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An Enumerative NonLinear Programming approach to direction finding with a general spatially spread electromagnetic vector sensor array

机译：通用空间分布电磁矢量传感器阵列的方向寻找的枚举非线性编程方法

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摘要

In this paper, the geometry of a general spatially spread electromagnetic vector sensor (SSEMVS) array is firstly presented. This array has a special cross product structure of the array manifold vector. The g parameters are then defined to uniquely characterize the cross product. With g parameters, the identifiability analysis of the cross product vector based direction finding algorithms of the general SSEMVS array is carried out. The analysis shows that the array has to be carefully designed to avoid ambiguity directions. Finally, a cross-product based Enumerative NonLinear Programming (ENLP) algorithm for the direction of arrival (DOA) estimation with the general SSEMVS array is proposed. The algorithm finds the optimum estimation of DOA in least square sense. Extensive simulations show that the proposed algorithm outperforms existing algorithms, and can approach the CRB effectively.
机译：本文首先介绍了一般的空间扩展电磁矢量传感器（SSEMVS）阵列的几何形状。该数组具有数组流形矢量的特殊叉积结构。然后定义g参数以唯一表征叉积。利用g参数，对通用SSEMVS阵列基于叉积矢量的测向算法进行了可识别性分析。分析表明，必须精心设计阵列，以避免产生歧义。最后，提出了一种基于叉积的枚举非线性规划（ENLP）算法，利用通用SSEMVS阵列进行到达方向（DOA）估计。该算法在最小二乘意义上找到DOA的最佳估计。大量的仿真表明，该算法优于现有算法，可以有效地逼近CRB。

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