基于流形等距映射的矩阵信息几何检测方法  

Matrix information geometry method based on manifold ISOMAP

作　　者：王宏强[1] 程永强 华小强 杨琪 刘康 WANG Hongqiang;CHENG Yongqiang;HUA Xiaoqiang;YANG Qi;LIU Kang(College of Electronic Science,National University of Defense Technology,Changsha Hunan 410073,China)

机构地区：[1]国防科技大学电子科学学院,湖南长沙410073

出　　处：《太赫兹科学与电子信息学报》2023年第4期523-529,共7页Journal of Terahertz Science and Electronic Information Technology

基　　金：国家自然科学基金资助项目(61921001,61971427,62035014,62201591);国家重点研发计划资助项目(2022YFB3902400,2018YFB2202500)。

摘　　要：雷达目标检测常面临复杂的杂波特性,经典的检测方法通常适合于某些特定的场景,当检测背景发生变化时,其检测性能急剧下降。为有效提升不同杂波背景下的检测性能,提出一种基于流形等距映射(ISOMAP)的矩阵信息几何检测器。该方法首先将信号检测问题转化为矩阵流形上两点之间的区分性问题;然后基于样本数据和流形等距映射原理,自适应地学习出矩阵流形的投影变换矩阵,将矩阵流形变换为可区分的低维流形,最大程度地保持每一个矩阵与其邻域内矩阵之间几何距离大小,增强矩阵流形的可分性;最后利用仿真杂波和实测数据对算法进行验证。实验结果表明,相比于经典的检测方法,所提方法能有效提升目标检测性能。Radar target detection is often faced with complex clutter characteristics.Classical detection methods are usually suitable for some specific scenarios.However,if the detection background changes,its detection performance will suffer from a great degradation.In order to effectively improve the detection performance under different clutter backgrounds,this paper proposes a matrix information geometric detector based on manifold ISOmetric MAPping(ISOMAP).This method first reformulates the problem of signal detection into a discriminative problem between two points on the matrix manifold;then,according to the training sample data and local isometric mapping,a projection matrix is adaptively learned,which transforms the matrix manifold into a discriminative low-dimensional manifold to enhance the separability between the target and the clutter;finally,the proposed algorithm is verified by simulated clutter and measured data.Experimental results show that the proposed method can effectively improve the detection performance in comparison with the classical detectors.

关 键 词：雷达目标检测 矩阵信息几何检测器 流形等距映射 矩阵流形 

分 类 号：TN959[电子电信—信号与信息处理]