基于纳什博弈论的功率控制策略及其牛顿迭代算法  

Newton iteration algorithm and power control strategy based on the Nash game

作　　者：汪筱阳[1] 吴德伟[1] 戴传金[1] 

机构地区：[1]空军工程大学信息与导航学院,陕西西安710077

出　　处：《电子设计工程》2013年第1期74-76,80,共4页Electronic Design Engineering

摘　　要：在某系统码相关测距中,每一个飞机的询问信号都可能会成为其他飞机的干扰。在有限的可用功率下,就需要一个可靠和高效的功率控制策略。纳什博弈(非合作博弈)理论是适合于功率控制问题的一种理论,是飞机在信噪比和功率利用之间选择一种均衡。文献[1]研究了这个问题的纳什博弈论策略,得到了一个非线性系统代数方程,并提出了一种定点迭代的功率控制算法。文中研究了一种新的基于牛顿迭代的功率控制策略来解决此类代数方程。仿真结果说明了牛顿迭代算法的效率明显提高。In ranging using code correlation of a system, each airplane＇s asking signal contributes to the interference seen by the other airplanes. Given limited available power, this creates a need for effective and efficient power control strategies. Nash game （Noncooperative game） is a theory which is suited to the power control problem and in which airplanes choose a tradeoff between signal-to-interference ratio （SIR） and power usage. Reference[l] studied the static Nash game formulation of this problem. The solution obtained led to a system of nonlinear algebraic equations and proposing a fixed-point iteration algorithm for power control. Here present a novel power control strategy based on the Newton iteration used to solve the corresponding algebraic, equations. Simulation results demonstrate the efficiency of Newton iteration algorithm.

关 键 词：码相关测距 功率控制 纳什均衡 牛顿迭代 

分 类 号：TN966[电子电信—信号与信息处理] TP391.9[电子电信—信息与通信工程]