PRI-PSK离散复合编码脉冲串优化设计算法  

Waveform Design Algorithm for PRI-PSK Discrete Composite Encoded Pulse Train

作　　者：张劲东[1] 刘浩 刘思琪 李晨轩 ZHANG Jindong;LIU Hao;LIU Siqi;LI Chenxuan(School of Electronic and Information Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing Jiangsu 211106,China)

机构地区：[1]南京航空航天大学电子信息工程学院,江苏南京211106

出　　处：《现代雷达》2024年第6期15-25,共11页Modern Radar

基　　金：国家自然科学基金资助项目(62171220)。

摘　　要：针对设计具有优良模糊函数和探测性能的重复间隔相位编码(PRI-PSK)离散复合编码脉冲串问题,研究引入脉间离散脉冲重复间隔编码和脉内离散相位编码。通过分析脉冲串中心模糊函数,建立了以最小化模糊函数积分旁瓣为优化目标的PRI-PSK离散复合编码脉冲串波形优化模型。在优化方面,基于最优性条件(KKT)优化框架和交替方向乘子法(ADMM)构建了一个用于优化PRI-PSK离散复合编码脉冲串波形的KKT-ADMM算法。仿真结果表明,所提算法能够显著降低距离和速度模糊函数的积分旁瓣水平,从而有效改善了脉冲串波形的整体性能,此外所设计的波形相较于常规编码信号在转发干扰抑制方面具备不错的抗转发干扰特性。Addressing the challenge of designing pulse trains with excellent ambiguity function and detection performance,this study introduces inter-pulse discrete pulse repetition interval encoding and intra-pulse discrete phase encoding for the PRI-PSK discrete composite encoding pulse train problem.By analyzing the ambiguity function of the pulse train,an optimization model for PRI-PSK discrete composite encoding pulse train waveform is established,with the minimization of the integrated side lobes of the ambiguity function as the optimization objective.In terms of optimization,a KKT-ADMM algorithm is constructed based on the Karush-Kuhn-Tucker(KKT)optimality conditions and the alternating direction method of multipliers(ADMM)framework to optimize the PRI-PSK discrete composite encoding pulse train waveform.Simulation results demonstrate that the proposed algorithm significantly reduces the integrated side lobe levels of the range and velocity ambiguity functions,thereby effectively improving the overall performance of the pulse train waveform.Additionally,the designed waveform exhibits good resistance to forward interference compared to conventional encoding signals in terms of forward interference suppression.

关 键 词：离散复合编码脉冲串 模糊函数 脉冲重复间隔编码 积分旁瓣 最优性条件 

分 类 号：TN958[电子电信—信号与信息处理]