Optimum Array Processing And Representation Of Nonstationary Random Scattering

The purpose of this paper is to extend scattering function concepts to nonstationary and correlated scattering and use appropriate extensions to study optimum array processors in inhomogeneous Gaussian random noise fields. For this end we will review common functional represe- ntations of nonstationary stochastic processes and indicate how these functional representations can be used for analysis of nonstationary scattering. Then we will give expressions for optimum (maximum likelihood for Gaussian distributions) scalar and array processors in terms of Wigner distributions. Finally, we will use Moyal's formula to derive expressions for the detection indices in terms of Wigner distributions.