关键词: 阵列信号处理, 二维波达方向估计, 压缩感知, 冗余字典, 稀疏表示, 高斯随机测量矩阵

Abstract: A new two-dimensional （2-D） Direction Of Arrival （DOA） estimation algorithm based on Compressed Sensing （CS） is proposed with L-shaped array. After a space combined angle consists of azimuth and elevation angles is defined, a redundant dictionary is constructed through equally cosine partitioning the space combined angle. And then the output data vector of subarrays can be sparsely represented by the dictionary. In this work, Gauss measuring matrix is constructed by randomly sampling unit column vectors, and the bearings of spatial targets are estimated by improved Orthogonal Matching Pursuit （OMP） algorithm. By contrast with conventional 2-D MUSIC algorithm, simulations are evaluated and the results show that the new algorithm can achieve much better performance under the condition of lower Signal-to-Noise Ratio （SNR）, single snapshot of data, near and coherent sources.

Key words: array signal processing, two Dimensional Direction of Arrival（DOA） estimation, Compressed Sensing（CS）, redundant dictionary, spare representation, Gauss random measuring matrix