An Excitation-DRR Control Approach for Wide-Beam Power Gain Pattern Synthesis

Abstract

The paper maximizes the minimum power gain in a wide-beam mainlobe when satisfies both the desired sidelobe level (SLL) and the array excitation dynamic range ratio (DRR). We, firstly, set up the power gain pattern synthesis (PGPS) problem with mianlobe/sidelobe constraints and DRR constraint. With the aid of two introduced auxiliary variables, the non-convex mainlobe/sidelobe constraints are converted into linear forms. Then, these two linear constraints are written into the cost function to construct an augmented Lagrangian function of the primal optimization problem. A penalty dual decomposition based approach, which iteratively solves the primal variables in the inner loop and the dual variables in the outer loop, is proposed. The proposed algorithm estimates the power-gain-related variables and the SLL-related variables in a pseudo-analytical way while optimizing the array excitation by solving a constrained least square problem. Both linear array and planar array are simulated to assess the effectiveness and superiority of the proposed algorithm on DRR control issue by comparing it with the existing DRR reduction algorithms. Numerical results show that the proposed algorithm can obtain the highest minimum power gain in the wide-beam when satisfies both the desired SLL and the desired low DRR.