Popescu Dimitrie C, Rawat Danda B, Popescu Otilia, Saquib Mohamad
Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, VA 23529, USA.
IEEE Trans Syst Man Cybern B Cybern. 2010 Jun;40(3):675-82. doi: 10.1109/TSMCB.2009.2033704. Epub 2009 Nov 10.
Game theory has emerged as a new mathematical tool in the analysis and design of wireless communication systems, being particularly useful in studying the interactions among adaptive transmitters that attempt to achieve specific objectives without cooperation. In this paper, we present a game-theoretic approach to the problem of joint transmitter adaptation and power control in wireless systems, where users' transmissions are subject to quality-of-service requirements specified in terms of target signal-to-interference-plus-noise ratios (SINRs) and nonideal vector channels between transmitters and receivers are explicitly considered. Our approach is based on application of separable games, which are a specific class of noncooperative games where the players' cost is a separable function of their strategic choices. We formally state a joint codeword and power adaptation game, which is separable, and we study its properties in terms of its subgames, namely, the codeword adaptation subgame and the power adaptation subgame. We investigate the necessary conditions for an optimal Nash equilibrium and show that this corresponds to an ensemble of user codewords and powers, which maximizes the sum capacity of the corresponding multiaccess vector channel model, and for which the specified target SINRs are achieved with minimum transmitted power.
博弈论已成为无线通信系统分析与设计中的一种新数学工具，在研究试图在无协作情况下实现特定目标的自适应发射机之间的相互作用时特别有用。在本文中，我们针对无线系统中的联合发射机自适应和功率控制问题提出一种博弈论方法，其中用户传输受根据目标信干噪比（SINR）指定的服务质量要求约束，并且明确考虑了发射机与接收机之间的非理想矢量信道。我们的方法基于可分离博弈的应用，可分离博弈是一类特定的非合作博弈，其中参与者的成本是其战略选择的可分离函数。我们正式阐述了一个可分离的联合码字与功率自适应博弈，并从其子博弈（即码字自适应子博弈和功率自适应子博弈）的角度研究其性质。我们研究了最优纳什均衡的必要条件，并表明这对应于一组用户码字和功率，该组能使相应多址矢量信道模型的和容量最大化，并且能以最小发射功率实现指定的目标SINR。
