非圆信号扩展传播算子DOA估计求根算法

Extended Propagator Method for Noncircular Signals Estimation with Polynomial Rooting

为有效降低非圆信号DOA估计算法的计算量,提出了一种非圆信号DOA估计快速算法。该算法运用扩展传播算子和多项式求根方法来降低计算量。首先根据非圆信号特性构造出扩展阵列输出矩阵,并生成扩展协方差矩阵,然后不需要对协方差矩阵的特征分解,使用扩展传播算子方法得到估计的扩展噪声子空间,再利用均匀线阵的多项式求根方法快速求出目标的DOA估计值。对算法的性能仿真和计算复杂度分析结果表明,提出的算法不但其均方根误差性能与NC-root-MUSIC、NC-ESPRIT、NC-MSWF-MUSIC等快速算法相似,同时提出的算法还大大减小了非圆信号DOA估计MUSIC算法的计算复杂度,而且其计算复杂度小于上述提到的快速算法,实现了非圆信号DOA估计算法的快速估计。

For reducing the complexity of non - circular signal, the paper proposes a computationally efficient direction- of- arrival （DOA） estimation algorithm for noncircular signals. Firstly, the array extension matrix is constructed and the covariance matrix is formed by the characteristics of non - circular signal. Secondly, the noise subspace is achieved by using the extended propagator method without the eigendecomposition of the covariance matrix. Thirdly, the estimating value of DOA is obtained by the polynomial rooting method based on uniform linear arrays. The simulation results indicate that the performances - ESPRIT and NC - MSWF - MUSIC. The analysis of the algorithm are close to those of NC - root - MUSIC, NC of the complexity show that the proposed algorithm is computationally efficient in comparison to the above mentioned algorithms without complex computation and also demonstrate the rapid and effective performances of the proposed algorithm.