基于压缩感知的频率和DOA联合估计算法

United Frequency and DOA Estimation Algorithm Based on Compressed Sensing

波达方向(DOA)估计是阵列信号处理的一个重要问题,针对信号的DOA估计问题,本文基于压缩感知理论,提出了一种新的频率和角度联合估计算法。首先利用方向波数的空间稀疏性,建立过完备稀疏字典,然后利用压缩采样阵列结构通过求解最优化问题得到方向波数的高分辨估计,最后利用最优空域滤波实现信号到达角度和频率的配对。相对于传统算法,该算法能够实现多信号DOA的高分辨估计,且经过压缩采样后降低了运算量,仿真验证了该算法的正确性与有效性。

The direction-of-arrival （DOA） estimation is an important issue in array signal processing.For this purpose,a new united frequency and DOA estimation algorithm based on compressed sensing is proposed in this paper.First,an overcomplete sparse dictionary is established using the sparseness of the direction-of-wave number space and then with the compressive sampling array architecture,a high resolution direction-of-wave number estimation is achieved.Finally,the spatial filtering method is used to make a match of the direction-of-wave number with its frequency.Compared with the traditional methods,the proposed method reduces computational complexity by compressive sampling and realizes high resolution DOA estimation of multiple signals.The simulation results verify the effectiveness and feasibility of the method.