基于三元组天线的多点源空间布阵方法

doi:10.12305/j.issn.1001-506X.2025.11.07

系统工程与电子技术 ›› 2025, Vol. 47 ›› Issue (11): 3574-3585.doi: 10.12305/j.issn.1001-506X.2025.11.07

• 传感器与信号处理 • 上一篇

基于三元组天线的多点源空间布阵方法

蔡志豪(), 邢世其(), 苏薪元, 汪俊澎, 孟维泽, 王浩

国防科技大学电子信息系统复杂电磁环境效应国家重点实验室，湖南长沙 410073

收稿日期:2025-03-21 接受日期:2025-07-01 出版日期:2025-11-25 发布日期:2025-12-08
通讯作者: 邢世其 E-mail:cai_zhihao23@nudt.edu.cn;xingshiqi1983@126.com
作者简介:蔡志豪（2000—），男，硕士研究生，主要研究方向为智能电子对抗
苏薪元（2002—），女，硕士研究生，主要研究方向为智能电子对抗
汪俊澎（1998—），男，博士研究生，主要研究方向为合成孔径雷达信号处理与对抗
孟维泽（1999—），男，博士研究生，主要研究方向为智能电子对抗
王　浩（2001—），男，硕士研究生，主要研究方向为智能电子对抗
基金资助:
国家自然科学基金（62471471）资助课题

Multi-point source spatial arraying method based on triplet antenna

Zhihao CAI(), Shiqi XING(), Xinyuan SU, Junpeng WANG, Weize MENG, Hao WANG

State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System，National University of Defense Technology，Changsha 410073，China

Received:2025-03-21 Accepted:2025-07-01 Online:2025-11-25 Published:2025-12-08
Contact: Shiqi XING E-mail:cai_zhihao23@nudt.edu.cn;xingshiqi1983@126.com

摘要/Abstract

摘要：

为实现高效干扰，针对多点源干扰系统的性能依赖于干扰源空间布局的问题，基于推导的任意三角形三元组天线等效辐射中心分布规律，分别对全向和非全向情况构建布阵模型，提出一种基于黄金映射策略的鲸鱼优化算法（golden mapping strategy whale optimization algorithm，GWOA）对模型进行优化求解。仿真实验表明，全向情况下正三角形布阵方式能够最大化等效辐射中心的分布区域；非全向情况下，通过控制两根天线相位差恒定，等腰直角三角形布阵方式可在约束角度范围内实现等效辐射中心分布区域的最大化。与5种经典算法相比，GWOA在收敛速度上平均提升了36.26%，稳定性平均提升了79.55%。仿真结果表明，所提算法显著优于对比算法。

关键词: 三元组天线, 空间布阵模型, 鲸鱼优化算法, 黄金映射策略

Abstract:

In order to achieve efficient interference, in response to the issue that the performance of the multi-point source interference system depends on the spatial layout of the interference source, based on the derived distribution law of the equivalent radiation center of any triangular triplet antenna, the array model is constructed for omnidirectional and non-omnidirectional situations respectively, and a golden mapping strategy whale optimization algorithm （GWOA） is proposed to optimize and solve the model. The simulation experiments show that the equilateral triangle array can maximize the distribution area of the equivalent radiation center in the omnidirectional case. In the non-omnidirectional case, by controlling the constant phase difference between the two antennas, the isosceles right-angle triangular array can maximize the distribution area of the equivalent radiation center within the constraint angle range. Compared with the five classical algorithms, GWOA has an average increase of 36.26 % in convergence speed and an average increase of 79.55 % in stability. The simulation results indicate that the proposed algorithm is significantly better than the comparison algorithms.

Key words: triplet antenna, spatial arraying model, whale optimization algorithm （WOA）, gold mapping strategy

中图分类号:

TN 975

蔡志豪, 邢世其, 苏薪元, 汪俊澎, 孟维泽, 王浩. 基于三元组天线的多点源空间布阵方法[J]. 系统工程与电子技术, 2025, 47(11): 3574-3585.

Zhihao CAI, Shiqi XING, Xinyuan SU, Junpeng WANG, Weize MENG, Hao WANG. Multi-point source spatial arraying method based on triplet antenna[J]. Systems Engineering and Electronics, 2025, 47(11): 3574-3585.

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参数	数值	参数	数值
最大基线长度/km	0.2	最大约束角度/（°）	90
算法的种群规模	50	最大迭代次数	200

指标	PSO	GA	MFHHO	CSSOA	WOA	GWOA	平均提升/%
平均值	10.39221	10.39021	10.39211	10.39222	10.39171	10.39229	0.01
标准差	1.43e-05	1.78e-04	2.29e-05	1.19e-05	2.86e-05	3.57e-06	82.99
最大值	10.39225	10.39079	10.39225	10.39226	10.39176	10.39230	0.01
收敛轮次	19	23	16	15	17	10	43.18
平均运行时间/s	0.12072	0.18741	0.07542	0.05791	0.07842	0.04912	44.10
运行时间误差/s	0.01042	0.01242	0.00642	0.00591	0.00602	0.00521	30.44

指标	PSO	GA	MFHHO	CSSOA	WOA	GWOA	平均提升/%
平均值	1.73190	1.73175	1.73185	1.73195	1.73180	1.73204	0.01
标准差	2.14e-05	1.78e-05	3.66e-05	1.07e-05	3.87e-05	3.65e-06	81.78
最大值	1.73196	1.73180	1.73195	1.73198	1.73190	1.73205	0.01
收敛轮次	17	19	16	15	13	10	36.49
平均运行时间/s	0.13407	0.15974	0.06532	0.06011	0.06840	0.05305	36.04
运行时间误差/s	0.01140	0.01190	0.00649	0.00635	0.00653	0.00616	21.59

指标	PSO	GA	MFHHO	CSSOA	WOA	GWOA	平均提升/%
平均值	1.99989	1.99939	1.99987	1.99990	1.99989	1.99999	0.01
标准差	1.89e-05	2.52e-05	2.23e-05	1.03e-05	1.08e-05	3.72e-06	75.66
最大值	1.99994	1.99946	1.99992	1.99993	1.99992	2.00000	0.01
收敛轮次	17	24	15	14	12	10	35.62
平均运行时间/s	0.16367	0.18021	0.05944	0.05586	0.06581	0.04852	40.24
运行时间误差/s	0.01040	0.01120	0.00633	0.00592	0.00653	0.00516	31.32

指标	PSO	GA	MFHHO	CSSOA	WOA	GWOA	平均提升/%
平均值	1.73199	1.73175	1.73195	1.73196	1.73195	1.73204	0.01
标准差	1.53e-05	4.33e-05	1.44e-05	1.23e-05	1.49e-05	3.63e-06	77.76
最大值	1.73203	1.73187	1.73200	1.73201	1.73199	1.73205	0.01
收敛轮次	17	22	15	14	13	11	29.75
平均运行时间/s	0.17621	0.19273	0.06886	0.06642	0.07211	0.05822	36.76
运行时间误差/s	0.01124	0.01182	0.006912	0.00632	0.00713	0.00568	29.94

基于三元组天线的多点源空间布阵方法

Multi-point source spatial arraying method based on triplet antenna

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