稳健的稀疏信号单快拍波达方向估计

A single snapshot based robust sparse signal DOA estimation

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。

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.