Unique Decomposition and a New Model for the Ground Moving Target Indication Problem

In wide-area surveillance radar systems, ground moving target indication is the main task. The underlying mathematical problem is to decompose a complex matrix into a low rank matrix and a structured sparse matrix. In this paper, we show that such decomposition has a unique solution under reasonable assumptions. We propose a phase-based model to fully describe the special sparse structure. An alternating direction method of multipliers is implemented to solve the resulting nonconvex complex matrix problem. Simulation results verify the superior efficiency and the improvement of the new model.