均匀加结构干扰下自适应雷达检测的统一框架--第一部分：最大不变统计量
A Unifying Framework for Adaptive Radar Detection in Homogeneous plus Structured Interference-Part I: On the Maximal Invariant Statistic
摘要：
本文研究了在协方差矩阵未知的齐次高斯干扰和结构确定性干扰下的多维/多通道信号自适应检测问题。上述问题对应于众所周知的广义多元方差分析（GMANOVA）的推广。在这第一部分的工作中，我们制定了考虑的问题的规范形式，并确定了一个理想的一组考虑的假设检验的转换后，我们得到了最大不变统计量（MIS）的问题在手。此外，我们提供的MIS分布的形式的随机表示。最后，强有力的连接到MIS中获得的公开文献中更简单的方案强调。
英文摘要：
This paper deals with the problem of adaptive multidimensional/multichannel signal detection in homogeneous Gaussian disturbance with unknown covariance matrix and structured deterministic interference. The aforementioned problem corresponds to a generalization of the well-known Generalized Multivariate Analysis of Variance (GMANOVA). In this first part of the work, we formulate the considered problem in canonical form and, after identifying a desirable group of transformations for the considered hypothesis testing, we derive a Maximal Invariant Statistic (MIS) for the problem at hand. Furthermore, we provide the MIS distribution in the form of a stochastic representation. Finally, strong connections to the MIS obtained in the open literature in simpler scenarios are underlined.
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