基于频域聚焦和稀疏表示的宽带信号DOA估计方法

Direction of Arrival Estimation of Wideband Signal Based on Frequency Domain Focusing and Sparse Representation

针对常规宽带信号测向算法在低信噪比、低快拍数、低角度间隔条件下算法性能严重下降甚至失效的问题,本文创新性地提出一种基于频域聚焦与稀疏表示的宽带信号波达方向(Direction Of Arrival, DOA)估计算法。该算法首先对各频点数据进行聚焦处理,建立参考频率处的基矩阵;然后构造块对角矩阵,并构建基于协方差矩阵的稀疏表示模型,达到无须估计噪声功率就可估计宽带信号波达方向的效果。仿真结果表明,本文所提出的算法在低信噪比、低快拍数、低角度间隔条件下依然可实现对宽带信号DOA的准确估计。

Aiming at the problem that the performance of conventional wideband signal direction finding algorithms is severely degraded or even invalid under the conditions of low signal-to-noise ratio, low snapshots, and low angular interval, this paper innovatively proposes a wideband signal DOA estimation algorithm based on frequency domain focusing and sparse representation. The algorithm first focuses on the data of each frequency point and establishes the basis matrix at the reference frequency;then constructs the block diagonal matrix, and builds a sparse representation model based on the covariance matrix, so that the broadband signal can be estimated without estimating the noise power. The effect of direction. The simulation results show that the algorithm proposed in this paper can still achieve accurate estimation of the wideband signal DOA under the conditions of low signal-to-noise ratio, low number of snapshots, and low angular interval.