认知无线电中频谱分配方法研究

摘要

In order to solve the problem of pricing game of licensed users in the spectrum allocation, method of Cognition Radio Spectrum Allocation ( GRSA) , based on Game Theory and parameter adjustments in control theory, will be the focus point of the proposal. The channel allocation model is regarded as identical to the difference duopoly market game model, utility function of cognitive user is given; Bertrand equilibrium and Cournot equilibrium as tools to bring forward a Cournot model-based profit function and a dynamic Bertrand model-based game algorithm of the channel pricing of licensed users. The proposal will farther analyze the relationships between stable Nash equilibrium and speed adjustment parameters, and propose a scheme, based on model of exponent function in the control theory, to solve the speediness of speed parameters adjustment and analysis, and arrive at the conclusion about the relationships between the Nash equilibrium point and the marginal cost. A higher channel rent is obtainable if the marginal cost is high and utilization of simulations on the availability of the scheme of using the exponential function model to solve speed parameters adjustment is feasible.%为了解决频谱分配中的授权用户定价博弈问题,提出了一种基于博弈论的认知无线电频谱分配方法,结合控制理论中参数整定的思想对该方法中的参数进行了整定.将信道分配模型等效为博弈论中的差别双寡头市场模型,给出了认知用户的效用函数;根据博弈论中的Bertrand、Cournot均衡理论,给出了基于Cournot模型的利润函数和基于Bertrand 模型的授权用户信道竞争价格的动态博弈算法.分析稳定的纳什均衡解与速率调整参数的关系,提出了利用控制理论中指数函数模型研究博弈过程速率参数快速整定和分析的方案,得出纳什均衡点和边际成本的关系,较高的边际成本可以获得高的出租信道价格,并通过仿真实验证明了指数函数模型整定速率参数方法的有效性.