Game theoretic jamming control for the Gaussian interference wiretap channel

The broadcast nature of wireless communication makes it vulnerable to Eavesdropping. To enhance the communication security, cooperative jamming (CJ) is applied and studied in many previous works. However, jamming signal may also decrease the signal-to noise ratio (SNR) of legal receivers, and degrade the overall performance of networks. Therefore, the jammer power must be reasonably controlled. In this paper, the jamming power control over two-user Gaussian interference wiretap channel is investigated. We aim to establish the optimal scheme for each communication pair with game theory. To maximize secrecy rate with minimal jamming power, we first derive the pure and mixed strategies Nash Equilibrium (NE) in non-cooperative game frame. Then given the overall utility and fairness, we establish a cooperative game. In cooperative game frame, time-sharing mechanism is used. In both frames, we derive best equilibrium strategy for each transmitter. Numerical results demonstrate that the system utility is really improved with jamming power control based on game theory.