Computationally Efficient 2DDOA Estimation for Uniform Planar Arrays:RDROOTMUSIC Algorithm  

均匀面阵中高效率的二维波达方向估计方法:降维求根MUSIC算法

作　　者：YE Changbo ZHU Beizuo LI Baobao ZHANG Xiaofei 叶长波;朱倍佐;李宝宝;张小飞(南京航空航天大学天地一体频谱认知智能实验室,南京211106;南京航空航天大学电子信息工程学院,南京211106)

机构地区：[1]Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,P.R.China [2]College of Electronic and Information Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,P.R.China

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2021年第4期685-694,共10页南京航空航天大学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.61631020,61971218,61601167,61371169)。

摘　　要：The problem of two-dimensional direction of arrival(2D-DOA)estimation for uniform planar arrays(UPAs)is investigated by employing the reduced-dimensional(RD)polynomial root finding technique and 2D multiple signal classification(2D-MUSIC)algorithm.Specifically,based on the relationship between the noise subspace and steering vectors,we first construct 2D root polynomial for 2D-DOA estimates and then prove that the 2D polynomial function has infinitely many solutions.In particular,we propose a computationally efficient algorithm,termed RD-ROOT-MUSIC algorithm,to obtain the true solutions corresponding to targets by RD technique,where the 2D root-finding problem is substituted by two one-dimensional(1D)root-finding operations.Finally,accurate 2DDOA estimates can be obtained by a sample pairing approach.In addition,numerical simulation results are given to corroborate the advantages of the proposed algorithm.波达方向估计是阵列信号处理研究的重要方向之一。本文在降维求根技术和MUSIC算法的基础上,研究了均匀平面阵列的二维波达方向估计问题。首先基于噪声子空间和方向矢量之间的正交关系构造二维求根多项式,并证明该多项式包含无限多个解。为获取这些解中包含的真实目标参数,提出了一种新的低复杂度、计算效率高的算法,即降维求根MUSIC算法。所提算法应用降维求根技术目标的真实解,其中二维求根方程被转换为两次一维求根,该过程有效降低了求根难度。最后,通过一次配对过程获取目标角度参数的估计值。数值模拟验证了该方法的有效性和优越性。

关 键 词：uniform planar array(UPA) direction of arrival(DOA)estimation RD-ROOT-MUSIC algorithm 

分 类 号：TN925[电子电信—通信与信息系统]