基于非均匀线性阵列双远场信源DOA估计的最小分辨率极限

发布时间：2018-05-15 05:40

本文选题：克拉美罗-界 + 远场　；参考：《系统工程与电子技术》2017年03期

【摘要】：考虑到雷达阵列对多目标的分辨率大小是评价波达方向估计算法性能的重要因素,论文基于非均匀线阵模型从克拉美罗-界角度分析了不同信噪比下阵列对两目标的最小分辨率极限。首先推导了关于未知参数(电角度和噪声方差)的双源远场信号模型下非矩阵形式的闭式克拉美-罗界解析式。在此基础上,通过建立最小距离分辨率与克拉美-罗界之间的关系等式,并用泰勒展开等数学运算做近似处理,推导得到了阵列对两信源在正交和非正交情况下的最小距离分辨率极限公式,并进一步揭示了影响系统分辨率性能的物理因素,蒙特卡罗仿真结果验证了理论推导的正确性。该结论可作为评判非均匀阵列设计和衡量波达方向估计算法性能优劣的重要理论依据。
[Abstract]:Considering that the resolution of radar arrays to multiple targets is an important factor in evaluating the performance of DOA algorithms, Based on the nonuniform linear array model, the minimum resolution limit of array to two targets under different signal-to-noise ratio (SNR) is analyzed from Clamero-bound angle. In this paper, we first derive the closed-form Clamei-Row bound analytic formula for the two-source far-field signal model with respect to the unknown parameters (electric angle and noise variance). On this basis, by establishing the relation equation between the minimum range resolution and the Clemei-Luo boundary, and using the Taylor expansion and other mathematical operations to do approximate processing, The minimum range resolution limit formula of array pair two sources under orthogonal and non-orthogonal conditions is derived, and the physical factors that affect the resolution performance of the system are further revealed. The Monte Carlo simulation results verify the correctness of the theoretical derivation. This conclusion can be used as an important theoretical basis for evaluating the performance of non-uniform array design and DOA estimation algorithm.
【作者单位】：西北工业大学自动化学院;中国航天科技集团公司第一研究院战术武器事业部;
【基金】：陕西省自然科学基金(2016JQ6024)资助课题
【分类号】：TN957.51

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