Synthesis of Distributed Array Consisting of Two Subarrays via Hybrid Method of Differential Evolution Optimization and Convex Optimization

In this letter, we present a hybrid optimization method for the synthesis of distributed array consisting of two identical subarrays, which is mainly used on aeroplanes as the front end of communication system, aiming to lower the grating lobe level as much as possible. The proposed method is on the basis of a combination of differential evolution optimization and weighted l
₁
convex optimization. In the procedure of optimization, a hybrid method of optimization is proposed to optimize element positions and excitations to obtain the optimum performance, while multiple constraints are adopted to satisfy the application requirements. Numerical comparisons between different values of parameters are presented to assess the effectiveness of the proposed optimization method, showing the best result of optimization possibly obtained with different parameters.