussian noise is proposed. The alpha-stable distribution is used to model the contourlet coefficients of noise-free images. This model is then exploited to develop a Bayesian minimum mean absolute error estimator.
Hamidreza Sadreazami +2 more
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Maximin Distributed Detection in the Presence of Impulsive Alpha-Stable Noise
IEEE Transactions on Wireless Communications, 2011The distributed detection problem in wireless sensor networks is studied under the impulsive α-stable noise assumption. Since symmetric α-stable density does not have a closed form, its approximation, the bi-parameter Cauchy Gaussian mixture model, is used to describe the impulsive behavior of α-stable noises.
Jintae Park +2 more
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Blind Estimation of Evoked Potentials in Alpha Stable Distribution Environments
2005 IEEE Engineering in Medicine and Biology 27th Annual Conference, 2005Evoked potentials (EPs) have been widely used to quantify neurological system properties. Traditional EP analyses are developed under the condition that the background noise in EP analysis are Gaussian distributed. Alpha stable distribution, a generalization of Gaussian, is better for modeling impulsive noise than Gaussian distribution in biomedical ...
Tianshuang, Qiu +4 more
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A new method for estimating parameters of a skewed alpha-stable distribution
2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2002Estimating the parameters of a skewed /spl alpha/-stable distribution calls for estimation of four unknown parameters of the probability density function (PDF): the location parameter, the scale parameter, the characteristic exponent and the skewness parameter.
Shay Maymon +2 more
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Revenue Management in the Presence of Self-Similar Alpha-Stable Distributions
GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference, 2009We consider the problem of maximizing network revenue from the perspective of bandwidth allocation and route selection. The objective is to perform offline maximization of revenue from served demands in the context of self-similar (long range dependent) traffic.
Armin Ghayoori, Alberto Leon-Garcia
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SAR image classification based on alpha-stable distribution
Remote Sensing Letters, 2011We propose a classification algorithm that utilizes the alpha-stable distribution to model the texture features of synthetic aperture radar (SAR) images. The SAR image is first decomposed by stationary wavelet transform (SWT). After that, the alpha-stable distribution is applied to model the high-frequency subband coefficients of the image at each ...
Yijin Peng +3 more
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On the Use of Alpha-Stable Distributions in Noise Modeling for PLC
IEEE Transactions on Power Delivery, 2015Power-line communication (PLC) deals with the challenge of transmitting data over a channel impaired by background and impulsive noises. In this paper, we provide evidence that the marginal distribution of the noise found in PLC systems exhibits some statistical properties that can be well captured by using $\alpha$ -stable distribution.
Gerardo Laguna-Sanchez +1 more
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Parameter Estimation of Alpha-Stable Distributions Based on MCMC
2011 3rd International Conference on Advanced Computer Control, 2011The α -stable distribution is a very flexible tool to model NonGaussian data. Stable distributions can allow for modeling infinite variance, skewness and heavy tails, but gives rise to inferential problems related to the estimation of the stable distribution parameters.
Yan-Ling Hao
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Wideband array signal processing with alpha-stable distributions
Proceedings of MILCOM '95, 2002The importance of extending the statistical array signal processing methodology to what we call the alpha-stable framework is apparent. First, scientists and engineers have started to appreciate infinite moments and the elegant scaling and self-similarity properties of stable distributions.
P. Tsakalides, C.L. Nikias
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Parallel Computing in Estimation of Parameters of Alpha-Stable Distribution
International Workshop of "Stochastic Programming for Implementation and Advanced Applications", 2012Modeling and analysis of financial processes is an important and fast developing branch of computer science, applied mathematics, statistics, and economy. In our research we estimate the -stable parameters of financial data series. Usually we use the Zolotariov integral presentation of the probability density function with 96-point Gaussian quadrature
Audrius Kabašinskas, Igoris Belovas
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