Design of 4D Irregular Tiled Arrays Based on Mixed Integer Second Order Cone Programming

Abstract

A method for the design of 4D tiled arrays based on mixed integer second order cone programming (MISOCP) is presented. The method guarantees to simultaneously achieve the maximum directivity and lowest sidelobe level by exploiting the convexity of the problem with respect to the subarray weights and transforming the non-convex clustering problem into a convex one. Numerical simulations show that the reduction of directivity is only 3.77dB with up to 75% reduction in number of transmit/receive (T /R) modules when scanning to 30° for E/H plane as compared with conventional fully-populated Taylor array.