Polarization vector signal processing for radar clutter suppression

The statistical model of a radar scatterer illuminated and observed on one channel is extended to suit the two-channel polarization case, accounting for statistical range and Doppler-spread characteristics. The mathematical formulation for the polarization-sensitive scatterer was written in the framework of a random process scattering matrix whose covariance properties took on a sixteen-element tensor of the fourth rank. Each element is expressed in terms of its correlation with respect to range and Doppler; this tensor contained all the backscatter data needed for determining the range/time/polarization-dependent behavior of the received signal for any arbitrary transit polarized waveform.