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多策略增强型灰狼-粒子群混合算法在射电天线阵列优化中的应用与分析

Application and Analysis of Multi-Strategy Enhanced Grey Wolf Particle Swarm Algorithm in Radio Array Optimization

  • 摘要: 射电天线阵的峰值旁瓣电平(Peak Side Lobe Level, PSLL)、灵敏度与方向性直接决定了系统的微弱信号探测、抗干扰及分辨率性能. 在高频(High Frequency, HF)至甚高频(Very High Frequency, VHF)段的应用中, 均匀阵列存在旁瓣过高、宽角扫描易现栅瓣的问题, 而传统稀布阵列优化算法易早熟收敛、陷入局部最优. 为此, 此项研究提出多策略增强型灰狼-粒子群混合优化(Multi-strategies Enhanced Grey Wolf Optimization-Particle Swarm Optimization, MEGWO-PSO)算法, 用于二维平面阵稀布优化. 该算法采用“全局探索-局部精修”两阶段框架: 第1阶段以引入双阶S型衰减收敛因子及自适应交叉变异的增强型灰狼算法实现高效全局搜索, 避免早熟收敛; 第2阶段将优化后搜索空间作为初始输入, 通过改进粒子群算法进行局部精修. 以方位向与俯仰向切面PSLL之和为优化目标开展仿真, 结果表明: MEGWO-PSO可有效设计100单元中小规模阵列, PSLL较文献优化9.39 dB; 对256单元大型阵列, 考虑射电天线阵的关键性能参数, 其PSLL较灰狼、粒子群、遗传算法分别降低13.22 dB、21.32 dB、14.64 dB, 灵敏度分别提升10%、24.8%、25.6%; 且优化后阵列在不同扫描角下PSLL抑制更优, 较均匀阵、灰狼优化稀布阵最高可降低34.79 dB、15.63 dB. 此研究为满足射电望远镜大口径、高性能以及宽扫描的需求提供了一种技术手段和支撑.

     

    Abstract: The Peak Side Lobe Level (PSLL), sensitivity, and directivity of a radio antenna array directly determine the performance of a system in weak signal detection, anti-interference, and resolution capabilities. In applications spanning the High Frequency (HF) to Very High Frequency (VHF) bands, uniform arrays suffer from high sidelobes and grating lobes during wide-angle scanning, while traditional sparse array optimization algorithms are prone to premature convergence and local optima trapping. To address these issues, this study proposes a Multi-strategies Enhanced Grey Wolf Optimization-Particle Swarm Optimization (MEGWO-PSO) algorithm for the sparse layout optimization of two-dimensional planar arrays. The algorithm adopts a two-stage framework of global exploration and local refinement. In the first stage, an enhanced grey wolf algorithm integrated with a double-order S-shaped attenuation convergence factor, along with adaptive crossover and mutation operators, is employed to achieve efficient global search and avert premature convergence. In the second stage, the optimized search space derived from the first stage is used as the initial input, and local refinement is performed via an improved particle swarm optimization algorithm. Simulation results demonstrate that MEGWO-PSO can effectively optimize the layout of small-to-medium-sized arrays with up to 100 elements, reducing the PSLL by 9.39 dB compared with the results reported in relevant literature. For large-scale 256-element arrays, considering the key performance metrics of radio antenna arrays, the proposed method yields a PSLL that is 13.22 dB, 21.32 dB, and 14.64 dB lower than those of the standalone GWO, PSO, and GA (Genetic Algorithm) algorithms, respectively. Meanwhile, the array’s sensitivity is enhanced by 10%, 24.8%, and 25.6% relative to the three aforementioned algorithms. Furthermore, the optimized array exhibits superior PSLL suppression across different scanning angles, with reductions of 34.79 dB and 15.63 dB compared with uniform arrays and GWO-based sparse arrays, respectively. This work provides a viable technical approach and theoretical support for the development of radio telescopes with large apertures, high performance, and wide-angle scanning capabilities.

     

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