This paper studies adaptive radar detection of a subspace signal embedded in two disturbance sources. The former is thermal noise with known power. The latter is a Gaussian subspace interference with zero mean and unknown covariance matrix (CM). It is assumed that the signal and interference subspaces are known and partially related. As customary, several secondary data containing only interference and thermal noise are used to estimate this interference CM. This paper derives the generalized likelihood ratio test (GLRT), and theoretically deduces the probabilities of false alarm (PFA) and detection of the new detector. This PFA shows that the new detector has the constant false alarm rate (CFAR) property against the interference CM. Several numerical experiments are performed to evaluate the detection performance of the new detector. The results show that the performance of the new detector is better than the natural counterparts in some scenarios.

中文翻译：

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结构化随机干扰加热噪声中子空间信号的自适应检测

本文研究了嵌入在两个干扰源中的子空间信号的自适应雷达检测。前者是已知功率的热噪声。后者是具有零均值和未知协方差矩阵 (CM) 的高斯子空间干扰。假设信号和干扰子空间是已知的并且部分相关。按照惯例，使用仅包含干扰和热噪声的若干次要数据来估计该干扰CM。本文推导了广义似然比检验（GLRT），并从理论上推导出了误报（PFA）和新检测器检测的概率。该 PFA 表明新检测器具有针对干扰 CM 的恒定误报率 (CFAR) 特性。进行了几个数值实验来评估新检测器的检测性能。