Research On Power Control Of Wireless Communication Under Network Attack

This paper studies the transmission power control problems in the presence of malicious attacks,in which wireless sensors transmit their measurements to a remote estimator through wireless communication channels.The estimation error of the state is the core of this problem.In order to solve this problem,a multi-sensor communication game model(including the complete information game model and the incomplete information game model)under network attacks is established and solved.The game theory(Nash game,Stackelberg game,Bayesian game)is applied to study the relationship between the power of the smart sensors and the power of the DoS attackers.Although the equilibrium strategy is not the most advantageous strategy for participants,it avoids circular reasoning.The equilibrium is stable in an endless cycle,which enables participants to maintain consistency in their estimations of the actions of other participants.The contributions of this paper mainly include the following two aspects:First,in the case of complete information,the Nash Equilibrium(NE)strategy and Stackelberg Equilibrium(SE)strategy for both attackers and sensors are studied.In the process of communication between the multiple sensors and the remote receiver,each channel of sensor-receiver may be attacked by an attacker.Since the measurement values obtained by each sensor are different,the different sensor will have the different degree of cost when data packets are lost.The goal of the sensor can be summarized as that the more energy should be assigned with the communication channel which has more measurement innovation.Similarly,the goal of attackers can be summarized as maximizing the destruction of communication performance.The estimation error is used as an indicator to measure the communication performance,and the optimal strategies are designed for both attackers and sensors under the framework of Nash game and Stackelberg game.Second,in the case of incomplete information,based on the signal-to-noise ratio of the communication power,the Bayesian Nash equilibrium strategy for both attackers and sensors is studied.Assuming that the total energy(power)used by both attackers and sensors is no longer the public information of both parties,that is,more randomness is given to both parties to limit their energy.In this case,the Bayesian game model is established with the product of the signal-to-noise ratio of the multi-sensor communication channel as the objective function.The Bayesian Nash equilibrium strategies for both sides are analyzed.