HRR detection theory in coherent Weibull clutter

In this paper, we first introduce the definition of spherically invariant random vector (SIRV) and then give the representation of Weibull distribution by SIRV and two detection algorithms for Weibull clutter. In particular, the optimum detector is derived for the distributed target by the Neyman-Pearson (NP) criterion. Since the optimum NP detector is impossible to realize at the practical situations, we also introduce the GLRT-based adaptive detector. Finally, the numerical results show that the performance loss due to adaptively estimating the covariance matrix and texture component is negligible.