In this paper, the Alpha-stable distribution and its fractional low order statistics are introduced. An array configuration is devised and a new method based on phase fractional lower-order moment (PFLOM) is proposed for 2-D direction of arrival (DOA) estimation. PFLOM-based covariance matrix of the desired signal can be derived from that of the receive signal. Making use of eigenvalue decomposition and applying least square or total least square method, we can derive DOA. Finally, the ESPRIT methods based on classic covariance matrix, SCM, FLOM, and PFLOM are compared in this paper. Simulations show that the method has robust performance and the smaller bias and mean square errors.%介绍了Alpha稳定分布和其分数低阶矩(FLOM),设计了一种用于2-D波达方向(DOA)估计的阵列配置,并基于相控分数低阶矩(PFLOM)提出了2-D DOA算法.由接收信号的PFLOM协方差矩阵得到有用信号的PFLOM协方差矩阵,对其进行特征值分解,并利用最小二乘或总体最小二乘方法就可得到DOA.最后,比较了基于传统协方差、符号协方差、FLOM和PFLOM的旋转不变技术估计信号参数算法.仿真结果表明,该算法具有鲁棒性和较小的角度估计偏差及均方误差.
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