中文摘要：

基于博弈论对认知无线电网络中的功率控制问题进行了建模分析,提出了一种基于多次博弈的功率控制算法,证明了该算法中纳什均衡的存在性和惟一性。仿真结果表明,基于该博弈模型的功率控制算法收敛性比传统算法好,经过7次左右迭代即可收敛,满足系统实时性要求,同时又能够以较低的功率水平满足不同用户对信干比的要求,实现了对不同用户发射功率的有效控制,系统性能明显提高。

英文摘要：

This article proposes a game theoretic solution for power control policy in cognitive radio networks.A power control game algorithm is proposed based on cost function.The uniqueness and existence of the Nash equilibrium is proved for the scheme.Simulation results show that the novel power control algorithm based on game theory will be obtained better convergence compared with traditional algorithm,after about 7 iterations algorithm will converge to an NE and can satisfy the real-time requirement,the novel algorithm can regulate their transmitter powers to meet the different signal to interference ratio（SIR） requirements and the performance of CR system is thereby improved obviously.