中文摘要：

文中研究Pearson杂波背景下的CFAR检测问题。推导出CA、GO和SO三种CFAR检测器在Pear—son分布杂波背景下虚警概率的初等函数表达式，证明了它们在Pearson分布杂波背景下仍具有恒虚警性能。全面分析了这三种均值类检测器在均匀背景和非均匀背景下的性能。结果表明SO-CFAR在均匀背景和多目标干扰情况下均具有最好的检测性能，而GO-CFAR则在杂波边缘情况具有更好的虚警控制能力。

英文摘要：

The problem of constant false alarm rate （CFAR） detection under Pearson distribution clutter is studied in this paper. We derive the exact elementary expressions of probability of false alarm for cell averaging（CA）-CFAR, greatest of（GO）-CFAR and smallest of （SO）-CFAR in homogenous background, and prove that these detectors are also of CFAR. The performance of these detectors are evaluated both in homogeneous and non-homogeneous clutter. The results show that the SO-CFAR has the best detection performance against uniform clutter background and multiple target environments, while the GO-CFAR has the best control ability of false alarm against clutter edges.