基于动态博弈论频谱分配算法研究

发布时间：2018-04-19 16:43

本文选题：认知无线电 + 频谱分配　；参考：《燕山大学》2016年硕士论文

【摘要】：静态固定的频谱分配手段加之快速发展的无线技术对频谱的极大需求导致了频谱资源的匮乏,认知无线电技术通过“机会式接入频段”能够从根本上提高频谱的利用率,博弈论作为一种有效的数学方法被广泛应用于认知无线电技术中。本文通过构建博弈论模型来解决认知无线电网络中的频谱分配问题,主要工作包括以下三方面:针对一个主用户与多个次用户共存的认知无线电网络中的频谱分配问题,首先分析认知无线电网络的分布特征构建相应的认知模型,根据认知模型建立以次用户为参与者,频谱购买量为博弈策略的古诺模型后,主用户优先制定频谱价格,以不同频段间的水平差异为考虑因素对经典古诺模型中次用户的效用函数加以改进,基于改进模型完成次用户对频谱购买量的博弈,得到稳定的均衡购买量,最后通过仿真实验分析改进算法的性能。针对多个主用户与次用户共存的认知无线电网络中主用户的频谱定价问题,首先构建认知无线电系统模型,将模型中所有次用户看作整体,基于认知模型的特性构建博弈论伯川德模型,主用户为博弈参与者、频谱价格为博弈策略,主用户效用函数采用对数函数描述。主用户之间通过博弈求得稳定的纳什均衡解,得出认知无线电网络中多个主用户同时存在的均衡频谱定价机制。针对多个主用户与次用户共存的认知无线电网络中次用户之间的频谱再分配问题,首先基于团组博弈思想将次用户分组后构建相应的认知模型,其次根据认知模型建立博弈论伯川德模型,主用户依据不同次用户组的频谱需求对频谱价格展开博弈得出稳定的均衡定价机制,最后次用户组依据频谱价格基于演进博弈思想对组内所购频谱再分配,直至次用户组内每个次用户的收益均相等时停止博弈,得出次用户组内频谱的有效分配策略。
[Abstract]:The static fixed spectrum allocation and the rapid development of wireless technology lead to the scarcity of spectrum resources. Cognitive radio technology can fundamentally improve the spectrum efficiency through "opportunistic access frequency band".As an effective mathematical method, game theory is widely used in cognitive radio technology.In this paper, we construct a game theory model to solve the spectrum allocation problem in cognitive radio networks. The main work includes the following three aspects: the spectrum allocation problem in cognitive radio networks where a primary user and multiple secondary users coexist.Firstly, the distribution characteristics of cognitive radio network are analyzed to construct the corresponding cognitive model. According to the cognitive model, a Cournot model with secondary users as participants and spectrum purchase as game strategy is established, and the primary user sets the spectrum price first.The utility function of the secondary user in the classical Cournot model is improved by taking the level difference between different frequency bands as a consideration. Based on the improved model, the second user game on the frequency spectrum purchase amount is completed, and the stable equilibrium purchase amount is obtained.Finally, the performance of the improved algorithm is analyzed by simulation experiments.Aiming at the problem of spectrum pricing of primary users in cognitive radio networks where multiple primary and secondary users coexist, a cognitive radio system model is constructed, in which all secondary users are considered as a whole.Based on the characteristics of cognitive model, the game theory Bertrand model is constructed. The primary user is a game participant, the spectrum price is a game strategy, and the primary user utility function is described by a logarithmic function.The stable Nash equilibrium solution is obtained by game between primary users, and the equalization spectrum pricing mechanism of multiple primary users in cognitive radio networks is obtained.Aiming at the problem of spectrum redistribution between secondary users in cognitive radio networks where multiple primary users and secondary users coexist, a corresponding cognitive model is constructed based on the idea of group game to group secondary users into groups.Secondly, according to the cognitive model, the game theory Bertrand model is established. The main user games the spectrum price according to the spectrum demand of different secondary user groups to obtain a stable equilibrium pricing mechanism.According to the theory of spectrum price and evolution game, the last user group redistributes the spectrum purchased in the group until the income of each secondary user in the secondary user group is equal and the game is stopped, and the effective allocation strategy of spectrum in the secondary user group is obtained.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TN925;O225

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