子空间干扰加高斯杂波背景下基于GLRT的斜对称方向检测器设计  

Design of Persymmetric Direction Detectors Based on GLRT Under Subspace Interference Plus Gaussian Clutter

作　　者：田华飞 魏广芬[1] 简涛 周战 罗沅 TIAN Huafei;WEI Guangfen;JIAN Tao;ZHOU Zhan;LUO Yuan(School of Information and Electronic Engineering,Shandong Technology and Business University,Yantai Shandong,264005,China;Naval Aviation University,Yantai Shandong,264001,China)

机构地区：[1]山东工商学院信息与电子工程学院,山东烟台264005 [2]海军航空大学,山东烟台264001

出　　处：《海军航空大学学报》2024年第2期224-234,共11页Journal of Naval Aviation University

基　　金：国家自然科学基金(61971432);泰山学者工程(No.tsqn201909156);山东省高等学校青创科技支持计划(2019KJN031)。

摘　　要：文章研究了背景为子空间干扰加高斯杂波的距离扩展目标方向检测问题。杂波是均值为零协方差矩阵未知但具有斜对称特性的高斯杂波,目标与干扰分别通过具备斜对称特性的目标子空间和干扰子空间描述。针对方向检测问题,利用上述斜对称性,根据广义似然比检验(Generalized Likeli-hood Ratio Test,GLRT)准则的一步与两步设计方法,设计了基于GLRT的一步法与两步法的距离扩展目标方向检测器。通过理论推导证明了这2种检测器相对于未知杂波协方差矩阵都具有恒虚警率。对比相同背景下已有检测器,特别是在辅助数据有限的场景下,文章提出的2个检测器表现出了优越的检测性能。The problem of direction detection of range-spread targets with subspace interference plus Gaussian clutter in the background is studied,the clutter is Gaussian clutter with zero mean persymmetry covariance matrix unknown,the tar‐get and interference are described by target subspace and interference subspace with persymmetry property.The persym‐metry of the matrix is utilized for the direction detection problem,one-step and two-step design methods based on the gen‐eralized likelihood ratio test(GLRT)criterion are proposed as one-step and two-step range-spread target direction detec‐tors based on the GLRT.And it is proved by theoretical derivation that both detectors have constant false alarm rate with respect to the unknown clutter covariance matrix.Comparing with the existing detectors in the same background,especial‐ly in the limited training data scenarios,the simulation results prove the effectiveness of the proposed two detectors.

关 键 词：广义似然比检验 距离扩展目标 方向检测器 斜对称 恒虚警率 

分 类 号：TN957.51[电子电信—信号与信息处理]