Performance Loss Analysis for Neglecting the Weibull Clutter Texture in Wideband Radar Spread Targets Detection

The problem of adaptive detection of spatially distributed targets or targets embedded in Weibull clutter with unknown covariance matrix is studied. At first, the texture and the speckle of Weibull clutter is researched, the texture expression is proposed base on the property of spherically invariant random vector (SIRV) , then the optimal detection statistics regards the texture of clutter as a certain function is derived, another detector regards the texture as an unknown deterministic parameter as a contrast. Next, the numerical results are presented by means of Monte Carlo simulation strategy. Assume that cells of signal components are available. Those secondary data are supposed to possess either the same covariance matrix or the same structure of the covariance matrix of the cells under test. In this context, the simulation results highlight that the performance loss of the two tests in different shaping parameter, then the influence of the Weibull clutter texture on detection performance of test is given.