基于耦合约束满足的雷达抗干扰试验样本空间特征分析

doi:10.12305/j.issn.1001-506X.2025.07.07

Abstract

Abstract:

In order to address the challenges posed by multiple test factors, a large sample space, and high overall test cost in radar anti-jamming testing, the constraint satisfaction method is introduced to analyze the characteristics of the radar anti-jamming test sample space and reduce its limited size. A framework for analyzing the sample space of radar anti-interference tests is proposed. The analysis of the sample space is translated from electromagnetic field to mathematical field, and a coupling constraint satisfaction model is established. The graph theory coupled constraint solving algorithm based on the twin variable method and the arc compatibility algorithm are combined to solve the coupling constraints in the test sample space. The results indicate that the reduced space is approximately 76 760.76 times more compact than the original test sample space, addressing the challenging issue of sample set selection in subsequent test design and offering support for radar anti-jamming test design and evaluation.

Key words: anti-interference test, sample space, coupling constraint satisfaction problem, twin variable method, arc consistent

CLC Number:

TN974

Zhitao LONG, Zhijun CHENG, Chen FENG. Spatial characteristics analysis of radar anti-jamming test samples based on coupling constraint satisfaction[J]. Systems Engineering and Electronics, 2025, 47(7): 2136-2145.

Figures/Tables 13

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References 30

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因子名称	符号	取值范围	设计水平
无人机搜索方向/(°)	α	[0, 45], [315,360]	19
雷达开机距离/km	R_k	[10,20]	11
方位探测角度/(°)	γ	[10,90]	10
距离探测范围/km	L	[1.5, 5]	9
舰船运动方向/(°)	C_w	[60,360]	31
舰船速度/kn	V_w	[10,30]	31
箔条布放策略	s	1, 2, 3, 4, 5	5
箔条间距/m	D	[20,100]	20
箔条舵角/(°)	θ	[-35, 35]	71
箔条发射时机/s	t_fs	[-5, 5]	11
箔条飞行时长/s	T_f	[1,3]	3
箔条形成时长/s	T_d	[2,3]	10
箔条云发射距离/km	R₀	[1,3]	3
箔条的RCS/m²	RCS_c	[20,40]	21
风速/kn	V_f	[0, 10]	100
风向/(°)	θ_f	[60,360]	31
海流强度/(m/s)	c	[0.05, 3]	61
海浪高度/ft	h	[1,8]	80

序号	风速/kn	浪高/ft
1	< 7	1
2	7~12	1~3
3	12~16	3~5
4	16~19	5~8
5	-	-

因子名称	符号	取值范围
无人机导弹飞行速度/(m/s)	v_m	300
系统反应时间/s	t_yf	30
舰艇高度/m	H_w	0
重叠系数	J	1.2~1.4
雷达搜索角速度/(°/s)	ω_m	20
距离波门的搜索速度/kn	v	30
波浪周期/s	T	6~10
参数	a	2
参数	b	10
阻力系数	k	0.5
参数	k₁	60
参数	k₂	0.01
参数	k₃	0.03
反射系数	ρ₀	0.04
雷达信号的波长/m	λ	0.03
箔条在自由空间的RCS/m²	σ	20
舰船RCS/m²	RCS_boat	20
箔条理想状态RCS/m²	RCS_max	40

约束符号	公式	约束符号	公式
C0	(4)	C6	(6)
C1	(2)	C7	(11)
C2	(3)	C8	(5)
C3	(10)	C9	(12)(14)
C4	(9)	C10	(12)(13)
C5	(7)	K	表 2

模块	部分解	模块	部分解
1	[60, 110, 315]	3	[1, 1]
1	[60, 200, 335]	3	[1, 2,]
1	[70, 140, 335]	3	[-2, 3]
1	[340, 160, 20]	3	[-3, 4]
2	[2.2, 8, 1.3, 2.9]	4	[1, 10, 1.5, -5, 2, 10]
2	[2.6, -1, 1.4, 2.9]	4	[1, 17, 2.5, 0, 2, 90]
2	[2.8, 28, 0.7, 2.5]	4	[2, 16, 4.0, -5, 2, 30]
2	[3.0, 30, 0.8, 2.4]	4	[3, 18, 4.0, 5, 3, 60]

Spatial characteristics analysis of radar anti-jamming test samples based on coupling constraint satisfaction

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