基于合作博弈的多信道认知无线网络中的频谱共享算法

Spectrum sharing algorithm in multi-channel cognitive radio network based on cooperative game theoretic

采用合作博弈对多信道认知无线网络中的频谱共享问题进行了建模分析,提出了次用户在各信道上的信干噪比乘积作为合作博弈的效用函数。次用户在各信道上保证对主用户的干扰小于一定门限的要求下,通过最大化各自效用函数的乘积来进行功率分配。由于最大化次用户效用函数的乘积问题是非凸的,通过变量替换将其转化为了一个等价的凸优化问题,利用该凸优化问题的对偶分解,提出了一种次用户间的频谱共享算法。仿真结果表明,所提算法在次用户和速率与公平性之间进行了有效折中。

Spectrum sharing problem in multi-channel cognitive radio networks was modeled as a cooperative game. A utility function based on the product of the signal to interference plus noise ratio （SINR） was proposed. The power allocation of secondary users was determined by maximizing the product of the utility function to ensure that the inter- ference power to the primary user is under a certain threshold in each channel. As the problem of maximization the prod- uct of the utility function of secondary users was non-convex, it was transformed into an equivalent convex optimization problem by variable alternation. A spectrum sharing algorithm was proposed based on the dual decomposition of the convex optimization problem. Simulation results show that the proposed algorithm achieves an effective compromise between the sum rate and the fairness among the secondary users.