A Physical Layer Security Transmission Method based on Continuous Zero-sum Game in the Presence of a Malicious Jammer

In a four-node network in the presence of a malicious jammer, the correlated jamming from the malicious jammer disrupted the legitimate communication. To cope with this security problem, this paper proposed a secure transmission method of transmitting the source signals and the structural noise synchronously. The structural noise is a kind of structural word known to the legitimate node, thus only jamming the non-cooperative nodes and enhancing the security. The detail steps are the following. First, the transmitter and the malicious jammer were modeled as a continuous zero-sum game with the utility function of secrecy rate. Then, their strategies were determined according to the channel state, and the corresponding Nash equilibrium was analyzed. Finally, the equilibrium was used to guide the power allocation for source signals and structural noise to enhance the system performance. Numerical simulation results show that the average secrecy rate of the proposed method is higher than the original scheme.