一种多目标与多基地雷达之间的博弈策略

doi:10.19665/j.issn1001-2400.2021.02.016

西安电子科技大学学报 ›› 2021, Vol. 48 ›› Issue (2): 125-132.doi: 10.19665/j.issn1001-2400.2021.02.016

一种多目标与多基地雷达之间的博弈策略

赫彬(),苏洪涛()

西安电子科技大学雷达信号处理国家重点实验室,陕西西安 710071

收稿日期:2020-10-07 修回日期:2020-12-09 出版日期:2021-04-20 发布日期:2021-04-28
作者简介:赫彬 (1988—),男,西安电子科技大学博士研究生,E-mail: aihebin19@163.com|苏洪涛(1974—),男,教授,博士,E-mail: suht@xidian.edu.cn
基金资助:
国家自然科学基金(61372134)

Study of game strategy between multiple targets and multistatics radars

HE Bin(),SU Hongtao()

National Laboratory of Radar Signal Processing,Xidian University,Xi’an 710071,China

Received:2020-10-07 Revised:2020-12-09 Online:2021-04-20 Published:2021-04-28

摘要/Abstract

摘要：

针对多基地多输入多输出雷达与多目标之间的对抗博弈,研究了一种多基地雷达系统的功率分配与波束成形联合技术。在一个确定的信干噪比约束下,多基地雷达系统的主要目的是极小化自身发射总功率,并期望通过波束成形算法来抑制互雷达通道干扰,提升目标检测的准确性。基于雷达之间的策略非合作博弈,证明了博弈的纳什均衡解的存在性和唯一性。然后,根据理论分析提出了一种迭代的联合波束成形与功率分配博弈算法。该算法利用线性约束最小方差准则得到了多基地雷达的接收波束成形器权矢量,抑制了互雷达干扰的影响。数值结果表明,所提算法较相关博弈算法有更好的干扰抑制能力和更少的功率损耗。

关键词: 功率分配, 波束成形, 博弈论, 纳什均衡, 博弈策略, 多基地雷达

Abstract:

Aiming at the conflict game between multistatic multiple-input multiple-output(MIMO) radars and multiple targets,a joint technology of power allocation and beamforming for a multistatic MIMO radar system is studied.The main purpose of the multistatic radar system is to minimize the total transmit power under a certain signal to interference noise ratio(SINR) constraint,and to suppress the cross-channel interference to improve the accuracy of target detection.Based on the strategic non-cooperative game between radars,the existence and uniqueness of the Nash equilibrium solution are proved.Then,according to the theoretical analysis,a joint beamforming and power allocation algorithm is proposed and converges to the Nash equilibrium.Meanwhile,the receive beamformers of multistatic radars are obtained by using the linearly constrained minimum variance(LCMV) criterion to suppress the mutual radar interference.Numerical results show that the proposed algorithm has a better interference suppression ability and less power consumption than the related game algorithm.

Key words: power allocation, beamforming, game theory, Nash equilibrium, game strategy, multistatic radars

中图分类号:

TN958

赫彬,苏洪涛. 一种多目标与多基地雷达之间的博弈策略[J]. 西安电子科技大学学报, 2021, 48(2): 125-132.

HE Bin,SU Hongtao. Study of game strategy between multiple targets and multistatics radars[J]. Journal of Xidian University, 2021, 48(2): 125-132.

图/表 6

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参考文献 14

[1]	LI J, STOICA P. MIMO Radar with Colocated Antennas[J]. IEEE Signal Processing Magazine, 2007,24(5):106-114.
[2]	周成, 满欣, 周志文. 一种利用MIMO雷达的CWLS目标定位算法[J]. 西安电子科技大学学报, 2019,46(1):124-129.
	ZHOU Cheng, MAN Xin, ZHOU Zhiwen. Constrained Weighted Least Squares Algorithm Based on The MIMO Radar System for Target Localization[J]. Journal of Xidian University, 2019,46(1):124-129.
[3]	CHERNYAK V S. Fundamentals of Multisite Radar Systems:Multistatic Radars and Multiradar Systems[M]. London:Gordon and Breach Science Publishers, 1998: 1-70.
[4]	DELIGIANNIS A, PANOUI A, LAMBOTHARAN S, et al. Game-Theoretic Power Allocation and the Nash Equilibrium Analysis for a Multistatic MIMO Radar Network[J]. IEEE Transactions on Signal Processing, 2017,65(24):6397-6408.
[5]	SHI C, WANG F, SELLATHURAI M, et al. Non-cooperative Game Theoretic Power Allocation Strategy for Distributed Multiple-radar Architecture in a Spectrum Sharing Environment[J]. IEEE Access, 2018,6:17787-17800.
[6]	SONG X, WILLETT P, ZHOU S, et al. The MIMO Radar and Jammer Games[J]. IEEE Transactions on Signal Processing, 2012,60(2):687-699.
[7]	DELIGIANNIS A, LAMBOTHARAN S, CHAMBERS J A. Game Theoretic Analysis for MIMO Radars with Multiple Targets[J]. IEEE Transactions on Aerospace and Electronic Systems, 2016,52(6):2760-2774.
[8]	CHEN H, TA S, SUN B. Cooperative Game Approach to Power Allocation for Target Tracking in Distributed MIMO Radar Sensor Networks[J]. IEEE Sensors Journal, 2015,15(10):5423-5432.
[9]	BACHMANN D J, EVANS R J, MORAN B. Game Theoretic Analysis of Adaptive Radar Jamming[J]. IEEE Transactions on Aerospace and Electronic Systems, 2011,47(2):1081-1100.
[10]	GOGINENI S, NEHORAI A. Game Theoretic Design for Polarimetric MIMO Radar Target Detection[J]. Signal Processing, 2012,92(5):1281-1289.
[11]	CHAVALI P, NEHORAI A. Concurrent Particle Filtering and Data Association Using Game Theory for Tracking Multiple Maneuvering Targets[J]. IEEE Transactions on Signal Processing, 2013,61(20):4934-4948.
[12]	PIEZZO M, AUBRY A, BUZZI S, et al. Non-cooperative Code Design in Radar Networks:a Game-Theoretic Approach[J/OL].[2020-09-30]. https://asp-eurasipjournals.springeropen.com/articles/10.1186/1687-6180-2013-63.
[13]	HAN K, NEHORAI A. Jointly Optimal Design for MIMO Radar Frequency-Hopping Waveforms Using Game Theory[J]. IEEE Transactions on Aerospace and Electronic Systems, 2016,52(2):809-820.
[14]	SHI C, QIU W, WANG F, et al. Power Control Scheme for Spectral Coexisting Multistatic Radar and Massive MIMO Communication Systems under Uncertainties:A Robust Stackelberg Game Model[J]. Digital Signal Processing, 2019,94:146-155.

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一种多目标与多基地雷达之间的博弈策略

Study of game strategy between multiple targets and multistatics radars

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