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l-distribution for multilook polarimetric SAR data and its application in ship detection

Science China(Information Sciences) 2021年第12期64卷 226-238页

作者： Tao lIU Tao TANG Ziyuan YANG Yanni JIANG Sheng GAO Guangquan CHENG School of Electronic Engineering Naval University of Engineering College of Electrical and Information Engineering Hunan University College of System Engineering National University of Defense Technology

Statistical modeling based on the product model is an effective method to fit the sea clutter of polarimetric synthetic aperture radar(PolSAR) images in nonhomogeneous regions. The generalized Gamma distribution(GΓD) is a kind of distribution with wide coverage, including Weibull, Gamma, inverse Gamma,Fisher, and other distributions; it can be used as a textural variable in the product model because of its coverage and flexibility. The l-distribution is presented to describe the statistical distribution in this product model case. The probability distribution function(PDF) of the multilook covariance matrix is obtained in the l-distribution product model, which is presented in a closed form. Moreover, the statistics are applied to ship detection by the optimal polarimetric detector(OPD), and the analytical expressions of the probability of false alarm(PFA) and the probability of detection(PD) are both derived, which are also extended to derive the PFA of the MPWF detector. Finally, the simulated and measured data are used to verify the correctness of the theoretical derivation, and the results show that our derivations are all correct and effective.

关键词： generalized Gamma distribution (GΓD) l-distribution polarimetric SAR ship detection optimal polarization detector (OPD) multilook polarimetric whitening filter (MPWF)

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