基于多目标粒子群算法的稀布直线阵优化

    Optimization of Sparse Linear Arrays Based on the Algorithm of Multiple Objective Particle Swarm

    • 摘要: 针对稀布直线阵列(SLA)天线的多目标优化问题,提出了一种基于密度锥削与多目标粒子群优化(MOPSO)相结合的协同优化方案。首先,把SLA天线在其口径范围内划分为两个区域:与口径中心相邻且单元间隔等于半波长的满阵区域、远离口径中心的稀布区域;然后,利用MOPSO算法对稀布区域的单元位置进行优化,确保该区域的单元分布始终保持密度锥削分布,且单元间隔均大于半波长,从而有效避开了不可行解,利于算法的快速寻优;最后,结合两种优化目标函数,针对不同口径SLA天线进行了数值仿真。仿真结果表明:相比现有的几类算法,所提算法能够在较短时间内,把旁瓣抑制的水平提升约0.11 dB~5.72 dB,波束宽度最多下降0.160°,并且还能在不明显抬升旁瓣电平的情况下,有效地降低指定零陷区的电平值。

       

      Abstract: Aiming at the multi-objective optimization problem of sparse linear arrays (SLA) antenna, a collaborative optimization scheme based on density tapering and multiple objective particle swarm optimization (MOPSO) is proposed. Firstly, the SLA antenna is divided into two zones within its aperture range: a full array zone adjacent to the aperture center with the element spacing equal to half a wavelength, and a sparse array zone far from the center. Then, the MOPSO algorithm is utilized to optimize the element positions in the spare zone, ensuring that the element distribution in this zone always maintains density tapering distribution and the element intervals are all greater than half a wavelength. Consequently, the infeasible solutions are effectively avoided to facilitate the rapid optimization of the algorithm. Finally, combining two optimization objective functions, numerical simulations are conducted for SLA antennas with different apertures. The simulation results show that compared with several existing methods, the proposed algorithm can improve the level of sidelobe suppression by about 0.11 dB~5.72 dB and reduce the beam width by 0.160° at most in a short period of time. Moreover, it can effectively reduce the level of the designated null trap zone without obviously raising the sidelobe level.

       

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