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Article

An Anti-Jamming Hierarchical Optimization Approach in Relay Communication System via Stackelberg Game

by
Zhibin Feng
1,
Guochun Ren
1,*,
Jin Chen
1,
Chaohui Chen
2,
Xiaoqin Yang
1,
Yijie Luo
1 and
Kun Xu
3
1
College of Communications Engineering, Army Engineering University of PLA, Nanjing 210000, China
2
Haige Communications Group Incorporated Company, Guangzhou 510000, China
3
College of Information and Communication, National University of Defense Technology, Wuhan 430000, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(16), 3348; https://doi.org/10.3390/app9163348
Submission received: 15 July 2019 / Revised: 5 August 2019 / Accepted: 10 August 2019 / Published: 14 August 2019
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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Abstract

In this paper, we study joint relay selection and the power control optimization problem in an anti-jamming relay communication system. Considering the hierarchical competitive relationship between a user and jammer, we formulate the anti-jamming problem as a Stackelberg game. From the perspective of game, the user selects relay and power strategy firstly which acts as the leader, while the jammer chooses power strategy then that acts as follower. Moreover, we prove the existence of Stackelberg equilibrium. Based on the Q-learning algorithm and multi-armed bandit method, a hierarchical joint optimization algorithm is proposed. Simulation results show the user’s strategy selection probability and the jammer’s regret. We compare the user’s and jammer’s utility under the proposed algorithm with a random selection algorithm to verify the algorithm’s superiority. Moreover, the influence of feedback error and eavesdropping error on utility is analyzed.
Keywords: anti-jamming; relay selection; power control; Stackelberg game; Q-learning; multi-armed bandit anti-jamming; relay selection; power control; Stackelberg game; Q-learning; multi-armed bandit
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MDPI and ACS Style

Feng, Z.; Ren, G.; Chen, J.; Chen, C.; Yang, X.; Luo, Y.; Xu, K. An Anti-Jamming Hierarchical Optimization Approach in Relay Communication System via Stackelberg Game. Appl. Sci. 2019, 9, 3348. https://doi.org/10.3390/app9163348

AMA Style

Feng Z, Ren G, Chen J, Chen C, Yang X, Luo Y, Xu K. An Anti-Jamming Hierarchical Optimization Approach in Relay Communication System via Stackelberg Game. Applied Sciences. 2019; 9(16):3348. https://doi.org/10.3390/app9163348

Chicago/Turabian Style

Feng, Zhibin, Guochun Ren, Jin Chen, Chaohui Chen, Xiaoqin Yang, Yijie Luo, and Kun Xu. 2019. "An Anti-Jamming Hierarchical Optimization Approach in Relay Communication System via Stackelberg Game" Applied Sciences 9, no. 16: 3348. https://doi.org/10.3390/app9163348

APA Style

Feng, Z., Ren, G., Chen, J., Chen, C., Yang, X., Luo, Y., & Xu, K. (2019). An Anti-Jamming Hierarchical Optimization Approach in Relay Communication System via Stackelberg Game. Applied Sciences, 9(16), 3348. https://doi.org/10.3390/app9163348

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