基于MUSIC对称压缩谱的快速DOA估计

为提高波达方向（direction of arrival, DOA）估计的速度、降低运算量，在分析多重信号分类（multiple signal classification, MUSIC）算法原理的基础上，利用噪声子空间降维的思想构造一维MUSIC对称压缩谱(MUSIC symmetrical compressed spectrum, MSCS)。MSCS通过构造共轭噪声子空间并对噪声子空间及其共轭子空间的交集进行奇异值分解得到，其物理实质等效于在空间辐射源的对称位置添加相同数目的镜像辐射源。理论分析和仿真实验表明,MSCS不受实际阵型的限制，能将DOA估计的计算量降至传统MUSIC算法的50%，并具有与MUSIC相当的估计精度。

Fast DOA estimation based on MUSIC symmetrical compressed spectrum

To improve the speed of the estimation of direction of arrival (DOA) and decrease its computational complexity, a new spectrum called multiple signal classification (MUSIC) symmetrical compressed spectrum (MSCS) is proposed based on the analysis of the standard MUSIC algorithm. By creating the conjugate noise subspace, which equals to adding mirror sources in the symmetrical location of true DOAs, the dimension of the noise subspace is descended and MSCS is constructed by the singular value decomposing (SVD) on the intersection of noise subspace and its conjugate subspace. Theoretical analysis and simulation results show that MSCS can be used with arbitrary arrays. Moreover, the new method is capable of reducing the computational complexity of DOA estimation to 50% with a comparable precision to the conventional MUSIC algorithm.