We consider a modern radar system which has a general antenna array configuration consisting of primary channels with high-gain beams and reference channels with low-gain beams. A generalized likelihood ratio test (GLRT) was proposed in this context for target detection and direction of arrival estimation. However, the analytical performance of the GLRT has not been provided yet. In this paper, we derive finite-sum expressions for the probabilities of false alarm and detection. It is proven that the GLRT exhibits a constant false alarm rate against the overall interference disturbance covariance matrix. Numerical examples show that the detection performance of the GLRT may not necessarily improve when the number of sensors increases

中文翻译：

---

通用相控阵雷达配置中广义似然比测试的性能分析


我们考虑一个现代雷达系统，其具有通用天线阵列配置，由具有高增益波束的主通道和具有低增益波束的参考通道组成。在这种情况下，提出了广义似然比检验（GLRT），用于目标检测和到达方向估计。然而，GLRT 的分析性能尚未提供。在本文中，我们推导了误报和检测概率的有限和表达式。事实证明，GLRT 对于整体干扰扰动协方差矩阵表现出恒定的误报率。数值例子表明，当传感器数量增加时，GLRT的检测性能不一定会提高