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Self-Calibration of Mutual Coupling for Non-uniform Cross-Array

机译：非均匀交叉阵列相互耦合的自校正

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摘要

Based on the non-uniform cross-array, a self-calibration algorithm is proposed to simultaneously estimate the angle of the impinging signal and the mutual coupling error. Firstly, the mutual coupling matrix of the non-uniform cross-array is divided into two parts: the mutual coupling matrix in non-uniform linear array and the mutual coupling matrix between non-uniform linear arrays. Then, the partitioned mutual coupling matrix is decomposed into the sum of several matrices with special characteristics. Thus, the decoupling of angle and mutual coupling coefficients is realized conveniently, so as to estimate the angle of the signal and mutual coupling coefficients. The proposed algorithm does not need auxiliary sources or prior information of the mutual coupling matrix. Moreover, it can reduce the search dimension, and hence, the amount of computation. Theoretical analysis and simulation results show that the proposed algorithm has improved angular resolution and it can estimate the mutual coupling error coefficients precisely. Hence, it can effectively solve the mutual coupling problem for the non-uniform cross-array.
机译：提出了一种基于非均匀交叉阵列的自校准算法，可以同时估计入射信号的角度和互耦误差。首先，将非均匀交叉阵列的互耦合矩阵分为两部分：非均匀线性阵列的互耦合矩阵和非均匀线性阵列之间的互耦合矩阵。然后，将分割后的互耦合矩阵分解为具有特殊特征的几个矩阵之和。这样，可以方便地实现角度和互耦系数的解耦，从而估计信号的角度和互耦系数。所提出的算法不需要互耦矩阵的辅助源或先验信息。此外，它可以减小搜索范围，从而减少计算量。理论分析和仿真结果表明，该算法提高了角分辨率，可以精确估计互耦误差系数。因此，可以有效地解决非均匀交叉阵列的相互耦合问题。

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