中文摘要：

基于联合稀疏表示的思想,本文提出了一种利用二阶循环统计量的循环平稳信号波达方向（DOA）估计算法。首先,对传统的谱相关信号子空间拟合算法进行分析研究;然后,通过在循环域构造过完备的阵列方向矩阵字典,建立了联合稀疏表示模型,从而将循环平稳信号的DOA估计问题转化为联合稀疏矩阵的恢复问题;最后,利用联合l2,0逼近法求出联合稀疏矩阵的优化解,并根据优化矩阵中非零行的位置估计出循环平稳信号的DOA。与传统的SCSSF算法相比,所提算法具有更高的DOA估计精度,同时也适用于信号个数多于阵元个数的场合。理论分析和仿真实验结果都表明了算法的有效性。

英文摘要：

Based on the idea of joint-sparse representation, a direction of arrival （DOA） estimation method of cyclostation- ary signals using the second order cyclic statistic is proposed in this paper. Firstly, the conventional spectral correlation sig- nal subspace fitting algorithm is analyzed and researched. Then, by constructing overdeterminated dictionary of array direc- tion matrix in the cycle domain, the joint-sparse signal representation model is formed and the problem of DOA estimation of cyclostationary signals is thus converted into that of recovery of the joint-sparse matrix. Finally, the optimal solution of the joint-sparse matrix is given by using the jointl0 approximation approach, and the DOA estimates are obtained according to the locations of non-zero rows in the optimal joint-sparse matrix. Compared with the conventional spectral correlation signal subspace fitting algorithm, the proposed method has higher DOA estimation precision, and is also suitable to the scenario that the number of signals is more than that of array elements. Theory analysis and simulation results both validate the effec- tiveness of the proposed method.