非圆信号多级维纳滤波DOA估计求根算法

DOA Estimation of Noncircular Signals with Multistage Wiener Filter and Polynomial Rooting

针对非圆信号DOA估计的计算量问题,运用多级维纳滤波和信号子空间的多项式求根方法,提出了一种快速算法。首先利用非圆信号特性构造出扩展阵列输出矩阵,然后不需进行协方差矩阵的生成和分解,利用多级维纳滤波求出信号子空间,针对均匀线阵推导出信号子空间多项式求根方法,得出目标的DOA估计值。新算法的均方根误差性能与非圆信号求根MUSIC算法、非圆信号ESPRIT算法、非圆信号扩展传播算子算法等快速算法相仿,但是计算量小于已有的算法,特别是在阵元数较多的情况下算法的实时性优势更加明显。

A computationally efficient direction-of-arrival （DOA） estimation algorithm for noncircular signals based on multistage wiener filter theory and polynomial rooting technique is proposed. Firstly, the array extension matrix is constructed by utilizing the noncircularity of the signals. Secondly, the signal subspace is achieved with multistage Wiener filter （MSWF）, which does not require the formation of the covariance matrix and its eigendecomposition. Thirdly, the polynomial rooting method of the signal subspace is derived based on uniform linear arrays, by which the estimate of DOA are obtained. The proposed algorithm is more computationally efficient, especially for the ease of large number of sensors, in comparison with NC-root-MUSIC, NC-ESPRIT and extended propagator method （EPM）, although their performances are near the same.