Optimizing Secrecy Capacity In Wireless Sensor Neteorks Based On Static Game Of Complete Information

With the widely applied of wireless sensor networks, its security has got more and more attentions and researches. Communication security is a focus of wireless sensor networks security, many scholars start concern about how to securely transform data on physical layer in recent years.Secrecy capacity in information theory is the max information transmit rate when there is an eavesdropper, while the eavesdropper has the coding schema of data sender and the decoding schema of data receiver but it can’t get any information after get messages from wiretap channel. In the communication of wireless sensor network, if there exist eavesdropper, according to the theory of secrecy capacity of information theory, channel of wireless sensor network can get some securely transform rate, and the rate is positive correlation with the transform power of sensor node. However, the energy of sensor node is usually limited because of its own. So the energy of sensor node should be efficiently used. In wireless networks, it can improve secrecy capacity of channel by improving the power of sensor node, but it also create more interferences to other channels, and high power will reduce the work time of sensor node. In the perspective of game theory, this paper proposes a game model, and proves that there exist Nash Equilibrium in this game model. Main works are as follows:(1) According to the characters of wireless sensor networks, gives a data transform model of wireless sensor network with an eavesdropper. And giving the secrecy capacity expression of the mode according to information theory.(2) Based on static game of complete information, building the game model according to the relations between secrecy capacity of channels in wireless sensor network and power of sensor nodes. It is proved that there exist Nash equilibrium in this game model, and gives the restrictive conditions while to meet the existence of Nash equilibrium. (3)Building simulation of the game model, setting the parameters by restrictive conditions. Analyzed the factors affecting payoff curve and how this factors influence Nash equilibrium of game model.Game theory is getting more and more attentions in security areas of wireless sensor networks. It researches on optimizing secrecy capacity in wireless sensor networks based on static game of complete information in this paper, and gets better result.