基于内插阵列变换的非圆信号MUSIC实值算法

Non-Circular MUSIC Real-Valued Algorithm Based on Virtual Interpolated Array

提出一种基于内插阵列变换的非圆信号MUSIC实值算法(VIA-NC-MUSIC实值算法)。首先利用真实阵列流型与虚拟阵列流型之间的变换矩阵,将真实阵列输出转换为虚拟阵列输出,再根据信号源为实数的特点,分别求取虚拟阵列输出的实部和虚部,将其串联组合,扩展阵列输出的维数,进而得到一种多重信号分类(MUSIC)的波达方向(DOA)估计算法。还分析了VIA-NC-MU-SIC实值算法的计算复杂度,并与复运算的复杂度进行了比较,新算法的复杂度相对较低。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、高分辨力,并且在二维阵元位置误差情况下,新算法的估计性能明显优于阵元位置未校准的NC-MUSIC算法。

A non-circular multiple signal classification（MUSIC） real-valued algorithm based on vir- tual interpolated array （VIA-NC-MUSIC real-valued algorithm） is proposed. Firstly, the real array output is virtually transformed by utilizing transformation matrix which is obtained through the real array manifold and virtual array manifold. Then, according to the characteristic that the signal sources are real-valued, the real part and imaginary part of the transformed constructed in series to extend dimensions, and a array output are obtained and the two parts can be re- multiple signal classification MUSIC direction of arrival （DOA） estimation algorithm is obtained. The computational complexity of VIA-NC-MUSIC real-valued algorithm is also analyzed, and its computational complexity is compared with complex-valued algorithm＇ s computational complexity, and the new algorithm＇ s computational complexity is much lower. Simulation results show that if sensor position errors exist, the performance of the new algorithm is similar to the call-brated non-circular MUSIC algorithm （NC-MUSIC algorithm） by using virtual interpolated array （VIA） for the calibrated sensor position data, and this algorithm also keeps the performance in high accuracy and high resolution, and the performance of the new algorithm is obviously better than that of the non-cal- ibrated NC-MUSIC algorithm in the case of two-dimension sensor position errors.