The CFAR adaptive subspace detector is a scale-invariant GLRT
The CFAR adaptive subspace detector is a scale-invariant GLRT
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DOI：
10.1109/ssap.1998.739333
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发表时间：
1998-09
期刊：
影响因子：
--
通讯作者：
S. Kraut;L. Scharf
中科院分区：
文献类型：
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作者：
S. Kraut;L. Scharf
恒虚警匹配子空间检测器（CFAR MSD）是一种在噪声协方差结构已知但水平未知的情况下检测目标信号的一致最大功率不变检验和广义似然比检验（GLRT）。当噪声协方差矩阵未知时，CFAR自适应子空间检测器（CFAR ASD）使用基于训练数据的样本协方差矩阵。我们表明，CFAR ASD是GLRT时，测试测量有一个不同的噪声水平比训练数据。这个广义似然检验在两个方面不同于著名的Kelly（1986）的广义似然检验：（1）它们各自的假设检验问题，（2）它们的群变换不变性。因此，CFAR ASD给出了一个正式的理由，并放置在凯利GLRT及其变种，这被称为自适应匹配滤波器（AMF）在文献中的上下文中。
The CFAR matched subspace detector (CFAR MSD) is the uniformly-most-powerful-invariant test and the generalized likelihood ratio test (GLRT) for detecting a target signal in noise whose covariance structure is known but whose level is unknown. When the noise covariance matrix is unknown, the CFAR adaptive subspace detector (CFAR ASD) uses instead a sample covariance matrix based on training data. We show that the CFAR ASD is GLRT when the test measurement has a different noise level than the training data. This GLRT differs from the well-known GLRT of Kelly (1986) in two respects: (1) their respective hypothesis testing problems, and (2) their group-transformation invariances. Thus the CFAR ASD is given a formal justification and placed in context with the Kelly GLRT and its variants, which have been called adaptive matched filters (AMFs) in the literature.