一种基于最小流形长度的高精度线阵设计

 传统上以阵列孔径来比较各种线阵的测向性能，但这一指标没有考虑到阵元数目及阵列几何布局对阵列性能的影响。因子空间类算法需搜索阵列流形来进行测向，所以阵列流形对阵列性能有重要影响。阵列流形又是阵元数、阵列几何布局的函数，可通过阵列流形来研究阵元数、阵列几何布局与阵列测向性能的关系。在分析了线阵流形与线阵测向精度的关系的基础上,提出了一个基于线阵最小流形长度的指标来比较不同线阵的性能，该指标综合考虑了阵元数、阵列几何布局对阵列测向精度的影响。通过对此指标的讨论，给出了提高线阵测向精度的设计思路。对几个不同线阵的仿真证实了该指标的有效性，也验证了该设计思路的可行性。

An Approach to Designing Linear Array with High Accuracy DOA Estimate Based on Minimal Manifold Length

Conventionally,the aperture of array is used as an index to compare the performances of different linear arrays,but it does not take into consideration the number of sensors and the geometric configuration of array.To find the directions of arrival(DOA) signals,the manifold of array is searched in subspace class algorithms,so the array manifold plays a key role in DOA estimate.Meanwhile,array manifold is a function of the number of sensors and geometric configuration of an array.It can be used as a tool to study how the number of sensors and the geometric configuration of array influence the array performances.The relationship between the accuracy of DOA estimate and the manifold length of linear array is analyzed,an index based on minimal manifold length is abstracted from the relationship to compare the accuracy of DOA estimates among different linear arrays,the index take into account the effects of the number of sensors and the geometric configuration of linear array.By investigating the index,an approach to designing geometric configuration of linear array with high accuracy performances is proposed.The results of stimulation verify the effectiveness of the index and the approach.