A Multi-Domain Anti-Jamming Strategy using Stackelberg Game in Wireless Relay Networks

In this paper, we study the influence of a smart jammer on the design of a three-node frequency hopping communication system using an amplify-and-forward relay. The jammer is smart that it senses the frequency and transmit powers used by the legitimate transmitters including the source node and the relay, and optimally adjusts the sensing time and the jamming power allocation to maximize the performance damage of the relay system. We jointly consider the time domain and the power domain to design a multi-domain anti-jamming strategy. To model the interaction between the legitimate transmitters and the jammer, we use Stackelberg game and let the legitimate transmitters act as the leader while the jammer act as the follower. Based on backward induction, a genetic algorithm based on exponential distribution algorithm is proposed to obtain the optimal frequency-hopping speed and the optimal transmit powers of the legitimate transmitters. Simulation results show that the proposed multi-domain strategy outperforms single-domain schemes and the multi-domain random scheme. Moreover, the optimal placement of the relay is also discussed through simulations.