复合高斯杂波协方差矩阵估计的失配性能分析

Mismatch Analysis of Covariance Matrix Estimator for Compound-Gaussian Clutter

在球不变随机向量的复合高斯杂波满足局部均匀的背景下,当估计的杂波分组大小与实际情况失配时,分析了自适应归一化匹配滤波器(ANMF)的恒虚警率(CFAR)特性和检测性能.理论分析表明,当杂波实际分组大小是估计分组大小的整数倍时,ANMF检测器对协方差矩阵结构和杂波功率水平均具有CFAR特性;而在其它的情况下ANMF检测器只对协方差矩阵结构具有CFAR特性.仿真结果还表明,不同子集的选取对ANMF检测器的CFAR特性影响不大;而在不同的失配条件下,ANMF存在不同程度的检测损失,且在纹理分量相关性信息完全未知时检测损失最大.

When the compound-Gaussian clutter can be clustered into groups of data with one and the same value of the texture,the Constant False Alarm Rate（CFAR） property and the detection performance of the adaptive normalized matched filter（ANMF） are analyzed in the mismatch situation,where the estimated clutter group size is unequal to the actual one.The theoretical analyses show that,the ANMF holds fully CFAR property when the actual clutter group size is multiples of the estimated one,while it is only CFAR to the clutter covariance matrix structure for other cases.It also shows that,the ANMF holds almost CFAR property for different subsets.Moreover,different mismatch cases cause different performance loss for the ANMF;and the worst performance results from the case when no a priori information about the texture correlation is available at all.