一种基于博弈论的联合功率和速率控制算法

A Novel Control Algorithm for Uplink in Multi-Rate CDMA System with Power and Transmission Rate Jointly Considered

提出了一种基于博弈论的适用于CDMA系统上行链路的分布式联合功率和速率控制算法。算法假定每个移动台都能实施联合功率和速率控制,所有移动台是非合作性的。移动台的目标是根据自己当前无线信道,使自己收益(payoff)最大。仿真结果表明:文中算法性能优于固定速率功控算法,并且收敛到唯一的纳什均衡点。

Aim. Ref. 3 authored by Xiao et al dealt with the same problem but it did not consider transmission rate. In the full paper, we explain our algorithm in some detail. In this abstract, we just add some pertinent remarks to listing the two topics of explanation. The first topic is： the model of the algorithm. The second topic is.. the joint control of power and transmission rate. Its three subtopics are： utility function （subtopic 2.1）, pay-off function （subtopic 2.2） and the joint control of power and transmission rate （subtopic 2.3）. In subtopic 2.3, we apply the utility function and the game theory to the study of our control algorithm that is suitable for the uplink of a multi-rate CDMA system. In the algorithm, all the CDMA users are not cooperative and each of them aims at gaining its own maximum benefit. The algorithm uses the Kuhn-Tucker necessary conditions to seek the solutions of eq. （7） in the full paper for five different scenarios. In order to keep the paper short, we state without proof that the algorithm converges to the one and only Nash equilibrium point. Finally, we performed numerical simulations of the algorithm to verify its effectiveness. The simulation results, shown Figs. 2 through 3 in the full paper, indicate preliminarily that the CDMA system reaches the Nash equilibrium. The simulation results also demonstrate that our algorithm performs better than the algorithm that uses fixed power and transmission rate.