基于博弈论的认知无线网络中一种功率控制算法

在underlay模式中，针对次用户为增大自身收益私自提高发射功率的问题，提出了一种基于博弈论的功率控制算法.首先，在满足主用户和次用户正常通信的情况下，将信道状态的概念引入到效用函数中，以增大对理性用户自私性的惩罚；其次，证明所提算法纳什均衡的存在性和唯一性；最后，用一般迭代法求取最优解.实验结果表明：所提算法能够降低用户发射功率，具有较好的抗背景噪声能力，且增大了系统的吞吐量.

The power control for cognitive radio networks based on a game theory

In the underlay mode underlay， for the issue that the SU elevate their profits by enhancing transmitting power， we propose the power control for cognitive radio networks based on a game theory. Firstly， under the condition of meeting the normal communication between the main users and the SU， we need to introduce channel condition into utility function so as to increase punishment for rational user's selfishness. Secondly， it need to prove that the existence of Nash equilibrium can be found and Nash equilibrium is unique. Finally， the general iterative method is used to find the optimal solution. The experiment shows that the proposed algorithm can reduce the user's transmitting power， have a better anti-background noise ability， and increase the throughput capacity of the system.