Assume that a modern radar system has a general antenna array configuration consisting of primary channels with high-gain beams and reference channels with low-gain beams. The problem of polarimetric adaptive detection in Gaussian disturbance with an unknown covariance matrix is addressed in this work. An adaptive detector is devised according to the design criterion of generalized likelihood ratio test (GLRT). Analytical expressions for the probabilities of detection and false alarm are derived, which are verified through Monte Carlo simulations. It is found that the proposed GLRT bears the constant false alarm rate property against the disturbance covariance matrix. Simulation results also show that the detection performance becomes better as the number of snapshots increases. In the case of a suitable number of snapshots, the increase of primary channels, reference channels, or polarization channels leads to an improvement of detection performance.

中文翻译：

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用于通用阵列配置中自适应检测的偏振 GLRT


假设现代雷达系统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。这项工作解决了具有未知协方差矩阵的高斯扰动中的极化自适应检测问题。根据广义似然比检验（GLRT）的设计标准设计了自适应检测器。推导了检测概率和误报概率的解析表达式，并通过蒙特卡罗模拟进行了验证。结果发现，所提出的GLRT对于扰动协方差矩阵具有恒定的误报率特性。仿真结果还表明，随着快照数量的增加，检测性能变得更好。在快照数量合适的情况下，主通道、参考通道或偏振通道的增加会导致检测性能的提高。