利用微分几何参数优化圆阵测向性能的方法研究

Research on Improving the Performance of Direction-of-Arrival Estimation in Circular Array with Differential Geometry Parameters

  • 摘要: 阵列测向系统的测向性能除了受所选算法影响外,阵列的几何结构也是重要的影响因素。本文利用微分几何工具,首先研究了平面阵阵列流形的微分几何参数与信号来向估计精度之间的关系,在此基础上推导并分析了圆阵在各方向上的测向性能与阵列几何布局的关系,讨论了影响测向性能的因素,最后给出了在圆阵孔径与阵元数固定的条件下,通过调整阵元在圆周上的位置来优化单信号入射时阵列某方向上测向性能的方法,并通过对几组不同几何布局的圆阵进行计算机仿真对比和分析,验证了设计思路的可行性,这为实际应用中阵列结构的选择提供了有用的参考。

     

    Abstract:  In addition to the type of algorithm which is selected, the geometric configuration of the array is also an important factor that affects the performance of Direction-Of-Arrival (DOA) estimation in the array direction-finding system. The relationship between the differential geometry parameters of array manifold and direction-finding accuracy of array is firstly studied by using the tools of differential geometry in the paper. Based on this, the relationship between direction-finding accuracy of circular array and its geometric configuration has been deduced and analyzed, and the factors which affect the performance of DOA estimation are discussed. Finally, an approach to improve the performance of direction-finding of the array system in some directions while one signal is impinging by adjusting the elements’ positions on the circle is proposed, and the validity of the method is verified by comparing and analyzing several arrays with different configurations in computer simulations. It supplies useful reference for the choice of array configuration in actual applications.

     

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