摘要： 针对以用户为中心的超密集网络（UUDN）信号干扰严重及功耗过大的问题，提出一种双层Stackelberg博弈功率控制（TSGPC）算法。建立UUDN上行功率控制系统模型并采用TSGPC算法为服务用户与协作用户设置合适的收益函数，从理论上推导协作用户最优发射功率及最佳惩戒因子的纳什均衡解，使所有用户收益达到最大，同时证明纳什均衡解的存在性与唯一性，并验证TSGPC算法的有效性。仿真结果表明，该算法在保证通信质量的前提下，能使协作用户的信干噪比较SGUPPC、PCBSW等算法更高，系统吞吐量较Nash算法上升5.58%，有效减少了UUDN用户间干扰，系统吞吐量与容量得到明显提升。

关键词: 以用户为中心的超密集网络, Stackelberg博弈, 功率控制, 非合作博弈, 纳什均衡

Abstract: To address the problem of serious signal interference and excessive power consumption in User-Centric Ultra Dense Network(UUDN),this paper proposes a Two-Layer Stackelberg Game Power Control(TSGPC) algorithm.The model of UUDN uplink power control system is established and the TSGPC algorithm is used to set the appropriate revenue functions for service users and cooperative users.The Nash equilibrium solution of the optimal transmit power and the best punishment factor of cooperative users are derived theoretically,so that the benefits of all users can be maximized.At the same time,the existence and uniqueness of the Nash equilibrium solution are proved and the effectiveness of TSGPC algorithm is verified.Simulation results show that, on the premise of ensuring the communication quality,the proposed algorithm significantly improves the Signal to Interference plus Noise Ratio(SINR) of cooperative users compared with SGUPPC,PCBSW and other algorithms,and increases the system throughput by 5.58% compared with the Nash algorithm.The algorithm significantly reduces the interference between UUDN users,and significantly improves the system throughput and capacity.

Key words: User-Centric Ultra Dense Network(UUDN), Stackelberg game, power control, non-cooperative game, Nash equilibrium

中图分类号: 

• TN929.5