相关K分布杂波中扩展目标积累检测性能分析

针对时空相关K分布(C-KD)杂波背景中扩展目标的滑窗积累检测(SWAD)与顺序统计-滑窗积累检测(OS-SWAD)的性能分析问题,采用广义K分布拟合、矩匹配、相关数据中的有效样本尺寸估计以及分数阶顺序统计等方法,获得了零假设条件下检验统计量的概率分布函数的拟合表达式,建立了虚警概率、恒虚警检测门限以及杂波参数之间的关系方程,并通过蒙特卡罗仿真实验对各种概率分布函数的拟合精度以及给定检测门限下的虚警控制精度进行了评估.理论分析与仿真实验表明本文提出的方法是合理和有效的.

Performance Analysis Method of Extended Target Detection under Correlated K-distributed Clutter Background

To address the problem of performance analysis of sliding-window-accumulation detection (SWA) and order-statistics sliding-window-accumulation detection (OS-SWA) of extended target under space-time correlated K-distributed (C-KD) clutter background, the approximate PDF expressions for the test statistics under null hypothesis were derived on the basis of the theory of generalized K-distribution fitting, moment matching, effective sample size estimation of relevant data and fractional order statistics computing. The relationships between false-alarm probability, CFAR detection threshold and clutter parameters were established. Monte-Carlo test was used to evaluate the precision of the fitted PDF and the false-alarm-rate controlled by the given detection threshold. The effectiveness and reasonableness of the proposed methods has been demonstrated with theoretical analyses and simulation experiments.