In order to improve the'/> 2D DOA Estimation of UCA Correlative Interferometer Based on One Dimensional Sorting Lookup Table-Two Dimensional Linear Interpolation Algorithm
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2D DOA Estimation of UCA Correlative Interferometer Based on One Dimensional Sorting Lookup Table-Two Dimensional Linear Interpolation Algorithm

机译：基于一维排序查询表-二维线性插值算法的UCA相关干涉仪的二维DOA估计

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In order to improve the direction-finding efficiency of the correlative interferometer and reduce the size of the lookup table, this paper proposes the one dimensional sorting lookup table-two dimensional linear interpolation (1DSLUT-2DLI) algorithm. Firstly, the uniform circular array (UCA) model is established and the direction finding (DF) theory of the correlative interferometer is analyzed. A new lookup table is obtained by proceeding the ascending order for the first dimensional phase differences and a one dimensional iterative filtering method is used to look up the new table to get the direction of arrival (DOA) estimation. Compared to the exist methods, the 1DSLUT algorithm can reduce the computational complexity greatly. Considering the burden of a big lookup table, this paper proposes the 2DLI algorithm. Through the Taylor expansion, the conclusion that the phase difference is approximately linear in a small angle range is obtained. So, the linear interpolation can be applied to calculate the phase differences in the azimuth direction and elevation direction. On this basis, we conclude the equations to get the DOA estimation using the 2DLI algorithm. In this way, the size of the lookup table is reduced greatly, which decreases the computational complexity greatly also. The numerical simulations verify the effectiveness of the 1DSLUT-2DLI algorithm and it can obtain a pretty high DOA estimation precision with a low computational complexity and a small lookup table.
机译：为了提高相关干涉仪的测向效率并减小查找表的大小，本文提出了一维排序查找表-二维线性插值（1DSLUT-2DLI）算法。首先，建立了均匀圆形阵列（UCA）模型，并分析了相关干涉仪的测向（DF）原理。通过对一维相位差进行升序来获得新的查找表，并使用一维迭代滤波方法查找新表以获得到达方向（DOA）估计。与现有方法相比，1DSLUT算法可以大大降低计算复杂度。考虑到大查找表的负担，本文提出了2DLI算法。通过泰勒展开，得出在小角度范围内相位差近似线性的结论。因此，线性插值可用于计算方位角方向和仰角方向上的相位差。在此基础上，我们得出方程式，以使用2DLI算法获得DOA估计。这样，查找表的大小大大减小，这也大大降低了计算复杂度。数值仿真验证了1DSLUT-2DLI算法的有效性，可以以较低的计算复杂度和较小的查找表获得较高的DOA估计精度。

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