基于双频虚拟互质阵列的均匀稀疏阵列DOA估计算法  

DOA Estimation Based on Virtual Co-prime Array from Dual-frequency Sparse Uniform Array

作　　者：张伟 刘畅 贾勇 石荣 ZHANG Wei;LIU Chang;JIA Yong;SHI Rong(Science and Technology on Electronic Information Control Laboratory, Chengdu 610036, China)

机构地区：[1]电子信息控制重点实验室

出　　处：《现代雷达》2018年第4期27-30,共4页Modern Radar

摘　　要：提出了一种利用双频工作模式解决均匀稀疏阵列波达方向角（DOA）估计的方法。对一个物理均匀稀疏阵列，引入一个合适的额外工作频率，通过优选阵元数量及阵元间距，构建一个虚拟稀疏阵列，使得虚拟阵元间距与相邻真实均匀稀疏阵列的阵元间距成互质关系；物理均匀稀疏阵列与虚拟阵列组合形成一个自由度更高的虚拟互质阵列，将两个频率的接收信号对应合并后进行相关处理，得到虚拟互质阵列的阵列流形相关矩阵；基于相关间隔与差协同阵阵元位置的一一对应关系，对虚拟相关矩阵进行矩阵增广实现DOA估计，能够获得更高的自由度，突破物理阵元数目对最大可分辨信源数目的限制。基于MUSIC算法的仿真结果验证了算法的可行性。A DOA estimation algorithm of dual-frequency operation based on the sparse and uniform array （ SUA} is proposed in this paper. By properly selecting an additional frequency, the number and the inter-element spacing of virtual elements, an addi- tional virtual SUA is generated whose inter-element spacing is co-prime with that of the physical SUA. The physical and virtual SUAs are combined into a virtual co-prime array which provides more degrees-of-free than the number of the physical elements from the contiguous elements of the corresponding difference co-array. Based on the one-to-one relationship between the correlation units and the difference co-array elements, the correlation matrix augmentation is performed to implement DOA estimation of more uncor- related sources than the number of physical elements. The validation simulation is orovided based on the MUSIC algorithm.

关 键 词：波达方向角估计 稀疏均匀阵列 虚拟互质阵列 双频 

分 类 号：TN974[电子电信—信号与信息处理]