集成先验的低复杂度Nyström-MUSIC方法  

Low-complexity Nyström-MUSIC method based on prior information

作　　者：刘秋雨 蒋彦雯 范红旗[1,2] 连红飞 LIU Qiuyu;JIANG Yanwen;FAN Hongqi;LIAN Hongfei(National Key Laboratory of Automatic Target Recognition,National University of Defense Technology,Changsha 410073,China;College of Electronic Science and Technology,National University of Defense Technology,Changsha 410073,China)

机构地区：[1]国防科技大学自动目标识别全国重点实验室,长沙410073 [2]国防科技大学电子科学学院,长沙410073

出　　处：《航空学报》2023年第22期57-67,共11页Acta Aeronautica et Astronautica Sinica

基　　金：国家重点研发计划(2022YFB3902400)。

摘　　要：传统多重信号分类(MUSIC)方法具有较高的角度分辨率和估计精度,但其子空间分解和谱峰搜索的计算复杂度较高、实时性较差,在阵列雷达系统的实际应用中受到了极大限制。为解决算力有限时阵列雷达角度估计性能受限的难题,提出了集成先验的Nyström-MUSIC方法,先后通过Nyström近似降低协方差矩阵维度和先验角度信息缩小谱峰搜索范围,分别减小了子空间分解的矩阵规模和谱峰搜索次数,有效降低了MUSIC方法的计算复杂度。仿真表明:集成先验的Nyström-MUSIC方法在具备与传统MUSIC方法相当的分辨性能和估计精度的条件下,将算法复杂度降低了8倍,运行时长减少80%以上,实现了对目标方位的快速高精度估计。The traditional Multiple Signal Classification(MUSIC)method has high angle resolution and estimation ac⁃curacy,but the high computation complexity and poor real-timeliness involved in using the method for subspace de⁃composition and spectral peak search greatly limit its practical application in array radar systems.To address the prob⁃lem that the angle estimation performance of array radar is limited when the computing power is limited,a lowcomplexity Nyström-MUSIC method based on prior information is proposed.The Nyström approximation is succes⁃sively exploited to decrease the dimension of the covariance matrix and the prior angle information to determine the spectral peak search in a small area.The matrix size of the subspace decomposition and the time of spectral search are reduced,and finally the computation complexity of MUSIC method is effectively reduced.Simulation results illus⁃trate that compared with the traditional MUSIC method,the low-complexity Nyström-MUSIC method based on prior in⁃formation reduces the computation complexity by 8 times and cuts the running time by more than 80%under the condi⁃tion of comparable resolution performance and estimation accuracy.It is verified that the method proposed can realize fast and high-precision estimation of the target azimuth.

关 键 词：角度估计 低复杂度 先验信息 Nyström近似 多重信号分类(MUSIC) 

分 类 号：V243.2[航空宇航科学与技术—飞行器设计]