基于内插阵列变换的非圆信号MUSIC算法

Non-Circular MUSIC Algorithm Based on Virtual Interpolated Array

针对非圆信号的波达方向(DOA)估计问题,提出一种基于内插阵列变换的非圆信号MUSIC算法(VIA-NC-MUSIC算法)。利用真实阵列流型与虚拟阵列流型之间的变换矩阵,将真实协方差矩阵变换为虚拟协方差矩阵,再对虚拟协方差矩阵进行奇异值分解(SVD),利用信号子空间与噪声子空间的正交性,得出算法的空间谱函数。仿真实验表明:存在阵元位置误差的情况下,新算法通过对阵元位置校准数据进行内插阵列变换(VIA),取得与阵元位置校准的非圆信号MUSIC算法(NC-MUSIC算法)相当的估计性能,保持了高估计精度、阵列扩展能力等优点。

A non-circular MUSIC （multiple signal classification） algorithm based on virtual interpolated array （VIA-NC-MUSIC algorithm） is proposed to estimate the direction of arrival （DOA） problem of non-circular signals. By utilizing transformation matrix which is obtained through the real array manifold and virtual array manifold, the real covariance matrix can be converted to virtual covariauce matrix, and the spatial spectrum function can be obtained by orthogonality of signal subspace and noise subspace after singularity value decomposition （SVD） of virtual covariance matrix. Simulation results show that if sensor position errors exist, the performance of the new algorithm is similar to the calibrated non-circular MUSIC algorithm （ NC-MU- SIC algorithm） by using virtual interpolated array （VIA） for the calibrated sensor position data, and this algorithm also keeps the performance in array extension and high accuracy.