Model for spatial-correlated clutter and its application to temporal-spatial correlated clutter

Time-correlated clutter simulation based on the zero memory non-linearity transformation (ZMNL) and spherically invariant process (SIRP) suffers from spectrum expansion, and spatial-correlated clutter simulations may suffer from calculation complexity. To overcome these drawbacks, a new method of modelling and simulation of temporal-spatial-correlated clutter is proposed, based on the weighted norm in discrete complex linear space and a simple matrix transformation. Time-correlated clutter sequences with exact spectra can be generated by this algorithm through solving the minimum discrete weighted norm; whereas the spatial-correlated clutter can be generated by simple linear matrix transformations without complex calculations. It is shown that temporal-spatial-correlated clutter can be exactly and simply generated by the proposed method. Numerical simulation results show the feasibility and accuracy of this method.