A Unifying Framework for Adaptive Radar Detection in Homogeneous Plus Structured Interference— Part I: On the Maximal Invariant Statistic

作者：Domenico Ciuonzo, Antonio De Maio, Danilo Orlando · 发表于：IEEE Transactions on Signal Processing · 年份：2016 · DOI：10.1109/tsp.2016.2519003 · 被引用次数：112 · 研究领域：Radar Systems and Signal Processing、Direction-of-Arrival Estimation Techniques、Distributed Sensor Networks and Detection Algorithms

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 Part I of the paper, 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.