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基于動態(tài)博弈論頻譜分配算法研究

發(fā)布時間:2018-04-19 16:43

  本文選題:認知無線電 + 頻譜分配 ; 參考:《燕山大學(xué)》2016年碩士論文


【摘要】:靜態(tài)固定的頻譜分配手段加之快速發(fā)展的無線技術(shù)對頻譜的極大需求導(dǎo)致了頻譜資源的匱乏,認知無線電技術(shù)通過“機會式接入頻段”能夠從根本上提高頻譜的利用率,博弈論作為一種有效的數(shù)學(xué)方法被廣泛應(yīng)用于認知無線電技術(shù)中。本文通過構(gòu)建博弈論模型來解決認知無線電網(wǎng)絡(luò)中的頻譜分配問題,主要工作包括以下三方面:針對一個主用戶與多個次用戶共存的認知無線電網(wǎng)絡(luò)中的頻譜分配問題,首先分析認知無線電網(wǎng)絡(luò)的分布特征構(gòu)建相應(yīng)的認知模型,根據(jù)認知模型建立以次用戶為參與者,頻譜購買量為博弈策略的古諾模型后,主用戶優(yōu)先制定頻譜價格,以不同頻段間的水平差異為考慮因素對經(jīng)典古諾模型中次用戶的效用函數(shù)加以改進,基于改進模型完成次用戶對頻譜購買量的博弈,得到穩(wěn)定的均衡購買量,最后通過仿真實驗分析改進算法的性能。針對多個主用戶與次用戶共存的認知無線電網(wǎng)絡(luò)中主用戶的頻譜定價問題,首先構(gòu)建認知無線電系統(tǒng)模型,將模型中所有次用戶看作整體,基于認知模型的特性構(gòu)建博弈論伯川德模型,主用戶為博弈參與者、頻譜價格為博弈策略,主用戶效用函數(shù)采用對數(shù)函數(shù)描述。主用戶之間通過博弈求得穩(wěn)定的納什均衡解,得出認知無線電網(wǎng)絡(luò)中多個主用戶同時存在的均衡頻譜定價機制。針對多個主用戶與次用戶共存的認知無線電網(wǎng)絡(luò)中次用戶之間的頻譜再分配問題,首先基于團組博弈思想將次用戶分組后構(gòu)建相應(yīng)的認知模型,其次根據(jù)認知模型建立博弈論伯川德模型,主用戶依據(jù)不同次用戶組的頻譜需求對頻譜價格展開博弈得出穩(wěn)定的均衡定價機制,最后次用戶組依據(jù)頻譜價格基于演進博弈思想對組內(nèi)所購頻譜再分配,直至次用戶組內(nèi)每個次用戶的收益均相等時停止博弈,得出次用戶組內(nèi)頻譜的有效分配策略。
[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.
【學(xué)位授予單位】:燕山大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2016
【分類號】:TN925;O225

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