单发多收协同雷达低截获概率探测的接收机队列设计

doi:10.12305/j.issn.1001-506X.2025.07.11

摘要/Abstract

摘要：

为了优化单发多收协同雷达(single-transmitter multi-receiver cooperative radar, SMCR)探测系统的低截获概率(low probability of interception, LPI)，利用SMCR目标探测的截获因子构造优化目标函数。首先，在二维平面上描述SMCR目标探测场景，分析探测区域内接收机队列的接收增益及其近似估计方法。然后，针对目标位置先验已知情况，建立SMCR系统的接收机队列优化模型，分析模型解集。最后，针对目标搜索区域先验已知情况，从多个维度仿真分析接收机队列的LPI特性。仿真结果表明，针对目标位置或目标搜索区域先验已知的SMCR探测场景，接收机队列的队形设计有利于改善系统的LPI性能。针对目标位置已知的实测数据定性说明了所提方法仿真结果的合理性。

关键词: 雷达, 协同探测, 低截获概率

Abstract:

To optimize the low probability of interception(LPI) of the single-transmitter multi-receiver cooperative radar (SMCR) detection system, the optimization objective function with the interception factor is established through target detection equation of the SMCR. Firstly, the target detection scenario of the SMCR on a two-dimensional plane is illustrated, and the receiving gain and its approximate estimation method of the receivers formation is analyzed in the detection area of the SMCR. Then, according to the prior knowledge of the target location, the receivers formation optimization model of SMCR system is established, and its solution set is analyzed. Finally, aiming at the prior knowledge of the target search area, the LPI property of SMCR is analyzed by simulating the receivers formation from several different aspects. Simulation results show that for SMCR detection scenarios where the target position or target search area is known as priori, the design of the receivers formation is beneficial for improving the LPI performance of the system. Known measured data of the target location qualitatively demonstrate the rationality of the simulation results of the proposed method.

Key words: radar, cooperative detection, low probability of interception (LPI)

中图分类号:

TN966

田晨, 管洋阳, 戴春亮, 毛宇. 单发多收协同雷达低截获概率探测的接收机队列设计[J]. 系统工程与电子技术, 2025, 47(7): 2176-2184.

Chen TIAN, Yangyang GUAN, Chunliang DAI, Yu MAO. LPI based line formation design of multiple receivers for single-transmitter multiple-receiver cooperative radar system[J]. Systems Engineering and Electronics, 2025, 47(7): 2176-2184.

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参考文献 32

1	LI X , ZHANG T , YI W , et al. Radar selection based on the measurement information and the measurement compensation for target tracking in radar network[J]. IEEE Sensors Journal, 2019, 19 (18): 7923- 7935.
2	ZHANG H W , XIE J W , GE J A , et al. Finite sensor selection algorithm in distributed MIMO radar for joint target tracking and detection[J]. Journal of Systems Engineering and Electronics, 2020, 31 (2): 290- 302.
3	SUN H , LI M , ZUO L , et al. Joint threshold optimization and power allocation of cognitive radar network for target tracking in clutter[J]. Signal Processing, 2020, 172, 107566.
4	LAN H , SUN S , WANG Z F , et al. Joint target detection and tracking in multipath environment: a variational Bayesian approach[J]. IEEE Trans.on Aerospace and Electronic Systems, 2019, 56 (3): 2136- 2156.
5	LI Z , SU H , LI X Y , et al. Joint multitarget detection and tracking in multipath environment using expectation maximization algorithm[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021, 14, 10336- 10347.
6	SUN J , YI W , VARSHNEY P K , et al. Resource scheduling for multi-target tracking in multi-radar systems with imperfect detection[J]. IEEE Trans.on Signal Processing, 2022, 70, 3878- 3893.
7	ZHANG H W , LIU W J , SHI J P , et al. Joint detection threshold optimization and illumination time allocation strategy for cognitive tracking in a networked radar system[J]. IEEE Trans.on Signal Processing, 2022, 70, 5833- 5847.
8	ZHANG H W , YAN J K , LIU W J , et al. Array scheduling with power and bandwidth allocation for simultaneous multibeam tracking low-angle targets in a VHF- MIMO radar[J]. IEEE Trans.on Aerospace and Electronic Systems, 2023, 59, 5714- 5730.
9	YAN B , PAOLINI E , XU L , et al. A target detection and tracking method for multiple radar systems[J]. IEEE Trans.on Geoscience and Remote Sensing, 2022, 60, 5114721.
10	CHRISTIANSEN J M, OLSEN K E, SMITH G E. Fully adaptive radar for track update-interval control[C]//Proc.of the Radar Conference, 2018: 400-404.
11	BOGDANOVIC N , DRIESSEN H , YAROVOY A G . Target selection for tracking in multifunction radar networks: Nash and correlated equilibria[J]. IEEE Trans.on Aerospace and Electronic Systems, 2018, 54 (5): 2448- 2462.
12	SHI C G , DING L T , WANG F , et al. Low probability of intercept-based collaborative power and bandwidth allocation strategy for multi-target tracking in distributed radar network system[J]. IEEE Sensors Journal, 2020, 20 (12): 6367- 6377.
13	GHOREISHIAN M J , HOSSEINI A S M , PARVARI F . Power allocation in MIMO radars based on LPI optimisation and detection performance fulfilment[J]. IET Radar, Sonar & Navigation, 2020, 14 (6): 822- 832.
14	时晨光, 丁琳涛, 汪飞, 等. 面向射频隐身的组网雷达多目标跟踪下射频辐射资源优化分配算法[J]. 电子与信息学报, 2021, 43 (3): 539- 546.
	SHI C G , DING L T , WANG F , et al. Optimal allocation algorithm of RF radiation resources under multi-target tracking of networked radar for RF stealth[J]. Journal of Electronics and Information Technology, 2021, 43 (3): 539- 546.
15	SHI Y C , JIU B , YAN J K , et al. Data-driven radar selection and power allocation method for target tracking in multiple radar system[J]. IEEE Sensors Journal, 2021, 21 (17): 19296- 19306.
16	ZHANG W W , SHI C G , ZHOU J J . Power minimization-based joint resource allocation algorithm for target localization in noncoherent distributed MIMO radar system[J]. IEEE Systems Journal, 2021, 16 (2): 2183- 2194.
17	LU X J, XU Z C, REN H W, et al. LPI-based resource allocation strategy for target tracking in the moving airborne radar network[C]//Proc.of the IEEE Radar Conference, 2022.
18	SU Y , CHENG T , HE Z S . Joint resource and detection threshold optimization for maneuvering targets tracking in colocated MIMO radar network[J]. IEEE Trans.on Aerospace and Electronic Systems, 2023, 59 (5): 5900- 5914.
19	FU S Y , ZHAI Y W , ZHOU H , et al. Demonstration of free-space one-to-many multicasting link from orbital angular momentum encoding[J]. Optics Letters, 2019, 44 (19): 4753- 4756.
20	朱荣强, 周剑雄, 付强. 近场单发多收合成孔径雷达成像的频域算法[J]. 系统工程与电子技术, 2018, 40 (4): 756- 761. doi: 10.3969/j.issn.1001-506X.2018.04.07
	ZHU R Q , ZHOU J X , FU Q . Frequency domain algorithm for near-field single-transmitter multiple-receiver synthetic aperture radar imaging[J]. Systems Engineering and Electronics, 2018, 40 (4): 756- 761. doi: 10.3969/j.issn.1001-506X.2018.04.07
21	杜永兴, 仝宗俊, 秦岭, 等. 基于改进BP算法的电磁涡旋成像方法[J]. 雷达科学与技术, 2020, 18 (5): 539- 545.
	DU Y X , TONG Z J , QIN L , et al. Electromagnetic vortex imaging method based on improved BP algorithm[J]. Radar Science and Technology, 2020, 18 (5): 539- 545.
22	陆子渊, 何勇, 卞雷祥, 等. 基于一发多收线圈阵列的频域电磁法未爆弹探测技术[J]. 电子测量与仪器学报, 2023, 37 (5): 79- 87.
	LU Z Y , HE Y , BIAN L X , et al. Frequency-domain electromagnetic unexploded bomb detection technology based on one-shot, multiple-receiver array[J]. Journal of Electronic Mea-surement and Instrumentation, 2023, 37 (5): 79- 87.
23	FORTES J , SVINGAL M , PORTELEKY T , et al. Positioning and tracking of multiple humans moving in small rooms based on a one-transmitter-two-receiver UWB radar configuration[J]. Sensors, 2022, 22 (14): 5228.
24	DASH D , JAYARAMAN V A . Probabilistic model for sensor fusion using range-only measurements in multistatic radar[J]. IEEE Sensors Letters, 2020, 4 (6): 7500604.
25	MAMGAIN R, BAPAT J. Comparative analysis of geometry of receiver placement in multistatic radar configuration[C]//Proc.of the IEEE International Conference on Electronics, Computing and Communication Technologies, 2020.
26	LACKPOUR A, PROSKA K, GOMER S. Genetic optimization of a multistatic extended radar system[C]//Proc.of the IEEE Radar Conference, 2016.
27	KILANI M B , GAGNON G , GAGNON F . Multistatic radar placement optimization for cooperative radar-communication systems[J]. IEEE Communications Letters, 2018, 22 (8): 1576- 1579.
28	LI H P , FENG D Z . Cuckoo search algorithm-based optimal deployment method of heterogeneous multistatic radar for barrier coverage[J]. Journal of Systems Engineering and Electronics, 2023, 34 (5): 1101- 1115.
29	CHEN N K , WEI P , GAO L , et al. Robust tracking of multiple targets subspace based on distributed array networks[J]. IEEE Trans.on Aerospace and Electronic Systems, 2023, 59 (6): 9758- 9768.
30	ZHANG D D , TANG Y , DING Z T , et al. Event-based resilient formation control of multiagent systems[J]. IEEE Trans.on Cybernetics, 2021, 51 (5): 2490- 2503.
31	陈军, 王昊, 贺晓波, 等. 基于滤波器组多载波的组网低截获探通一体化信号设计[J]. 电子与信息学报, 2024, 46 (11): 4268- 4277.
	CHEN J , WANG H , HE X B , et al. Design of low-intercept probing integrated signal based on multi-carrier filter bank[J]. Journal of Electronics and Information Technology, 2024, 46 (11): 4268- 4277.
32	CHEN J , WANG F , ZHOU J J . Information-theoretic optimal radar waveform selection with multi-sensor cooperation for LPI purpose[J]. IEEE Access, 2022, 10, 113649- 113661.

L_{B_1T}/km	d/km	β₁/(°)	β₂/(°)	β_α/(°)
28	2.5	0	无解	[0, 90]
28	3.0	0	59	[59, 90]
30	2.5	0	72	[72, 90]
30	3.0	0	89	[89, 90]

L_{B_1T}/km	d/km	f(β=0°)	f(β=90°)	f(β)
28	2.5	-71.00	-70.23	无解
28	3.0	-71.36	-70.51	-71.00
30	2.5	-71.48	-70.74	-71.01
30	3.0	-71.82	-70.99	-71.02

d/m	0°	45°	90°
0.7	1 300	1 600	1 600
2.1	1 350	1 400	1 400

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