共形阵列幅相误差校正快速算法

A Fast Method for Gain-phase Error Calibration in Conformal Array

基于子空间的联合迭代算法可以实现对空间信源方位和阵列幅相误差参数的联合估计。当对共形阵列进行幅相误差校正时,由于其空域导向矢量不具有Vander monde结构,导致快速高分辨空间谱估计方法无法直接应用,而利用2维谱峰搜索实现空间方位估计的运算量较大,限制了算法在共形阵列上的应用。针对此问题,该文提出一种借助虚拟阵列实现共形阵列幅相误差校正的新方法。该方法利用虚拟阵列的特殊结构快速实现对信源的DOA估计,省去了谱峰搜索过程,因而运算复杂度低,便于工程实现。理论分析和仿真结果验证了所提算法的有效性,可为共形阵列的工程应用提供参考。

The joint estimation of the Direction of Arrival （DOA） and gain-phase errors can be implemented by the joint iteration method based on the eigen structure subspaces. However, when applying the method to correct the amplitude and phase error of the conformal array, the fast high-resolution spatial spectrum estimation methods can not be applied directly, because of that the space-domain steering vectors of the conformal array does not possess the Vander monde structure. On the other side, the computation of DOA estimation implemented by searching peak of spatial spectrum in 2-dimension is very large, which limits the application of joint iteration method in conformal array. To solve this problem, this paper proposes a new method for gain-phase error calibration in conformal array by virtual interpolation. The DOA estimation can be implemented rapidly by utilizing the special structure of virtual array, and the searching process of the spatial spectrum peak is eliminated, thus the computational complexity of the proposed method is low and the engineering realization of the proposed method is easy. Theoretical analysis and extensive simulations verify the effectiveness of the proposed methods, and provide a reference for the engineering applications of conformal arrays.