A Repeated Games-Based Secure Multiple-Channels Communications Scheme for Secondary Users with Randomly Attacking Eavesdroppers
Abstract
:1. Introduction
2. System Model
Local Spectrum Sensing
3. Game Models for Channel Selection
3.1. Game Formulation
3.2. Game Solution
Algorithm 1 Solve the game problem in Equation (18). |
Output of the algorithm: the optimal action of user m, . 1: for 2: Calculate expected payoff of player m 3: Initial value 4: Define as a combination action of users, except user m. 5: 6: The total number of possible combination actions : 7: All combination actions of users except m are: 8: for 9: Calculate 10: 11: with 12: is calculated with Equation (12) 13: end for 14: end for 15: Find the optimal action of the game, : |
4. An Anti-Eavesdropper Scheme for the Multiple-Channel Communications of Cognitive Radio Users
Algorithm 2 An anti-eavesdropper scheme based on multiple games for SUs. |
Output of the algorithm: the optimal channel for user m. Given the state of the system: as defined in Equation (10), where . 1: The first game: We determine pre-selected channel by solving Equation (18) with the state where Equation (18) can be solved with Algorithm 1. 2: The user m will perform spectrum sensing on the pre-selected channel ; according to the sensing result in the channel, we update belief as Equation (19) or (20). 3: According to the updated belief , we determine the updated state of the system, , as defined in Equation (10). 4: The second game: The updated state will be used to compute the payoff of player m, as shown in Equation (17), which is the object function for the problem in Equation (18). The problem in Equation (18) will be solved to find optimal action for the user m according to Algorithm 1. 5: The user m will access channel to achieve its reward. According to the observation of the communications link in the channel, the state of the system will be updated for use in the next time slot as Equations (21)–(24). |
5. Simulation Results
6. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Vu, V.-H.; Thien, H.T.; Koo, I. A Repeated Games-Based Secure Multiple-Channels Communications Scheme for Secondary Users with Randomly Attacking Eavesdroppers. Appl. Sci. 2019, 9, 868. https://doi.org/10.3390/app9050868
Vu V-H, Thien HT, Koo I. A Repeated Games-Based Secure Multiple-Channels Communications Scheme for Secondary Users with Randomly Attacking Eavesdroppers. Applied Sciences. 2019; 9(5):868. https://doi.org/10.3390/app9050868
Chicago/Turabian StyleVu, Van-Hiep, Huynh Thanh Thien, and Insoo Koo. 2019. "A Repeated Games-Based Secure Multiple-Channels Communications Scheme for Secondary Users with Randomly Attacking Eavesdroppers" Applied Sciences 9, no. 5: 868. https://doi.org/10.3390/app9050868
APA StyleVu, V.-H., Thien, H. T., & Koo, I. (2019). A Repeated Games-Based Secure Multiple-Channels Communications Scheme for Secondary Users with Randomly Attacking Eavesdroppers. Applied Sciences, 9(5), 868. https://doi.org/10.3390/app9050868