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认知网络中基于纳什议价解的功率控制方法

DOI: 10.13190/jbupt.200903.77.yangchg, PP. 77-81

Keywords: 合作博弈,纳什议价解,功率控制,认知无线电

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Abstract:

本文基于合作博弈论中的纳什议价博弈理论,研究了认知无线电网络中的功率控制问题。提出一种基于信干扰比(Signal-to-InterferenceplusNoiseRatio,SINR)的效用函数模型,按照纳什定理基于该模型的合作功率控制算法获得的纳什议价解(NashBargainingSolution,NBS)可以保证整个系统的帕雷托最优性,同时通过证明纳什议价解实质是比例公平性的一般形式从而保证用户之间的公平性。在主要用户干扰温度限和认知用户的最大传输功率等限制条件下,按照纳什定理把基于NBS的功率控制问题转化为求解多重限制条件下的最优化问题,通过引入拉氏乘子求解该问题有效获得了各个认知用户的传输功率水平,实现SINR门限的要求。仿真结果表明本文算法有较快的收敛速度,同时较非合作算法相比可以有效改善认知用户之间的公平性和系统的整体性能。

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