一种改进的认知无线电功率控制博弈算法

摘要

In cognitive radio networks,under the premise of cognitive users satisfying the target SINR,in order to reduce each user’ s transmit power,non-cooperative game can be used. In this paper,by improving the K-G algorithm of power control,an power control game algorithm based on the comprehensive cost function is proposed,and the new algorithm realizes non-cooperative game control of cognitive users’ transmit power. Then the existence and uniqueness of the Nash equilibrium solution of the utility function are proved for the proposed KG-CP algorithm. The simulation results have shown that,compared with the classical SINR balancing algorithm and the K-G algorithm,the proposed algorithm can significantly reduce cognitive users’ transmit power. And then compare and analyze the per-formance of the new algorithm under different numbers of users and different adjustment factors.%　　认知无线电网络中，认知用户在满足目标信干比前提下，为降低每个认知用户的发送功率，可采用非合作博弈的方法。通过对功率控制的K-G算法进行改进，提出了一种基于综合代价函数的功率控制博弈(KG-CP)算法，实现了认知用户发送功率的非合作博弈控制，并证明了KG-CP算法效用函数纳什均衡解的存在性和唯一性。仿真结果表明，与经典的SINR平衡算法及K-G算法相比，该算法能够明显降低认知用户的发送功率。最后，比较并分析了不同用户数目及不同调整因子下新算法的性能表现。