On the Maximal Invariant Statistic for Adaptive Radar Detection in Partially-Homogeneous Disturbance with Persymmetric Covariance

摘要

This letter deals with the problem of adaptive signal detection inpartially-homogeneous and persymmetric Gaussian disturbance within theframework of invariance theory. First, a suitable group of transformationsleaving the problem invariant is introduced and the Maximal Invariant Statistic(MIS) is derived. Then, it is shown that the (Two-step) Generalized-LikelihoodRatio test, Rao and Wald tests can be all expressed in terms of the MIS, thusproving that they all ensure a Constant False-Alarm Rate (CFAR).