Performance Analysis of Adaptive Detectors for a Distributed Target Based on Subspace Model

For the problem of detecting a distributed target using a subspace model, we examine one nonadaptive detector and three adaptive detectors. The nonadaptive detector was proposed under the assumption that the noise covariance matrix is known a priori, i.e., the detector is the asymptotic optimum detector (AOD). We derive the statistical distribution of the AOD, according to which we obtain analytical expressions for the probabilities of detection and false alarm. Many kinds of simulations are carried out, from which useful results are obtained.