认知无线电中基于博弈论的功率控制算法的研究

发布时间：2018-04-18 08:52

本文选题：认知无线电 + 博弈论　；参考：《哈尔滨工业大学》2014年硕士论文

【摘要】：用户数量的增加给已有的频谱资源利用策略造成了较大的挑战。认知无线电技术的出现，则有效地提供了这个问题的解决方案。科研工作人员和学者们越来越发现此项技术对加大系统容量和提高频谱资源的利用效率有较为显著的作用。本文主要针对认知无线电技术中的功率控制技术进行了研究，利用博弈论的思想来优化用户的功率控制问题。由于处在认知无线电系统中的用户总是在和其他用户就某项具体性能指标进行博弈，所以通过博弈论的思想可以较为准确地对其进行分析。对应于不同的博弈模型算法，本文深入分析并就相应指标给出了仿真结果。本论文的研究内容如下：首先，本文对认知无线电中的相关内容进行研究。其中，，对其定义、模型、特点以及发展进行了研究分析；对其四种关键技术亦有阐述；针对认知无线电中的功率控制问题分三个方面进行了重点研究。其次，根据博弈论的概念和发展，对纳什均衡的概念和相应证明进行了研究；并就基于博弈论的功率控制的算法分两个方面进行研究，将其细化为基于非合作博弈的功率控制算法和引入代价函数的非合作博弈的功率控制算法；后通过比较两种不同的功控博弈模型来深入研究基于信干噪比代价函数的非合作博弈功控技术。最后，本文提出了一种全新的基于信干噪比代价函数的功控博弈效用函数，并给出了新效用函数纳什均衡存在性和唯一性的证明，后亦根据与经典功控博弈模型的对比进行了分析和仿真。较之经典博弈模型的效用函数，新效用函数通过数学上的设计，在不牺牲用户的信干噪比和算法复杂度的情况下，提高了各个用户的公平性指标。
[Abstract]:The increase in the number of users poses a great challenge to the existing strategies for the utilization of spectrum resources.The emergence of cognitive radio technology effectively provides a solution to this problem.More and more researchers and scholars find that this technology plays an important role in increasing the system capacity and improving the utilization efficiency of spectrum resources.In this paper, the power control technology in cognitive radio technology is studied, and the power control problem of users is optimized by using the idea of game theory.Since users in cognitive radio systems are always playing games with other users on a specific performance index, they can be accurately analyzed by the idea of game theory.Corresponding to different game model algorithms, this paper deeply analyzes and gives the simulation results on the corresponding indexes.The contents of this thesis are as follows:Firstly, this paper studies the related contents of cognitive radio.Among them, the definition, model, characteristics and development of its research and analysis; its four key technologies have also been elaborated; the cognitive radio power control problem is focused on three aspects.Secondly, according to the concept and development of game theory, the concept and corresponding proof of Nash equilibrium are studied, and the algorithm of power control based on game theory is studied in two aspects.The power control algorithm based on the non-cooperative game and the power control algorithm based on the cost function are classified into two parts: one is the non-cooperative game and the other is the power control algorithm based on the cost function.Then, by comparing two different power control game models, the non-cooperative game power control technology based on the cost function of signal-to-noise ratio is studied in depth.Finally, a new utility function of power-control game based on the cost function of signal-to-noise ratio is proposed, and the existence and uniqueness of the Nash equilibrium of the new utility function are proved.After that, the analysis and simulation are carried out according to the comparison with the classical power control game model.Compared with the utility function of the classical game model, the new utility function improves the fairness index of each user without sacrificing the signal-to-noise ratio and the complexity of the algorithm through mathematical design.
【学位授予单位】：哈尔滨工业大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TN925

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