利用不变检验证明CFAR特性

Proof of CFAR by the Use of Invariant Test

在非平稳杂波背景中，背景杂波平均功率的轻微变化会使虚警概率急剧上升。如果利用参考单元采样形成背景杂波功率水平估计，然后自适应调整检测阈值可以控制虚警概率。对于这种自适应阈值检测器，我们利用不变检验概念证明了在一定的弱约束条件下的一类检测器具有ＣＦＡＲ（ＣｏｎｓｔａｎｔＦａｌｓｅ Ａｌａｒｍ Ｒａｔｅ）性质，揭示了这类ＣＦＡＲ检测器的机理。

In nonhom ogeneous background,slightincrease ofm ean levelofclutterpow ercould cause sharply in crease of false alarm probability.If m ean levelof clutter pow er could be estim ated by sam ples of reference cells,it could be used to adjustdetection threshold adaptively and then to controlthe false alarm probability.For this type of adaptive threshold detector,this paper provesby the use ofinvarianttestthata large class ofadaptive detectors pos sesses CFAR property w hen they satisfy certain w eak conditions.The proofreveals the m echanism ofthis class of CFARdetectors and providesthe generalm ethod ofproving CFARproperty.