稳健的稀疏信号单快拍波达方向估计

通过稀疏重构得到传感器阵列输出数据的稀疏表示模型，研究了单快拍采样情形下的信号到达角(Direction of Arrival, DOA)估计问题。提出了一种基于最小均方误差(Minimum Mean-Square Error, MMSE)准则迭代实现的单快拍到达角估计算法(Iterative Implementation of MMSE, II-MMSE)。该算法将原有的稀疏表示模型中稀疏信号矢量的求解问题，转化为迭代求解稀疏功率对角阵，进而估计多目标信号的DOA。给出了算法的完整实现流程，从理论上分析了II-MMSE算法的迭代收敛性和对阵列模型误差的鲁棒性。仿真结果表明，II-MMSE算法在低信噪比、相干背景、小样本、阵列未校准等条件下都具有良好的测向精度和多目标分辨能力。

A single snapshot based robust sparse signal DOA estimation

The signal direction of arrival (DOA) estimation is studied based on the sparse reconstruction of the single snapshot array output. A novel single snapshot based signal DOA estimation algorithm named as iterative implementation of MMSE (II-MMSE) algorithm is proposed based on the iterative implementation of minimum mean-square (MMSE) error criterion. The II-MMSE algorithm converts the solution procedure of sparse signal vector into iteratively solving the sparse power diagonal matrix, and then estimates the signal DOA. The detailed algorithm flow of II-MMSE is summarized. The convergence of the II-MMSE algorithm and its robustness to array modeling errors are analyzed theoretically. Simulation results demonstrate that the proposed II-MMSE algorithm performs well in direction finding accuracy and multiple targets resolution under the conditions of low signal-to-noise ratio, coherent background, limited samples, and uncalibrated sensor array.