采用sigmoid函数设计了一种自适应效用函数,该函数仅与认知用户的信干噪比门限和当前获得的信干噪比相关,因此可以通过自适应改变信干噪比门限实现认知用户的机会频谱接入,并快速满足其服务质量要求.同时,兼顾用户公平性重新设计代价函数来改善纳什均衡功率解的帕累托有效性.在此基础上基于非合作博弈论提出一种功率控制模型,经证明该模型符合超模博弈,从理论上保证了纳什均衡解的存在性和惟一性.并提出一种自适应功率控制算法,仿真结果表明该算法可以保证约10次迭代收敛,与参考算法相比节省约8%的功耗,在获得的效用上有近15%改善.
An adaptive utility function based on the sigmoid function is proposed,which is related to the signal-to-interference plus noise(SINR) threshold and the obtained SINR,so that it will help to implement the opportunistic spectrum access by adaptively adjusting the SINR threshold,and it will satisfy the QoS requirement of multiple secondary users(SUs) fast.Meanwhile,considering the fairness among SUs,we rebuilt the pricing function to improve the Pareto optimality of the Nash equilibrium solution(NES).Based on all this,a power control model is investigated from the perspective of the non-cooperative game theory.The model is proved to be the super-modular game,and it can guarantee the existence and uniqueness of the NES.Simulation results show that the proposed power control algorithm can lead to converfence after 10 iterations,and that compared to the referenced algorithm it can save 10% power consumption and achieve mostly 15% improvement on the final utility.