Mixture approximation to the amplitude statistics of isotropic α-stable clutter

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.

[1]  Rama Chellappa,et al.  Adaptive target detection in foliage-penetrating SAR images using alpha-stable models , 1999, IEEE Trans. Image Process..

[2]  Javier Gismero-Menoyo,et al.  Statistical Analysis of a High-Resolution Sea-Clutter Database , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[3]  A. Farina,et al.  Statistical tests for higher order analysis of radar clutter: their application to L-band measured data , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[4]  Miao Liu,et al.  A near optimum detection in alpha-stable impulsive noise , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[5]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[6]  Yoshio Yamaguchi,et al.  Linear Feature Detection in Polarimetric SAR Images , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[7]  David Middleton,et al.  Statistical-Physical Models of Electromagnetic Interference , 1977, IEEE Transactions on Electromagnetic Compatibility.

[8]  Guisheng Liao,et al.  Robust moving targets detection and velocity estimation using multi-channel and multi-look SAR images , 2010, Signal Process..

[9]  C. L. Nikias,et al.  Signal processing with fractional lower order moments: stable processes and their applications , 1993, Proc. IEEE.

[10]  Josiane Zerubia,et al.  Modeling SAR images with a generalization of the Rayleigh distribution , 2004, IEEE Transactions on Image Processing.

[11]  Chrysostomos L. Nikias,et al.  Parameter estimation and blind channel identification in impulsive signal environments , 1995, IEEE Trans. Signal Process..

[12]  Fulvio Gini,et al.  Statistical analyses of measured radar ground clutter data , 1999 .

[13]  Liming Jiang,et al.  Using SAR Images to Detect Ships From Sea Clutter , 2008, IEEE Geoscience and Remote Sensing Letters.

[14]  MiddletonD..  Non-Gaussian noise models in signal processing for telecommunications , 2006 .

[15]  Tianshuang Qiu,et al.  Time-difference-of-arrival estimation algorithms for cyclostationary signals in impulsive noise , 2012, Signal Process..

[16]  David Middleton,et al.  Non-Gaussian Noise Models in Signal Processing for Telecommunications: New Methods and Results for Class A and Class B Noise Models , 1999, IEEE Trans. Inf. Theory.

[17]  Rama Chellappa,et al.  Statistical-physical model for foliage clutter in ultra-wideband synthetic aperture radar images. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.