基于LFSDR的恒模赋形方向图综合方法  

Method of Constant Modulus Shaped Beam Synthesis Based LFSDR

作　　者：王晓东 胡孟凯 窦修全[2,3] 杜宇峰 苗峻[2,3] WANG Xiaodong;HU Mengkai;DOU Xiuquan;DU Yufeng;MIAO Jun(Shaanxi Institute of Medical Device Quality Inspection,Xi'an 710065;The 54th Research Institute of China Electronics Technology Group Corporation,Shijiazhuang 050081;Hebei Key Laboratory of Electromagnetic Spectrum Cognition and Control,Shijiazhuang 050081)

机构地区：[1]陕西省医疗器械质量检验院,西安710065 [2]中国电子科技集团公司第五十四研究所,石家庄050081 [3]河北省电磁频谱认知与管控重点实验室,石家庄050081

出　　处：《舰船电子工程》2022年第9期111-115,共5页Ship Electronic Engineering

基　　金：国家自然科学基金面上项目(编号:81872837)资助。

摘　　要：目前阵列天线的恒模赋形方向综合算法,多采用基于二阶锥规划和交替方向乘子法的设计方法,其存在运算量大,求解不稳定的问题。为降低天线阵列系统的复杂度,更有利于天线系统的馈电应用,论文提出了一种基于线性分式半正定松弛的恒模赋形方向图综合方法,该方法利用线性分式半正定松弛技术对恒模约束进行松弛,从而得到一个易于求解的凸优化问题,保证求解的稳定性,达到阵元激励等幅度设计要求。仿真试验结果表明,该方法能有效地实现恒模激励的赋形方向图综合,运算量小,求解更加稳定,具有较好的工程应用价值。At present,constant modulus shaped beam synthesis methods are almost based on second-order cone programming(SOCP)and alternating direction method of multiplier(ADMM),these methods require huge computation and are not stable.In order to reduce the complexity of antenna array,and be more conductive to the feeding,this paper proposes a method based on linear fractional semidefinite relaxation(LFSDR).This method uses LFSDR to relax constant modulus constraint,a convex problem is obtained.It can guarantee the stability of solution and meet the requirement of excitation amplitude.Simulation results indicate that the proposed method can synthesis the shaped beam with constant modulus excitations effectively,the computation burden is more slight and the solution procedure is more robust.And good engineering application value is also demonstrated.

关 键 词：赋形方向图综合 恒模 线性分式半正定松弛 自适应阵列 

分 类 号：TN911[电子电信—通信与信息系统]