基于纳什均衡的D2D通信功率控制博弈算法

为了减轻D2D通信在资源复用模式下的互干扰问题，提升蜂窝网络均衡性能收益，提出一种基于纳什均衡的功率控制博弈算法。算法中将互干扰用户间的功率控制过程描述为静态博弈模型，用户之间根据最小化代价函数的博弈决策，通过多步迭代调节发射功率，使系统收敛至纳什均衡的优化状态。在用户代价函数设计中，综合考虑了能耗及传输速率影响，同时给出了博弈算法纳什均衡存在性以及收敛性的证明。仿真实验表明，在最优响应策略及能耗因子的有效约束下，互干扰用户更理智的选择发射功率，系统拥有较好均衡性收益的同时能耗进一步降低。

Nash Game Power Control Algorithm for D2D Communication Underlaying Cellular Networks

In order to alleviate the mutual interference of D2D communication underlaying cellular with resource sharing mode, this paper proposed a power control game based on Nash equilibrium to improve the performance for mix cellular network. In the algorithm, the power control strategy between users is abstracted to a static game, and the players iteratively select transmit power through minimizing the cost function based on best response strategy. As a result that, users in the system benefit from the fix point called Nash Equilibrium that power control game coverage to. For the user cost function design, considering the impact of energy consumption and transmission rate, and also prove the existence and convergence in the iterative algorithm of Nash equilibrium. Simulation results show that, the users select the transmit power in a rational way under the optimal response strategy and the dynamic energy factor, thus the system has better equilibrium performance gain and energy efficiency.