Optimization of the Transmit Weighting Matrix for MIMO Radar Based on the Uniform Elemental Power Constraint

Abstract

To improve the angle estimation performance of the MIMO (Multiple-Input-Multiple-Output) radar, the optimization of the transmit weighting matrix by setting the 2-norm error between the actual synthesized transmitting steering vector and the desired one as the objective function is studied in this paper. The maximization of the transmit power utilization can be enforced via imposing the uniform elemental power constraint on the formulation. Furthermore, a method based on the cyclic algorithm and improved Projection Descent and Retraction (PDR) is provided to settle the equivalent problem under the vectorization of the transmit weighting matrix. The closed solution can be achieved at each iteration, then the computational complexity is low of the proposed method. And the convergence can also be proved. The proposed method obtains the superior performance in angle estimation of MIMO radar based on focusing the transmit power into the desired spatial sector. Finally, simulation results are presented to verify the efficiency of the proposed method.