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

Yankai Ma, Shiwen Yang, S. Qu, Yikai Chen, Jun Hu, P. Rocca
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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.
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基于混合整数二阶锥规划的四维不规则平铺阵列设计
提出了一种基于混合整数二阶锥规划(MISOCP)的四维平铺阵列设计方法。该方法利用问题相对于子阵列权值的凸性,将非凸聚类问题转化为凸聚类问题,保证了同时实现最大指向性和最低副瓣水平。数值模拟表明,与传统的全填充泰勒阵列相比,当扫描到E/H平面30°时,指向性降低仅为3.77dB,发射/接收(T /R)模块数量减少高达75%。
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