Ad hoc系统中基于中断概率边界的博弈功率控制算法

Power control game based on outage bound probabilities in Ad hoc systems

通过对瑞利衰落信道下Ad hoc系统中断概率的分析,给出了中断概率的上界和下界,并以此为依据设计出结构类型相似的2个博弈功率控制函数,从而求得中断概率最小时的功率发射值。同时证明了所设计的2个博弈功率控制函数的纳什均衡存在且唯一,并给出了获得纳什均衡的功率更新算法。仿真结果表明,提出的算法能够有效地逼近中断概率,且较DPC算法而言,可以通过设置不同的功率参数因子而获得更大的灵活性。

By analyzing the outage probability of the Ad hoc systems on Rayleigh fading channel, the upper bound and lower bound of the outage probability were given in this paper. Then two power control functions were designed based on these two bounds to seek the minimum transmit power for minimum upper bound and lower bound. The existence and uniqueness of the two functions were proved and the power updating algorithms proposed. In the end, the performance analysis of the convergence and power consumer of these two functions was shown by simulation. It can be found that if the power cost factor is set to the critical point at which the convergent property of LC （Cost function based on lower bound called LC for simplicity） can be sustained, then the minimum outage probability can be obtained and this approach can reduce the complexity better than using outage probability to design the cost function directly.