随机数据丢包情况下组网雷达功率分配算法

doi:10.12305/j.issn.1001-506X.2024.06.13

摘要/Abstract

摘要：

在组网雷达系统中, 由于节点间通信信号传播存在路径衰落等问题, 雷达量测数据与资源调度数据的传输接收存在随机性。引入随机丢包变量, 用以表征数据接收的随机性, 建立丢包状态下组网雷达多目标跟踪功率分配模型, 推导了该模型多目标跟踪误差期望下界, 最终建立了总功率一定条件下, 以最小化目标威胁度加权期望跟踪误差下界的数学优化模型, 并通过凸优化算法求解。仿真结果表明, 与不考虑随机丢包变量的功率分配算法相比, 所提算法在多种场景下均能有效提高目标跟踪精度。

关键词: 多目标跟踪, 组网雷达, 复杂场景, 功率分配

Abstract:

Due to factors such as path fading in communication signal propagation, the transmission and reception of radar measurement data and resource scheduling data are random in the netted radar system. In this paper, the random packet loss variable is introduced to characterize the randomness of data reception, and the multi-target tracking power allocation model of netted radar under packet loss state is established. The expected lower bound of multi-target tracking error of the model is derived. Finally, a mathematical optimization model is established to minimize the weighted expected tracking error lower bound of the target threat under the condition of certain total power, and solved by the convex optimization algorithm. Simulation results show that the proposed algorithm can effectively improve the target tracking accuracy in various scenarios, compared with the power allocation algorithms without considering the random packet loss variable.

Key words: multi-target tracking, netted radar, complex scene, power allocation

中图分类号:

TN953

卓娅玲, 李响, 左磊, 胡娟. 随机数据丢包情况下组网雷达功率分配算法[J]. 系统工程与电子技术, 2024, 46(6): 1957-1966.

Yaling ZHUO, Xiang LI, Lei ZUO, Juan HU. Power allocation algorithm with random data packet loss in netted radar[J]. Systems Engineering and Electronics, 2024, 46(6): 1957-1966.

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参考文献 31

1	YAN J K , DAI J H , PU W Q , et al. Target capacity based resource optimization for multiple target tracking in radar network[J]. IEEE Trans.on Signal Processing, 2021, 69 (4): 2410- 2421.
2	SHI Y C , JIU B , YAN J K , et al. Data-driven simultaneous multi-beam power allocation: when multiple targets tracking meets deep reinforcement learning[J]. IEEE Systems Journal, 2021, 15 (1): 1264- 1274. doi: 10.1109/JSYST.2020.2984774
3	SONG R Y, CHENG D S, QI W, et al. Research on anti-deceptive jamming of multi-station fusion of netted radar[C]//Proc. of the IEEE 10th Joint International Information Technology and Artificial Intelligence Conference, 2022: 1732-1734.
4	BERRY P E , DAHAL N , VENKATARAMAN K . The design of an optimal coherent multi-static radar network configuration[J]. IET radar, Sonar & Navigation, 2022, 16 (5): 869- 884.
5	TAO Z H , ZHOU F H , WANG Y H , et al. Resource allocation and trajectories design for UAV-assisted jamming cognitive UAV networks[J]. China Communications, 2022, 19 (5): 206- 217. doi: 10.23919/JCC.2021.00.007
6	SHI C G, SHI Z, SANA S, et al. Joint optimization of radar assignment and resource allocation for target tracking in phased array radar network[C]//Proc. of the Chinese Institute of Electronics International Conference on Radar, 2021: 2445-2447.
7	李正杰, 谢军伟, 张浩为, 等. 基于集中式MIMO雷达的功率带宽联合分配算法[J]. 系统工程与电子技术, 2020, 42 (5): 1041- 1049.
	LI Z J , XIE J W , ZHANG H W , et al. Joint power and bandwidth allocation algorithm based on collocated MIMO radar[J]. Systems Engineering and Electronics, 2020, 42 (5): 1041- 1049.
8	ZHANG H W , ZHUO H , ZONG B F , et al. A fast power allocation strategy for multi-beam tracking multiple targets in clutter[J]. IEEE Systems Journal, 2021, 16 (1): 1249- 1257.
9	ZHANG H W , LIU W J , XIE J W , et al. Joint subarray selection and power allocation for cognitive target tracking in large-scale MIMO radar networks[J]. IEEE Systems Journal, 2020, 14 (2): 2569- 2580. doi: 10.1109/JSYST.2019.2960401
10	时晨光, 董璟, 周建江. 频谱共存下面向多目标跟踪的组网雷达功率时间联合优化算法[J]. 雷达学报, 2022, 11 (3): 73- 82.
	SHI C G , DONG J , ZHOU J J . Joint transmit power and dwell time allocation for multi-target tracking in radar networks under spectral coexistence[J]. Journal of Radar, 2022, 11 (3): 73- 82.
11	SHI C G , WANG Y J , SALOUS S , et al. Joint transmit resource management and waveform selection strategy for target tracking indistributed phased array radar network[J]. IEEE Trans.on Aerospace Electronic Systems, 2022, 58 (4): 2762- 2778. doi: 10.1109/TAES.2021.3138869
12	ZHENG X Y, ZHU J Z, HE Q. Power allocation in MIMO collaborative co-existing radar and communications systems: a non-cooperative game approach[C]//Proc. of the 31st European Signal Processing Conference, 2023: 1584-1588.
13	GAO Y F , WU Y , CUI Z C , et al. Robust trajectory and communication design for angle-constrained multi-UAV communications in the presence of jammers[J]. China Communications, 2022, 19 (2): 131- 147. doi: 10.23919/JCC.2022.02.011
14	XU D F, KHALILI A, YU X H, et al. Integrated sensing and communication in distributed antenna networks[C]//Proc. of the IEEE International Conference on Communications Workshops, 2023: 1457-1462.
15	ZUNIGA M, KRISHNAMACHARI B. Analyzing the transitional region in low power wireless links[C]//Proc. of the IEEE Annual Communications Society Conference on Sensor and Ad Hoc Communications and Networks, 2004: 517-526.
16	ZAMALLOA M , KRISHNAMACHARI B . An analysis of unreliability and asymmetry in low-power wireless links[J]. ACM Transactions on Sensor Networks, 2007, 3 (2): 7. doi: 10.1145/1240226.1240227
17	刘永桂, 胥布工, 史步海. 随机系统中能容忍连续丢包和测量时延的卡尔曼滤波[J]. 控制理论与应用, 2013, 30 (7): 898- 908.
	LIU Y G , XU B G , SHI B H . Kalman filtering for stochastic systems with consecutive packet losses and measurement time delays[J]. Control Theory & Applications, 2013, 30 (7): 898- 908.
18	TIAN T , SUN S L . Distributed fusion estimation for multi-sensor multi-rate systems with packet dropout compensations and correlated noises[J]. IEEE Trans.on Systems, Man, and Cybernetics Systems, 2021, 51 (9): 5762- 5772. doi: 10.1109/TSMC.2019.2956259
19	MAYBECK P S , SIOURIS G M . Stochastic models, estimation and control[J]. IEEE Trans.on Systems, Man, and Cybernetics, 1980, 10 (5): 282. doi: 10.1109/TSMC.1980.4308494
20	韩崇昭. 多源信息融合[M]. 北京: 清华大学出版社, 2022: 37- 38.
	HAN C Z . Multi-source information fusion[M]. Beijing: Tsing-hua University Press, 2022: 37- 38.
21	GHOSHA A , SAJAL K D . Coverage and connectivity issues in wireless sensor networks: a survey[J]. Pervasive and Mobile Computing, 2008, 4 (3): 303- 334. doi: 10.1016/j.pmcj.2008.02.001
22	LUO Y L , LI Z M , LIAO Y R , et al. Adaptive markov IMM based multiple fading factors strong tracking CKF for maneuvering hypersonic-target tracking[J]. Applied Sciences, 2022, 12 (20): 10295- 10395. doi: 10.3390/app122010295
23	YAN J K , DAI J H , PU W Q , et al. Quality of service constrained-resource allocation scheme for multiple target tracking in radar sensor network[J]. IEEE Systems Journal, 2021, 15 (1): 771- 779. doi: 10.1109/JSYST.2020.2990409
24	DAI J H , YAN J K , WANG P H , et al. Target capacity based power allocation scheme in radar network[J]. Journal of Electronics & Information Technology, 2021, 43 (9): 2688- 2694.
25	DAI J H, MO X C, PU W Q, et al. Resource allocation for multiple target tracking in active and passive radar network[C]//Proc. of the Chinese Institute of Electronics International Conference on Radar, 2021: 2564-2568.
26	LI Z J , XIE J W , LIU W J , et al. Joint strategy of power and bandwidth allocation for multiple maneuvering target tracking in cognitive MIMO radar with collocated antennas[J]. IEEE Trans.on Vehicular Technology, 2023, 72 (1): 190- 204. doi: 10.1109/TVT.2022.3204939
27	SUN H , LI M , ZUO L , et al. Resource allocation for multi-target tracking and data reduction in radar network with sensor location uncertainty[J]. IEEE Trans.on Signal Processing, 2021, 69 (8): 4843- 4858.
28	ZHANG H W , LIU W J , ZHANG Z J , et al. Joint target assignment and power allocation in multiple distributed MIMO radar networks[J]. IEEE Systems Journal, 2021, 15 (1): 694- 704. doi: 10.1109/JSYST.2020.2986020
29	BOYD S . Convex optimization[M]. Cambridge: Cambridge University Press, 2004: 67- 113.
30	BACCOUR N , KOUBAA L , MOTTALA L , et al. Radio link quality estimation in wireless sensor networks: a survey[J]. ACM Transactions on Sensor Networks, 2012, 8 (4): 195- 227.
31	李正杰, 谢军伟, 张浩为. 基于认知跟踪的集中式MIMO雷达功率分配算法[J]. 探测与控制学报, 2019, 41 (6): 75- 82.
	LI Z J , XIE J W , ZHANG H W . Centralized MIMO radar allocation algorithm based on cognition tracking[J]. Journal of Detection and Control, 2019, 41 (6): 75- 82.

初始位置/km	初始速度/(m/s)
(12, 30)	(210, -100)
(30, 25)	(-110, -160)

场景	$\left(\bar{\mu}_{1, k}^{\prime}, \bar{\beta}_{1, k}^{\prime}\right)$	$\left(\bar{\mu}_{2, k}^{\prime}, \bar{\beta}_{2, k}^{\prime}\right)$	$\left(\bar{\mu}_{3, k}^{\prime}, \bar{\beta}_{3, k}^{\prime}\right)$	$\left(\bar{\mu}_{4, k}^{\prime}, \bar{\beta}_{4, k}^{\prime}\right)$	$\left(\bar{\mu}_{5, k}^{\prime}, \bar{\beta}_{5, k}^{\prime}\right)$
S₁	0.09	0.69	0.68	0.65	0.03
S₂	0.53	0.73	0.61	0.28	0.02

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