基于张量子空间的互质频偏FDS-MIMO雷达多目标三维定位方法  

Three-dimensional target localization method based on the tensor subspace FDS-MIMO radar with a co-prime frequency offset

作　　者：李星星[1] 王党卫 马晓岩 王文钦[2] Xingxing LI;Dangwei WANG;Xiaoyan MA;Wenqin WANG(Air Force Early Warning Academy,Wuhan 430019,China;School of Communication and Information Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China)

机构地区：[1]中国人民解放军空军预警学院,武汉430019 [2]电子科技大学通信与信息工程学院,成都611731

出　　处：《中国科学：信息科学》2019年第1期87-103,共17页Scientia Sinica(Informationis)

基　　金：国家自然科学基金(批准号:61179015;61401503)资助项目

摘　　要：利用频控阵实现目标定位成为雷达领域一个新的研究热点.针对频控阵雷达存在距离模糊和定位精度不高的问题,本文基于提出的二维频率分集子孔径频控阵MIMO (frequency diverse subaperturing MIMO, FDS-MIMO)雷达,深入研究了目标三维定位方法.首先利用匹配滤波数据内在的多维结构,建立了5阶张量信号模型.针对该信号模型下的距离模糊问题,提出了一种在面阵两方向采用互质频偏的方案,该方案能够解决波束域最大无模糊距离和距离分辨率的矛盾.基于这种频偏结构,本文提出了基于张量的ESPRIT及其实值化算法,并根据传统子空间和张量子空间的定量关系,对该体制下的ESPRIT类算法进行了统一.与已有的ESPRIT算法和频偏方式相比,所提算法充分利用了回波数据内在的多维结构,在解决距离模糊的同时具有更高的定位精度.理论分析和仿真实验结果验证了本文方法的有效性.Target localization utilizing frequency diversity array(FDA) is one of the most popular research directions in the study of radars. Considering the problems of range ambiguity and localization accuracy, this paper investigates the issue of three-dimensional(3D) target localization based on the proposed frequency diversesubaperturing multiple-input multiple-output(FDS-MIMO) radar. First, a fifth-order tensor signal model is established by exploiting the inherent multidimensional structure of the matched filter output. To alleviate the difficulty of range ambiguity, the idea of employing co-prime frequency offsets along the two directions in the planer array is provided. This strategy can resolve the contradiction between the range resolution and maximum unambiguous range in beam domain. The tensor-based complex-and real-valued rotational invariance technique(tensor-and unitary tensor-ESPRIT) algorithms are developed based on frequency offset structure.Given that the inherent multidimensional structure is utilized, the proposed methods can resolve range ambiguity with improved localization performance as compared with the existing ESPRIT algorithm and frequency offset manner. Theoretical analysis and numerical results demonstrate the effectiveness of the proposed approaches.

关 键 词：FDS-MIMO雷达 目标定位 张量子空间 距离依赖波束 距离模糊 互质步进 

分 类 号：TN958[电子电信—信号与信息处理]