Li Jianhui, Liu Yan, Zhao Wanru, Zhu Tianning, Chen Zhuo, Liu Anyong, Wang Yibo
School of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, China.
Sensors (Basel). 2025 Jan 31;25(3):861. doi: 10.3390/s25030861.
With the rapid development of radio technology and its widespread application in the military field, the electromagnetic environment in which radar communication operates is becoming increasingly complex. Among them, human radio interference makes radar countermeasures increasingly fierce. This requires radar systems to have strong capabilities in resisting electronic interference, anti-radiation missiles, and radar detection. However, array antennas are one of the effective means to solve these problems. In recent years, array antennas have been extensively utilized in various fields, including radar, sonar, and wireless communication. Many evolutionary algorithms have been employed to optimize the size and phase of array elements, as well as adjust the spacing between them, to achieve the desired antenna pattern. The main objective is to enhance useful signals while suppressing interference signals. In this paper, we introduce the dandelion optimization (DO) algorithm, a newly developed swarm intelligence optimization algorithm that simulates the growth and reproduction of natural dandelions. To address the issues of low precision and slow convergence of the DO algorithm, we propose an improved version called the chaos exchange nonlinear dandelion optimization (CENDO) algorithm. The CENDO algorithm aims to optimize the spacing of antenna array elements in order to achieve a low sidelobe level (SLL) and deep nulls antenna pattern. In order to test the performance of the CENDO algorithm in solving the problem of comprehensive optimization of non-equidistant antenna array patterns, five experimental simulation examples are conducted. In Experiment Simulation Example 1, Experiment Simulation Example 2, and Experiment Simulation Example 3, the optimization objective is to reduce the SLL of non-equidistant arrays. The CENDO algorithm is compared with DO, particle swarm optimization (PSO), the quadratic penalty function method (QPM), based on hybrid particle swarm optimization and the gravity search algorithm (PSOGSA), the whale optimization algorithm (WOA), the grasshopper optimization algorithm (GOA), the sparrow search algorithm (SSA), the multi-objective sparrow search optimization algorithm (MSSA), the runner-root algorithm (RRA), and the cat swarm optimization (CSO) algorithms. In the three examples above, the SLLs obtained using the CENDO algorithm optimization are all the lowest. The above three examples all demonstrate that the improved CENDO algorithm performs better in reducing the SLL of non-equidistant antenna arrays. In Experiment Simulation Example 4 and In Experiment Simulation Example 5, the optimization objective is to reduce the SLL of a non-uniform array and generate some deep nulls in a specified direction. The CENDO algorithm is compared with the DO algorithm, PSO algorithm, CSO algorithm, pelican optimization algorithm (POA), and grey wolf optimizer (GWO) algorithm. In the two examples above, optimizing the antenna array using the CENDO algorithm not only results in the lowest SLL but also in the deepest zeros. The above examples both demonstrate that the improved CENDO algorithm has better optimization performance in simultaneously reducing the SLL of non-equidistant antenna arrays and reducing the null depth problem. In summary, the simulation results of five experiments show that the CENDO algorithm has better optimization ability in the comprehensive optimization problem of non-equidistant antenna array patterns than all the algorithms compared above. Therefore, it can be regarded as a strong candidate to solve problems in the field of electromagnetism.
随着无线电技术的飞速发展及其在军事领域的广泛应用,雷达通信所处的电磁环境日益复杂。其中,人为无线电干扰使得雷达对抗愈发激烈。这就要求雷达系统具备强大的抗电子干扰、抗辐射导弹及雷达探测能力。而阵列天线是解决这些问题的有效手段之一。近年来,阵列天线已在包括雷达、声纳和无线通信等各个领域得到广泛应用。许多进化算法被用于优化阵列单元的尺寸和相位,以及调整它们之间的间距,以实现所需的天线方向图。主要目的是增强有用信号,同时抑制干扰信号。在本文中,我们介绍了蒲公英优化(DO)算法,这是一种新开发的群体智能优化算法,它模拟了自然蒲公英的生长和繁殖过程。为了解决DO算法精度低和收敛慢的问题,我们提出了一种改进版本,称为混沌交换非线性蒲公英优化(CENDO)算法。CENDO算法旨在优化天线阵列单元的间距,以实现低旁瓣电平(SLL)和深零值的天线方向图。为了测试CENDO算法在解决非等距天线阵列方向图综合优化问题方面的性能,进行了五个实验仿真示例。在实验仿真示例1、实验仿真示例2和实验仿真示例3中,优化目标是降低非等距阵列的SLL。将CENDO算法与DO算法、粒子群优化(PSO)算法、二次罚函数法(QPM)、基于混合粒子群优化和引力搜索算法(PSOGSA)、鲸鱼优化算法(WOA)、蚱蜢优化算法(GOA)、麻雀搜索算法(SSA)、多目标麻雀搜索优化算法(MSSA)、奔跑根算法(RRA)以及猫群优化(CSO)算法进行比较。在上述三个示例中,使用CENDO算法优化得到的SLL均为最低。上述三个示例均表明,改进后的CENDO算法在降低非等距天线阵列的SLL方面表现更好。在实验仿真示例4和实验仿真示例5中,优化目标是降低非均匀阵列的SLL,并在指定方向产生一些深零值。将CENDO算法与DO算法、PSO算法、CSO算法、鹈鹕优化算法(POA)以及灰狼优化器(GWO)算法进行比较。在上述两个示例中,使用CENDO算法优化天线阵列不仅能得到最低的SLL,还能得到最深的零值。上述示例均表明,改进后的CENDO算法在同时降低非等距天线阵列的SLL和减少零值深度问题方面具有更好的优化性能。综上所述,五个实验的仿真结果表明,CENDO算法在非等距天线阵列方向图的综合优化问题上比上述所有比较算法具有更好的优化能力。因此,它可被视为解决电磁领域问题的有力候选算法。