基于实值传播算子的非圆信号DOA估计求根算法

Real-Valued Extended Propagator Method for Estimating DOAs of Noncircular Signals with Polynomial Rooting

  • 摘要: 为有效降低非圆信号DOA(direction of arrival)估计算法的计算量,本文提出一种非圆信号DOA估计快速算法,借助实值扩展传播算子和多项式求根方法来降低计算量。首先利用信号非圆特性构造出实值的扩展阵列输出矩阵及扩展协方差矩阵,然后使用扩展传播算子方法代替扩展协方差矩阵的特征分解得到噪声子空间,再利用均匀线阵的多项式求根方法获得目标的DOA估计值。对算法的性能仿真和计算复杂度分析表明,新算法的均方根误差性能与Euler-root-MUSIC、NC-root-MUSIC等快速算法相近,但其计算复杂度小于上述非圆信号DOA估计快速算法。优良的性能和较低的计算量使新算法具有良好的实用价值。

     

    Abstract: A computationally efficient direction-of-arrival (DOA) estimation algorithm for noncircular signals is proposed in this paper. Based on the real-valued extended propagator method and polynomial rooting technique, the algorithm is computationally efficient. Firstly, the real-valued array extension matrix and its covariance matrix are constructed by utilizing the noncircularity of the signals. Secondly, the noise subspace is achieved with extended propagator method without eigendecomposition. Thirdly, the estimated DOAs are obtained by the polynomial rooting method applying to uniform linear arrays. The simulation results indicate that the performance of the algorithm is close to those of Euler-root-MUSIC and NC-root-MUSIC. The analysis of the complexity shows that the algorithm is computationally efficient in comparison to the above mentioned algorithms. The proposed algorithm is of practical value for its good performance and computational efficiency.

     

/

返回文章
返回