认知无线网络中一种基于博弈的自适应功率控制算法

为了实现认知无线电中频谱分配公平性以及满足需要省电的情况，提出了一种基于博弈论的自适应功率控制算法，并证明了纳什均衡发射功率的存在性与唯一性。该算法不仅通过博弈论效用函数表达功率控制过程，解决了远近不公平现象和解决省电难题，而且通过设定信干噪比的最大与最小阀值，可以将不满足阀值的信干噪比值通过自适应加权公式，将其调整到阀值范围内，以满足省电需要。通过仿真分析可知，与其他算法比较，该算法不仅解决了认知无线电的远近不公平性现象，还可以通过减少发射功率，有效地解决了省电问题，而且当信干噪比在设定的阀值外时，通过自适应调整，使之在阀值范围内，减少了功率的浪费。

An adaptive power control algorithm based on game theory in the cognitive radio network

In order to satisfy the condition that the cognitive radio needs to realize the fairness of spectrum allocation in the cognitive radio and save electricity, an adaptive power control algorithm which is based on game theory is proposed,mean-while,the existence and uniqueness of the Nash equilibrium transmit power is proved in this paper.The utility function of game theory is used to express the process of power control,so that the algorithm solves the unfairness of spectrum allocation and save electricity. Also as the SINR threshold is set,the SINR which does not satisfy the threshold value will be adjusted to the threshold by adaptive weighted formula.Simulation results show that the improve algorithm not only solves the unfairness of spectrum allocation in the cognitive radio,but also reduces the transmit power and solves the problem to save power effectively.The SINR is adjusted to the threshold to avoid the waste of power,when it is beyond the threshold.