基于非均匀线阵的压缩感知波达方向估计

Direction of Arrival Estimation Using Compressed Sensing Based on Non-uniform Linear Array

为提高压缩感知波达方向估计的阵列利用率,提出一种基于非均匀线阵的正交匹配追踪(OMP)算法。根据来波方向的大致范围,分别利用等角度方式和等正弦方式将空间角度划分成若干份,使用非均匀线阵作为信号的接收阵列,并将经过角度划分的非均匀线阵阵列流形阵作为观测矩阵,采用观测矩阵对信号进行投影测量得到维数较低的观测值,从观测值中重构原信号,进而得到待估计信源的方位信息。仿真结果表明,与多重信号分类(MUSIC)算法相比,该算法所需快拍数小、抗噪能力强、阵列利用率高,与均匀线阵条件下的OMP算法和基于空间平滑的MUSIC算法相比,具有更高的测角分辨力和更强的解相干能力。

In order to improve the array utilization rate of Direction of Arrival（DOA）estimation using Compressing Sensing（CS）,this paper proposes an Orthogonal Matching Pursuit（OMP）algorithm based on Nonuniform Linear Array（NLA）.For the proposed algorithm,the observation space which is divided into a plurality of parts according to the rough range of DOA by using uniform angle division and uniform sine division.It uses the NLA to accept the signal,and makes the angle divided NLA manifold as measuring matrix.It projects and measures the signal with measuring matrix to achieve the observation value which has lower dimension,reconstructs the sparse signal and estimates the DOA from the observed values.Simulation results show that this algorithm needs fewer number of snapshots,achieves excellent anti-noise performance,and gets higher array utilizable rate compared with Multiple Signal Classification（MUSIC）algorithm.It also achieves higher angular resolution and the ability of dealing with coherent sources compared with OMP algorithm and MUSIC algorithm based on Spatial Smoothing（SS）under the Uniform Linear Array（ULA）.