博弈论在无线通信中的应用专题讲座(二) 第3讲 D2D网络中一种非合作博弈功率控制方法  

Power Control Method Based on Noncooperative Game Theory in D2D Networks

作　　者：陈华梁[1] 吴丹[1] 田辉[1] 王晓燕 杜家华 

机构地区：[1]解放军理工大学通信工程学院 [2]广州军区空军装备部 [3]中国人民解放军71960部队

出　　处：《军事通信技术》2013年第4期82-88,共7页Journal of Military Communications Technology

基　　金：国家自然科学基金资助项目(61001107;61301163);江苏省自然科学基金资助项目(BK20130067)

摘　　要：蜂窝网络引入端到端直通链路构成D2D(Device-to-Device)网络,D2D用户可复用蜂窝用户的频率进行通信,同时,D2D链路较好的信道质量可以使资源利用效率提高、网络覆盖范围扩大。然而,由于D2D链路的引入,多小区蜂窝网中同时存在小区间以及D2D链路与蜂窝链路间的同道干扰,干扰环境变得更加复杂。针对这一复杂的干扰环境,文中采用带有定价机制的非合作博弈理论来对蜂窝用户和D2D用户同时进行通信时的功率控制问题进行建模和分析。首先设计了一种效用函数,将多小区D2D网络的功率控制问题建模为带有定价机制的非合作博弈模型,并以纳什均衡NE(Nash Equilibrium)为功率控制博弈的结果,通过论证纳什均衡的存在性和唯一性,保证了功率控制问题解的唯一性,紧接着设计了一种能够收敛到NE点的分布式算法,最后对博弈模型下的功率控制问题进行了数值仿真。仿真结果显示,博弈模型的收敛速度与所设计的算法控制因子的对数近似成线性关系;在基于带有定价机制的非合作功率控制博弈模型下,相较于采用最大发送功率,纳什均衡解所对应的发送功率策略可获得更优的系统性能。A cellular network becomes a Device-to-Device （D2D） network when D2D links are introduced to the network. D2D terminals reuse the frequency band of the cellular terminals, and the resource utilization and network coverage can be improved as the channel of the D2D links is in a good condition. After introducing the D2D links to the cellular networks, there exists cochannel interference among different cellular links and D2D links, and the interference environment in the network becomes much more complex. Aiming at the complex interference environment, a non-cooperative game with pricing was used and the power control in D2D networks was analyzed. Firstly, a utility function was designed and the power control problem in the multi-cell cellular network with D2D links was modeled to a non-cooperative game. Then the uniqueness of the solution to the power control problem was shown by proving the existence and uniqueness of the Nash equilibrium of the game. After that, a distributed iterative algorithm was designed, which can lead the transmit power levels of all the game players to the unique NE point. Finally, some numerical results were presented to depict the game model and demonstrate the algorithm. The numerical results show that the convergence speed of the algorithm is linear with the logarithm of an algorithm control factor. And compared to the scheme of using maximum transmit power levels, the NE point of the game can obtain better performance for all the players in the game model.

关 键 词：端到端网络 功率控制 博弈论 纳什均衡 

分 类 号：TN929.5[电子电信—通信与信息系统]