中文摘要：

针对认知无线电环境下的功率控制问题，给出了基于博弈论的非合作功率控制算法，并对其纳什均衡存在性和唯一性进行了证明。在此基础上，针对该算法中部分用户SINR远大于目标值而引起功率浪费的情况．通过一种反馈函数对惩罚因子进行自适应调整。仿真结果表明，与其他分布式算法相比，经过调整后的功率控制算法在保障主用户QoS需求的前提下，能够保证所有用户的输出SINR满足上下限阈值要求，并有效降低认知用户功率消耗，克服远近效应，达到用户公平共享频谱资源的目的。

英文摘要：

A non-cooperative power control algorithm based on game theory was proposed in cognitive radio systems, and its Nash equilibrium existence and uniqueness were also proved. However, some users ＇SINR is much larger than the target value in the proposed algorithm, causing power waste. Aiming at improving it, a feedback function was presented to design a mechanism of penalty factor self-adaptive adjustment on the basis of the algorithm. The numerical simulation results show that, compared with other distributed algorithms, the proposed algorithm, in the premise of meeting the primary user＇ QoS requirements, is able to ensure that all cognitive users＇ output SINR meet the threshold requirements, reduce the power consumption and overcome the near-far effect to achieve the purpose of the fair sharing of spectrum resources.