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.

TN958

国家自然科学基金资助项目(62171220)