## 留言板

 引用本文: 姚敏立, 王旭健, 张峰干, 戴定成. 基于动态参数差分进化算法的多约束稀布矩形面阵优化[J]. 电子与信息学报, 2020, 42(5): 1281-1287.
Minli YAO, Xujian WANG, Fenggan ZHANG, Dingcheng DAI. Synthesis of Sparse Rectangular Planar Arrays with Multiple Constraints Based on Dynamic Parameters Differential Evolution Algorithm[J]. Journal of Electronics and Information Technology, 2020, 42(5): 1281-1287. doi: 10.11999/JEIT190346
 Citation: Minli YAO, Xujian WANG, Fenggan ZHANG, Dingcheng DAI. Synthesis of Sparse Rectangular Planar Arrays with Multiple Constraints Based on Dynamic Parameters Differential Evolution Algorithm[J]. Journal of Electronics and Information Technology, 2020, 42(5): 1281-1287.

• 中图分类号: TN820

## Synthesis of Sparse Rectangular Planar Arrays with Multiple Constraints Based on Dynamic Parameters Differential Evolution Algorithm

• 摘要: 针对多约束条件下稀布矩形平面阵列天线的优化问题，该文提出一种基于动态参数差分进化(DPDE)算法的方向图综合方法。首先，对差分进化(DE)算法中的缩放因子和交叉概率引入动态变化控制策略，提高搜索效率和搜索精度。其次，改进矩阵映射方法，重新定义映射法则，改善现有方法随机性强和搜索精度低的不足。最后，为检验所提方法的有效性进行仿真实验，实验数据表明，该方法可以提高天线优化性能，有效降低天线的峰值旁瓣电平。
• 图  1  矩形面阵结构示意图

图  2  $\varphi = {0^{\rm{^\circ }}}$$\varphi = {90^{\rm{^\circ }}}$平面的方向图

图  3  实验1的PSLL实验结果

图  4  全平面远场方向图

图  5  实验2的PSLL实验结果

图  6  实验1阵元分布

图  7  实验2阵元分布

•  [1] OLIVERI G and MASSA A. Genetic algorithm (GA)-enhanced almost difference set (ADS)-based approach for array thinning[J]. IET Microwaves, Antennas & Propagation, 2011, 5(3): 305–315. [2] CHEN Kesong, CHEN Hui, WANG Ling, et al. Modified real GA for the synthesis of sparse planar circular arrays[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 15: 274–277. [3] BHATTACHARYA R, BHATTACHARYYA T K, and GARG R. Position mutated hierarchical particle swarm optimization and its application in synthesis of unequally spaced antenna arrays[J]. IEEE Transactions on Antennas and Propagation, 2012, 60(7): 3174–3181. [4] DAI Dingcheng, YAO Minli, MA Hongguang, et al. An effective approach for the synthesis of uniformly excited large linear sparse array[J]. IEEE Antennas and Wireless Propagation Letters, 2018, 17(3): 377–380. [5] BAI Yanying, XIAO Shaoqiu, LIU Changrong, et al. A hybrid IWO/PSO algorithm for pattern synthesis of conformal phased arrays[J]. IEEE Transactions on Antennas and Propagation, 2013, 61(4): 2328–2332. [6] SUN Geng, LIU Yanheng, CHEN Zhaoyu, et al. Radiation beam pattern synthesis of concentric circular antenna arrays using hybrid approach based on cuckoo search[J]. IEEE Transactions on Antennas and Propagation, 2018, 66(9): 4563–4576. [7] ZHANG Bo, LIU Wei, and GOU Xiaoming. Compressive sensing based sparse antenna array design for directional modulation[J]. IET Microwaves, Antennas & Propagation, 2017, 11(5): 634–641. [8] YAN Chuang, YANG Peng, XING Zhiyu, et al. Synthesis of planar sparse arrays with minimum spacing constraint[J]. IEEE Antennas and Wireless Propagation Letters, 2018, 17(6): 1095–1098. [9] GU Pengfei, WANG Gui, FAN Zhenhong, et al. Efficient unitary matrix pencil method for synthesising wideband frequency patterns of sparse linear arrays[J]. IET Microwaves, Antennas & Propagation, 2018, 12(12): 1871–1876. [10] LIN Zhiqiang, JIA Weimin, YAO Minli, et al. Synthesis of sparse linear arrays using vector mapping and simultaneous perturbation stochastic approximation[J]. IEEE Antennas and Wireless Propagation Letters, 2012, 11: 220–223. [11] 贾维敏, 林志强, 姚敏立, 等. 一种多约束稀布线阵的天线综合方法[J]. 电子学报, 2013, 41(5): 926–930. JIA Weimin, LIN Zhiqiang, YAO Minli, et al. A synthesis technique for linear sparse arrays with multiple constraints[J]. Acta Electronica Sinica, 2013, 41(5): 926–930. [12] 于波, 陈客松, 朱盼, 等. 稀布圆阵的降维优化方法[J]. 电子与信息学报, 2014, 36(2): 476–481. YU Bo, CHEN Kesong, ZHU Pan, et al. An optimum method of sparse concentric rings array based on dimensionality reduction[J]. Journal of Electronics &Information Technology, 2014, 36(2): 476–481. [13] CHEN Kesong, YUN Xiaohua, HE Zishu, et al. Synthesis of sparse planar arrays using modified real genetic algorithm[J]. IEEE Transactions on Antennas and Propagation, 2007, 55(4): 1067–1073. [14] LIU Heng, ZHAO Hongwei, LI Weimei, et al. Synthesis of sparse planar arrays using matrix mapping and differential evolution[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 15: 1905–1908. [15] DAI Dingcheng, YAO Minli, MA Hongguang, et al. An asymmetric mapping method for the synthesis of sparse planar arrays[J]. IEEE Antennas and Wireless Propagation Letters, 2018, 17(1): 70–73. [16] LI Xiangtao, WANG Jianan, and YIN Minghao. Enhancing the performance of cuckoo search algorithm using orthogonal learning method[J]. Neural Computing and Applications, 2014, 24(6): 1233–1247.
•  [1] 张海, 陈小龙, 张涛, 张财生.  基于MUSIC算法的二次雷达应答信号分离方法, 电子与信息学报. doi: 10.11999/JEIT190842 [2] 陈志坤, 杜康, 彭冬亮, 朱新挺.  基于混合三角变异差分进化算法的平面稀疏阵列约束优化, 电子与信息学报. doi: 10.11999/JEIT190705 [3] 刘涛, 曹祥玉, 高军, 兰俊祥, 丛丽丽.  宽带低RCS超表面天线阵设计, 电子与信息学报. doi: 10.11999/JEIT180922 [4] 仇永斌, 黄显林, 张树春, 姜巍.  平面阵列方向图优化的改进PSO算法, 电子与信息学报. doi: 10.11999/JEIT170167 [5] 郑占旗, 阎跃鹏, 张立军, 王宇灏, 张金玲, 慕福奇.  增加副瓣抑制机制的阵列天线波束赋形遗传算法研究, 电子与信息学报. doi: 10.11999/JEIT160466 [6] 李龙军, 王布宏, 夏春和.  基于改进迭代FFT算法的均匀线阵交错稀疏布阵方法, 电子与信息学报. doi: 10.11999/JEIT 150749 [7] 丁振宇, 谭维贤, 王彦平, 洪文, 吴一戎.  平台运动测量误差对阵列天线合成孔径雷达三维成像影响分析, 电子与信息学报. doi: 10.11999/JEIT141106 [8] 龚树凤, 贲德, 潘明海, 龙伟军.  考虑互耦修正的机会阵雷达波束方向图综合优化, 电子与信息学报. doi: 10.3724/SP.J.1146.2013.00108 [9] 袁自月, 牛一鸣, 杨国, 吴文.  一种阵列天线阵元幅相、位置误差校正方法, 电子与信息学报. doi: 10.3724/SP.J.1146.2013.01807 [10] 徐艳红, 史小卫, 许京伟, 李平.  基于响应矢量优化的共形阵列稳健波束形成方法, 电子与信息学报. doi: 10.3724/SP.J.1146.2013.01670 [11] 赵晓晖, 李晓燕.  认知无线电中基于阵列天线和协方差矩阵的频谱感知算法, 电子与信息学报. doi: 10.3724/SP.J.1146.2013.01057 [12] 杨硕, 赵保军, 毛二可, 唐林波.  基于PM扩散的红外焦平面阵列神经网络非均匀校正算法, 电子与信息学报. doi: 10.3724/SP.J.1146.2012.01051 [13] 王晓飞, 陈岳兵, 张希, 张权, 唐朝京.  基于免疫克隆选择的认知无线网络频谱分配研究, 电子与信息学报. doi: 10.3724/SP.J.1146.2010.01127 [14] 孙慧峰, 石力, 邓云凯.  一种改进的星载SAR波束优化算法, 电子与信息学报. doi: 10.3724/SP.J.1146.2010.00666 [15] 石力, 邓云凯.  基于自适应遗传算法的星载SAR天线方向图与模糊综合, 电子与信息学报. doi: 10.3724/SP.J.1146.2011.00375 [16] 齐飞林, 刘峥, 杨雪亚, 张守宏.  毫米波共形相控阵雷达导引头的阵列稀布优化, 电子与信息学报. doi: 10.3724/SP.J.1146.2008.01798 [17] 齐子森, 郭英, 王布宏, 龚成.  共形阵列天线MUSIC算法性能分析, 电子与信息学报. doi: 10.3724/SP.J.1146.2007.00690 [18] 程永强, 秦玉亮, 王宏强, 黎湘.  面向ATR的平面隙缝阵列天线电磁散射特性研究, 电子与信息学报. doi: 10.3724/SP.J.1146.2007.00418 [19] 刘源, 邓维波, 许荣庆.  应用遗传算法进行阵列天线综合, 电子与信息学报. [20] 张子敬, 赵永波, 焦李成.  阵列天线的遗传优化, 电子与信息学报.
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##### 出版历程
• 收稿日期:  2019-05-16
• 修回日期:  2019-09-06
• 网络出版日期:  2020-01-31
• 刊出日期:  2020-05-01

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