Elements of information theory
Elements of information theory
A near optimum detection in alpha-stable impulsive noise
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Parameter estimation and blind channel identification in impulsivesignal environments
IEEE Transactions on Signal Processing
IEEE Transactions on Information Theory
Adaptive target detection in foliage-penetrating SAR images using alpha-stable models
IEEE Transactions on Image Processing
Modeling SAR images with a generalization of the Rayleigh distribution
IEEE Transactions on Image Processing
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The @a-stable distribution has been recently adopted in modeling the clutter of synthetic aperture radar (SAR) images. However, @a-stable clutter does not have analytical probability density function (PDF) except for a few special cases, and thus it is even harder to obtain the analytical amplitude PDF (APDF) for @a-stable clutter. In this paper, an analytical representation is developed to approximate the APDF of isotropic @a-stable clutter. In the approximation, the APDFs of Cauchy and Gaussian clutters are used as two linearly mixing components. In addition, four approaches are presented to compute the component weight. The proposed approximation has a concise closed-form, and its validity is verified by experimental results.