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

Abstract

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

CLC Number:

TN 975

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.

Figures/Tables 32

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References 31

1	席昕, 刘高高, 刘强, 等. 对旁瓣相消的分布式干扰优化布阵方法[J]. 系统工程与电子技术, 2024, 46 (8): 2623- 2628.
	XI X, LIU G G, LIU Q, et al. Distributed jamming optimal array method for sidelobe cancellation[J]. Systems Engineering and Electronics, 2024, 46 (8): 2623- 2628.
2	唐军奎, 刘峥, 谢荣, 等. MIMO雷达稀疏阵列优化设计方法[J]. 系统工程与电子技术, 2022, 44 (12): 3661- 3666. doi: 10.12305/j.issn.1001-506X.2022.12.09
	TANG J K, LIU Z, XIE R, et al. Optimal design method for sparse array of MIMO radar[J]. Systems Engineering and Electronics, 2022, 44 (12): 3661- 3666. doi: 10.12305/j.issn.1001-506X.2022.12.09
3	付小川, 谢菊兰, 何子述. 基于二重帕累托理论的共形极化阵同时发射多波束动态组阵[J]. 电波科学学报, 2024, 39 (3): 465- 483. doi: 10.12265/j.cjors.2023209
	FU X C, XIE J L, HE Z S. Conformal polarization array with the simultaneous transmitting of multi-beam array optimization based on double Pareto theory[J]. Chinese Journal of Radio Science, 2024, 39 (3): 465- 483. doi: 10.12265/j.cjors.2023209
4	赵梓桐, 谢军, 陈丽. 基于改进PSO的分布式信号合成功率分配方法[J]. 计算机测量与控制, 2025, 33 (1): 121- 130.
	ZHAO Z T, XIE J, CHEN L. Synthesis power allocation method for distributed signals based on improved PSO[J]. Computer Measurement and Control, 2025, 33 (1): 121- 130.
5	CHEN J Y, XU Z H, XIAO S P. Optimal subarray design method for sidelobe cancellation of wideband irregular subarrayed array[J]. IEEE Antennas and Wireless Propagation Letters, 2023, 22 (12): 2793- 2797. doi: 10.1109/LAWP.2023.3297799
6	HAN B W, QU X D, YANG X P, et al. Mainlobe jamming suppression method based on combination of spatial and polarization domain for distributed array radar[C]// Proc. of the CIE International Conference on Radar, 2021: 1954−1958.
7	LEE J H, JO J, RYU H, et al. Experimental approach to estimate cross-eye gain for a nonretrodirective cross-eye jamming system[J]. IEEE Antennas and Wireless Propagation Letters, 2022, 6 (21): 1120- 1123.
8	LIU T P, WEI X Z, PENG B, et al. Tolerance analysis of multiple-element linear retrodirective cross-eye jamming[J]. Journal of Systems Engineering and Electronics, 2020, 31 (3): 460- 469. doi: 10.23919/JSEE.2020.000028
9	刘天鹏, 魏玺章, 刘振, 等. 交叉眼干扰研究综述[J]. 雷达学报, 2019, 8 (1): 140- 153. doi: 10.12000/JR19013
	LIU T P, WEI X Z, LIU Z, et al. Overview of cross-eye jamming research[J]. Journal of Radars, 2019, 8 (1): 140- 153. doi: 10.12000/JR19013
10	李栋, 孟进, 刘永才, 等. 交叉眼技术对主被动复合单脉冲雷达测角的干扰效果分析[J]. 雷达学报, 2022, 11 (4): 705- 712. doi: 10.12000/JR22048
	LI D, MENG J, LIU Y C, et al. Effect of cross-eye jamming on the active-passive composite monopulse radar[J]. Journal of Radars, 2022, 11 (4): 705- 712. doi: 10.12000/JR22048
11	周亮, 孟进, 刘永才, 等. 基于非脉冲矢量网络分析仪的非反向交叉眼干扰实验设计与分析[J]. 系统工程与电子技术, 2024, 46 (1): 62- 70.
	ZHOU L, MENG J, LIU Y C, et al. Design and analysis of non-retrodirective cross-eye experiment base on non-pulse vector network analyzer[J]. Systems Engineering and Electronics, 2024, 46 (1): 62- 70.
12	LIU S Y, DONG C X, XU J, et al. Analysis of rotating cross-eye jamming[J]. IEEE Antennas and Wireless Propagation Letters, 2015, 14, 939- 942. doi: 10.1109/LAWP.2014.2387423
13	PLESSIS W D. Path-length compensation in multiloop retrodirective ross-eye jamming[J]. IEEE Trans. on Aerospace and Electronic Systems, 2019, 55 (1): 397- 406. doi: 10.1109/TAES.2018.2852378
14	PLESSIS W D. Cross-eye gain in multiloop retrodirective cross-eye jamming[J]. IEEE Trans. on Aerospace and Electronic Systems, 2016, 52 (2): 875- 882. doi: 10.1109/TAES.2016.140112
15	CHEN Z Q, NING Y H, YU M X, et al. Experimental study on multiantenna interference technology[J]. IEEE Trans. on Aerospace and Electronic Systems, 2023, 59 (6): 7878- 7889. doi: 10.1109/TAES.2023.3297088
16	赵忠凯, 李泽, 孙恒. 相干多点源干扰研究综述[J]. 电子信息对抗技术, 2021, 36 (6): 1- 7，83.
	ZHAO Z K, LI Z, SUN H. Overview on coherent multi-source jamming[J]. Electronic Information Warfare Technology, 2021, 36 (6): 1- 7，83.
17	周亮, 刘永才, 孟进, 等. 两源交叉眼与多源线阵交叉眼的干扰性能分析[J]. 电子学报, 2021, 49 (12): 2289- 2298. doi: 10.12263/DZXB.20200898
	ZHOU L, LIU Y C, MENG J, et al. Interference performance analysis of two source retro-directive cross-eye jamming and multi-source linear array retro-directive cross-eye jamming[J]. Acta Electronica Sinica, 2021, 49 (12): 2289- 2298. doi: 10.12263/DZXB.20200898
18	刘芳, 陈嘉贝, 吕欢, 等. 新构型下多环路反向交叉眼干扰分析[J]. 电波科学学报, 2020, 35 (4): 603- 613.
	LIU F, CHEN J B, LYU H, et al. Analysis of multi-loop reverse cross-eye jamming in new configuration[J]. Chinese Journal of Radio Science, 2020, 35 (4): 603- 613.
19	刘伟, 孟进, 周亮, 等. 矩形阵反向交叉眼干扰建模[J]. 系统工程与电子技术, 2019, 41 (11): 2453- 2459.
	LIU W, MENG J, ZHOU L, et al. Interference modeling of rectangular array retrodirective cross-eye method[J]. Systems Engineering and Electronics, 2019, 41 (11): 2453- 2459.
20	余忠卿. 无人机平台多元矢量辐射源建模及空间电磁场分析[D]. 成都: 电子科技大学, 2019.
	YU Z Q. Modeling and spatial electro-magnetic field analysis of multivariate vector radiation source based on UAV platform[D]. Chengdu: University of Electronic Science and Technology of China, 2019.
21	石明磊. 新型假目标电磁干扰机理研究[D]. 成都: 电子科技大学, 2020.
	SHI M L. Research on mechanism of novel false target electromagnetic jamming[D]. Chengdu: University of Electronic Science and Technology of China, 2020.
22	杨剑. 多天线矢量合成假目标方法研究[D]. 成都: 电子科技大学, 2021.
	YANG J. Research on multiple antennae vector synthetic false target method[J]. Chengdu: University of Electronic Science and Technology of China, 2021.
23	陈嘉贝, 王青平, 叶源, 等. 基于NSGA-II的波前相位畸变特性分析[J]. 系统工程与电子技术, 2022, 44 (5): 1439- 1446. doi: 10.12305/j.issn.1001-506X.2022.05.02
	CHEN J B, WANG Q P, YE Y, et al. Analysis on wave-front phase distortion characteristics based on NSGA-II[J]. Systems Engineering and Electronics, 2022, 44 (5): 1439- 1446. doi: 10.12305/j.issn.1001-506X.2022.05.02
24	NING Y H, YU M X. Performance analysis of multiple antennas synthetic false target jamming[J]. IEEE Access, 2022, 10, 16178- 16187. doi: 10.1109/ACCESS.2022.3144979
25	SUI R, WANG J J, SUN G, et al. A dual-polarimetric high range resolution profile modulation method based on time-modulated APCM[J]. IEEE Trans. on Antennas and Propagation, 2025, 73 (2): 1007- 1017. doi: 10.1109/TAP.2025.3526901
26	张佳. 多元矢量合成干扰控制算法研究[D]. 成都: 电子科技大学, 2023.
	ZHANG J. Research on multi-vector synthesis interference control algorithm[D]. Chengdu: University of Electronic Science and Technology of China, 2023.
27	ZHENG Y Q, YOU C J, ZHANG N B, et al. Wide-angle scanning thinned phased array synthesis based on improved multiobjective beluga whale optimization algorithm[J]. IEEE Antennas and Wireless Propagation Letters, 2024, 23 (11): 3511- 3515. doi: 10.1109/LAWP.2024.3416174
28	LAI Q, YANG L, CHEN G R. Two-dimensional discrete memristive oscillatory hyperchaotic maps with diverse dynamics[J]. IEEE Trans. on Industrial Electronics, 2025, 72 (1): 969- 979. doi: 10.1109/TIE.2024.3417974
29	XIE J H, HUANG S C, WEI D Z, et al. Scheduling of multi-sensor for UAV cluster based on harris hawks optimization with an adaptive golden sine search mechanism[J]. IEEE Sensors Journal, 2022, 22 (10): 9621- 9635. doi: 10.1109/JSEN.2022.3164018
30	TANYILDIZI E, DEMIR G. Golden sine algorithm: a novel math-inspired algorithm[J]. Advances in Electrical and Computer Engineering, 2017, 17 (2): 71- 78. doi: 10.4316/AECE.2017.02010
31	WANG J P, QUAN S N, XING S Q, et al. PSO-based fine polarimetric decomposition for ship scattering characterization[J]. ISPRS Journal of Photogrammetry and Remote Sensing, 2025, 220, 18- 31. doi: 10.1016/j.isprsjprs.2024.11.015

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

Multi-point source spatial arraying method based on triplet antenna

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