基于凸优化的双极化阵列发射波束唯相位调控方法  

A Phase⁃Only Beamforming Method of the Transmitting Beam for Dual⁃Polarized Array Based on Convex Optimization

作　　者：路东伟 马佳智[1] 刘甲磊 施龙飞[1] LU Dongwei;MA Jiazhi;LIU Jialei;SHI Longfei(State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System,National University of Defense Technology,Changsha 410073,China)

机构地区：[1]国防科技大学电子信息系统复杂电磁环境效应国家重点实验室,湖南长沙410073

出　　处：《雷达科学与技术》2025年第2期119-124,141,共7页Radar Science and Technology

基　　金：国家自然科学基金(No.61921001)。

摘　　要：以往的阵列发射波束形成技术研究大多致力于解决发射波束的高增益和低旁瓣问题。然而随着智能干扰机技术和反辐射技术的不断发展,阵列发射波束更加容易被对方侦察感知,这就使得雷达系统的战场生存问题愈发突出。为了充分利用阵列发射功率并提高阵列雷达的反侦察能力,本文提出了一种基于凸优化理论的双极化阵列发射波束唯相位形成方法。该方法通过约束水平和垂直极化阵的方向图的幅度和相位,生成具有特定极化状态的高增益主瓣波束和极化域-空域旁瓣零陷,从而在降低干扰区域发射功率的同时使得主瓣畸变较小。在数值仿真中,本文方法将唯相位约束中的非凸问题通过泰勒展开转换为凸优化问题后进行求解。仿真结果说明了本文方法的正确性。Most of the previous researches on array beamforming technology is devoted to addressing the challenges of achieving high gain and minimizing sidelobes of transmitting beam.However,with the continuous development of intelligent jammer technology and anti-radiation technology,the array transmitting beam is more likely to be detected and perceived by the other side,which makes the battlefield survival problem of radar system more prominent.To optimize the transmitting power of array beams and improve the anti-detection capability of array radars,a phase-only beamforming method for dual-polarization array transmit beam based on convex optimization theory is proposed in this paper.This technique produces a high-gain main lobe beam with a specific polarization state and sidelobe nulls in the polarization-space joint domain,which is achieved by controlling the amplitudes and phases of the pattern of the horizontal and vertical arrays,thereby reducing the transmission power in the interference region and making the main-lobe distortion smaller.In numerical simulations,the non-convex problem associated with the phase-only constraint is reformulated into a convex optimization problem via Taylor expansion.The simulation results demonstrate the correctness of the proposed.

关 键 词：双极化阵列 凸优化 唯相位波束形成 反侦察 

分 类 号：TN973.2[电子电信—信号与信息处理]