认知无线网中一种基于博弈论的低复杂度联合资源共享机制

A Mechanism for Low-complexity Joint Resources Sharing Based on Game Theory in Cognitive Radio Networks

在一类典型的认知无线网络中,多个次级用户通过支付费用竞争租用主用户授权频带的子带来传输信息。该文针对此类系统通过博弈论方法联合优化次级用户的发射功率和子带分配,及主用户的定价系数,同时最大化主用户和次级用户的收益。具体而言,该文基于逆向归纳法,将博弈问题分解为功率控制、子带分配和价格调整等3个耦合的子问题,并逐一求解,从而得到整个博弈的子博弈精炼纳什均衡。最后,该文基于理论分析结果,提出一种博弈均衡求解算法。仿真结果验证了该文的理论推导结果和该算法的有效性。

In a typical cognitive wireless network, multiple secondary users compete to rent for the sub-bands in the authorized spectrum of primary users to transfer data. This paper focuses on simultaneously maximizing the payoff of both primary users and secondary users by jointly optimizing transmit powers of secondary users, sub-band allocation of secondary users, and pricing coefficients of primary users. Specifically, based on backwards induction, this paper decomposes the whole game into three sub optimization problems, i.e., power control problem, sub-band allocation problem, and price adjustment problem. These problems are then solved one by one to obtain the sub-game perfect Nash equilibrium of the whole game. Finally, this paper proposes an algorithm to search for Nash equilibrium. Simulation results verify the theoretical deduction results and effectiveness of the proposed algorithm.