基于NSGA-Ⅱ算法的重频组多指标优化设计

    Multi-objective Optimization Design for PRF Schedule Based on NSGA-II Algorithm

    • 摘要: 脉冲-多普勒(Pulse-Doppler,PD)雷达的重频组(Pulse Repetition Frequency schedule, PRFs)选择直接影响雷达系统探测性能与解模糊能力。传统重频组设计方法或考虑抗盲区性能,或考虑抗虚影性能,缺乏同时兼顾这两方面的优化,导致整体性能难以达到最优。针对此问题,本文提出一种综合考虑抗盲区性能和抗虚影性能的重频组多指标优化设计算法。首先,建立以距离-速度二维盲区占比最小化和解模糊余量最大化为目标的多指标优化模型;然后,利用第二代非支配排序遗传算法(Non-dominated Sorting Genetic Algorithm-II, NSGA-II)求解上述多指标优化问题,得到帕累托(Pareto)解集;最后,采用逼近理想解排序法(Technique for Order Preference by Similarity to Ideal Solution, TOPSIS)结合熵权法对Pareto解集进行多属性决策,确定最优重频组。仿真实验结果表明,相比已有算法设计的重频组,本文所提算法设计的重频组在抗盲区和抗虚影两个方面的综合性能均有所提升。

       

      Abstract: In Pulse-Doppler (PD) radar systems, the configuration of Pulse Repetition Frequency schedules (PRFs) critically influences detection performance and ambiguity resolution capabilities. Conventional PRFs design algorithms typically focus on either anti-blind-zone or anti-ghost performance individually, lacking an integrated optimization strategy that simultaneously addresses both aspects. This limitation can lead to suboptimal overall performance. To overcome this problem, this paper proposes a novel multi-objective optimization algorithm for PRFs design. This algorithm holistically considers both anti-blind-zone and anti-ghost performances metrics. First, a multi-objective optimization model is established with dual objectives, i.e., minimizing the blind-zone ratio in the range-velocity domain and maximizing the ambiguity resolution margin. Subsequently, the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is employed to solve this optimization problem and obtain the Pareto optimal solution set. Finally, the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) combined with Entropy Weight theory is applied for multi-attribute decision-making on the Pareto set to determine the optimal PRFs. Simulation results demonstrate that, compared to existing algorithms, the PRFs designed by the proposed algorithm achieves superior comprehensive performance in both anti-blind-zone and anti-ghost capabilities.

       

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