本文關(guān)鍵詞：基于隨機幾何的異構(gòu)蜂窩網(wǎng)絡(luò)性能分析　出處：《中國科學(xué)技術(shù)大學(xué)》2016年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 多層異構(gòu)蜂窩網(wǎng)絡(luò) 隨機幾何 點過程理論 泊松點過程 非泊松點過程 近似泊松方法 信干比分布 可達速率 網(wǎng)絡(luò)能效 區(qū)域頻譜效率

【摘要】：爆炸性移動數(shù)據(jù)業(yè)務(wù)的增長使得傳統(tǒng)同構(gòu)蜂窩網(wǎng)絡(luò)結(jié)構(gòu)難以應(yīng)對數(shù)據(jù)量的沖擊以及用戶對于通信質(zhì)量的要求,而異構(gòu)蜂窩網(wǎng)絡(luò)架構(gòu)則廣泛被認為是應(yīng)對該挑戰(zhàn)的有效方式之一。蜂窩網(wǎng)絡(luò)密集化、多元化和隨機化的異構(gòu)趨勢導(dǎo)致網(wǎng)絡(luò)架構(gòu)愈發(fā)復(fù)雜,從而使得傳統(tǒng)的網(wǎng)絡(luò)性能評估方法因其過于復(fù)雜或相關(guān)假設(shè)過于理想而無法適用于異構(gòu)蜂窩網(wǎng)絡(luò)。然而,對網(wǎng)絡(luò)進行相應(yīng)的性能評估是決策網(wǎng)絡(luò)參數(shù)設(shè)定和引入新型網(wǎng)絡(luò)部署和技術(shù)的前提條件。因此,找尋一個有效且便于分析的網(wǎng)絡(luò)性能評估方法是當(dāng)前異構(gòu)蜂窩網(wǎng)絡(luò)研究領(lǐng)域中亟待解決的問題之一。目前隨機幾何理論是廣泛用于建模和分析網(wǎng)絡(luò)的重要數(shù)學(xué)工具,且所得理論結(jié)果與實際仿真結(jié)果切合。因此,本文考慮不同類型點過程建模的異構(gòu)蜂窩網(wǎng)絡(luò)場景,利用隨機幾何相關(guān)理論分析不同的關(guān)鍵網(wǎng)絡(luò)性能指標(biāo),期望給予可分析性較高的理論結(jié)果,從而在理論上了解網(wǎng)絡(luò)技術(shù)和參數(shù)對于網(wǎng)絡(luò)性能指標(biāo)的影響。首先,考慮最簡單的泊松點過程所建模的異構(gòu)蜂窩網(wǎng)絡(luò),分析其最基本的性能指標(biāo)信干比分布和可達速率以及更全面反映網(wǎng)絡(luò)性能的指標(biāo),如區(qū)域頻譜效率和網(wǎng)絡(luò)能效。由于模型的可分析性較高,本研究考慮更為實際的多信道環(huán)境下的中繼異構(gòu)蜂窩網(wǎng)絡(luò),采用泊松多層異構(gòu)蜂窩網(wǎng)絡(luò)模型對基站和中繼的空間分布進行建模,并給出網(wǎng)絡(luò)性能的理論分析,進而研究站點密度等網(wǎng)絡(luò)參數(shù)對于網(wǎng)絡(luò)性能的影響。在該模型下,本文推導(dǎo)了宏用戶和中繼用戶的覆蓋率及相應(yīng)的平均可達速率,并進一步推導(dǎo)出區(qū)域頻譜效率和網(wǎng)絡(luò)能效的理論閉式表達式。利用齊次泊松點過程的獨立稀釋特性,本文通過以一定概率去關(guān)閉或者開啟站點以建模站點密度的動態(tài)特性,從而探究網(wǎng)絡(luò)性能與站點密度之間的關(guān)系。結(jié)果顯示中繼異構(gòu)蜂窩網(wǎng)絡(luò)的性能要明顯高于傳統(tǒng)單層蜂窩網(wǎng)絡(luò),其中隨著站點密度的增加,區(qū)域頻譜效率隨之增加而網(wǎng)絡(luò)能效先增加后減小,因而站點密度對于區(qū)域頻譜效率和能效的影響存在一定折中。簡單網(wǎng)絡(luò)模型所分析的結(jié)果與方法為更復(fù)雜一般性的模型分析提供了基本的理論結(jié)果和參考方法。其次,將建模異構(gòu)蜂窩網(wǎng)絡(luò)的空間點過程推廣到一般性的非泊松點過程,提出有效且簡單的分析方法,進一步推廣更為實際的非泊松模型在網(wǎng)絡(luò)研究上的應(yīng)用,從而得出更具有實際意義的理論結(jié)果。以最基本的性能指標(biāo)信干比分布為研究目標(biāo),本文提出兩種適用于非泊松多層網(wǎng)絡(luò)的泊松近似方法,以給出信干比分布較為精確卻簡單易分析的理論結(jié)果,如此可兼顧模型的精確性和可分析性。本文首先對一般性異構(gòu)蜂窩網(wǎng)絡(luò)建立了每層泊松近似方法,并基于每層泊松近似方法給出適用于所有路損指數(shù)相等的場景中的有效增益泊松近似方法,即推導(dǎo)出異構(gòu)蜂窩網(wǎng)絡(luò)的有效增益的具體表達式,如此相應(yīng)的信干比分布則可以通過以泊松網(wǎng)絡(luò)簡單的信干比分布為基礎(chǔ),在信干比門限上平移有效增益即可。此外,兩種泊松近似方法也可用來刻劃一般性異構(gòu)蜂窩網(wǎng)絡(luò)的信干比分布的拖尾特性。更進一步地,本文推導(dǎo)了在β-Ginibre和泊松點過程所組成的雙層異構(gòu)蜂窩網(wǎng)絡(luò)場景下精確的信干比分布,通過在精確度和表達式簡易性兩個方面比較了精確理論結(jié)果和近似結(jié)果以說明所提近似方法的有效性。結(jié)果證明所提的兩種方法可以給出簡單且精確的信干比近似分布,因此本研究為進一步分析其他更能反映網(wǎng)絡(luò)性能提供了基礎(chǔ)分析結(jié)果。最后,在非泊松多層網(wǎng)絡(luò)模型下,利用近似信干比分布,進一步考慮其他更能反映網(wǎng)絡(luò)性能的指標(biāo)以及相關(guān)技術(shù)對網(wǎng)絡(luò)性能的影響。同樣考慮區(qū)域頻譜效率和網(wǎng)絡(luò)能效兩種性能指標(biāo),并基于由泊松近似方法所得來的近似信干比分布研究一般性異構(gòu)蜂窩網(wǎng)絡(luò)場景下的頻譜分配策略對于這兩種性能的影響,以確定不同頻譜分配策略在網(wǎng)絡(luò)中的應(yīng)用范圍。分別以最大化這兩種性能指標(biāo)為目標(biāo),優(yōu)化各自在一定頻譜策略下各層所需頻譜大小和各層信干比門限。首先考慮頻譜分隔策略,并形成相應(yīng)的目標(biāo)性能優(yōu)化問題,在此基礎(chǔ)上引入不同的頻譜效率限制條件。該優(yōu)化問題可等價分解為兩個子問題,其中一個是獲取最優(yōu)的信干比門限值以最大化相應(yīng)的頻譜效率,另一個是基于最優(yōu)信干比門限給出最優(yōu)的層間頻譜分配策略以最大化區(qū)域頻譜效率或網(wǎng)絡(luò)能效。隨后,利用異構(gòu)蜂窩網(wǎng)絡(luò)的有效增益泊松近似方法,本文證明了頻譜共享優(yōu)化問題可以轉(zhuǎn)化為頻譜分隔優(yōu)化問題,因此所提的解決方案亦適用于頻譜共享問題。此外,本文比較了泊松模型和非泊松模型在采用不同頻譜分配策略下的網(wǎng)絡(luò)性能,且發(fā)現(xiàn)在兩種模型下這兩種性能隨著網(wǎng)絡(luò)參數(shù)的變化呈現(xiàn)類似的變化趨勢。本文研究結(jié)果為研究更為復(fù)雜多層異構(gòu)蜂窩網(wǎng)絡(luò)以及評估新技術(shù)新方法對于網(wǎng)絡(luò)性能的影響提供了一種可行性較高的理論方法,具有重要的理論指導(dǎo)意義和實際應(yīng)用價值。
[Abstract]:The explosive growth of mobile data services makes the traditional cellular network structure is difficult to cope with the isomorphism of the amount of data and the impact of user requirements for the quality of communication, and heterogeneous cellular network architecture is widely considered to be one of the effective ways to cope with the challenges. The cellular network intensive, heterogeneous diversification and randomization leads to more complex network architecture, which makes the the traditional method of network performance evaluation because it is too complex or too ideal assumptions are not suitable for heterogeneous cellular networks. However, to evaluate the performance of the corresponding network is a prerequisite for making network parameter setting and the introduction of a new network deployment and technology. Therefore, looking for an effective and easy to analyze network performance evaluation method is one of the urgent heterogeneous cellular network in the research field. At present the random geometry theory is widely used in modeling The network and analysis of important mathematical tools, and the simulation results and the theoretical results fit. Therefore, we consider heterogeneous cellular network scenarios for different types of process modeling, the key performance indexes of different network analysis using stochastic geometry theory, theoretical analysis results can be expected to give high, so as to theoretically understand network technology and effect of parameters on the network performance. Firstly, considering the heterogeneous cellular network the most simple Poisson process modeling, analysis of the basic performance index of SINR distribution and achievable rate and more fully reflect the network performance indicators, such as regional spectrum efficiency and network efficiency. Due to the analysis of the model is high. This study considers the relay heterogeneous cellular network multi channel environment is more practical under the multi heterogeneous cellular networks using spatial Poisson model to the base station and the relay. The distribution model, and analyzed the network performance theory, then studies the network parameters for site density affect the performance of the network. In this model, this paper deduces the coverage of macro users and relay users and the corresponding average rate, and further deduce the area spectral efficiency and energy efficiency of the network theory of closed expression the use of independent dilution characteristics. The homogeneous Poisson point process, this paper with a certain probability to close or open the site to build the dynamic model of site density, so as to explore the relationship between network performance and site density. The results show that the performance of the relay heterogeneous cellular network are significantly higher than the traditional single cellular network, which increased with the site density. Area spectral efficiency is increased and the network efficiency increased first and then decreased, thus the site density influences on regional spectral efficiency and energy efficiency of the existence of a Make compromise. Provide theoretical results and reference method for basic results of simple network model and analysis method for more complex general model. Secondly, the spatial modeling for heterogeneous cellular networks is extended to non Poisson point process of general process, put forward analysis method is effective and simple, to further promote more application non Poisson model in the actual network research, thus obtains the theoretical result has more practical significance. With the performance index of the basic stem ratio distribution channel as the research object, this paper puts forward two kinds of Poisson for non Poisson multilayer neural network approximation method to give the signal to interference ratio distribution theory results more accurate but simple and easy to analyze so, can take into account the model accuracy and analysis. Firstly, the general heterogeneous cellular network established for each layer Poisson approximation method based on Poisson approximation method for each layer Suitable for effective gain all the path loss index equal to the Poisson approximation method in the scene, the specific expression of effective gain is presented for heterogeneous cellular networks, so the corresponding SNR distribution by Poisson network simple SINR distribution based on stem gate limit in the letter translation can be effective gain. In addition, two kinds of Poisson approximation methods are also used to characterize the general nature of heterogeneous cellular network SNR smear characteristic distribution. Further, this paper presents the precise double channel heterogeneous cellular network scene composed of beta -Ginibre and Poisson point process under dry ratio distribution, the effectiveness of the proposed method in the approximation two accuracy and simple expression comparison of precise theoretical results and approximate results to illustrate. Results show that the two proposed methods can give a simple and accurate approximation for SNR distribution. This research for the further analysis of other more can reflect the network performance provides the basis of the analysis results. Finally, the non Poisson multilayer network model, using approximate SINR distribution, further consider other more can reflect the influence of network performance indicators and related technology on the performance of the network. Also consider the area spectral efficiency and network energy efficiency two the performance index, and based on the approximate Poisson approximation method to the letter by the effect of general heterogeneous cellular network scenarios than the distribution of spectrum allocation strategy for the two kinds of performance, to determine the scope of application of different spectrum allocation strategy in the network respectively. In order to maximize the two performance targets and their optimization in certain frequency strategy of each layer and each layer to the size spectrum SNR threshold. We first consider the spectrum separation strategy, and the formation of the target performance of the corresponding optimization problem, in On the basis of introducing limited spectrum efficiency of different conditions. The optimization problem can be decomposed into two sub problems, one of which is to obtain the optimal SNR threshold to maximize the spectral efficiency accordingly, another is the optimal SNR threshold gives the optimal spectrum allocation strategy between layers to maximize regional spectrum the efficiency or the network energy efficiency. Based on then, effective use of heterogeneous cellular networks gain Poisson approximation method, we prove that the spectrum sharing optimization problem can be transformed into a separate spectrum optimization problem, so the solution proposed is also applicable to the spectrum sharing problem. In addition, this paper compares the Poisson model and non Poisson model in network performance with different spectrum the distribution strategy, and found that under the two models of the two performance with the change of network parameters showed similar trend. The results of this study are to study more complex A multi-layer heterogeneous cellular network and evaluation of new technologies and new methods for network performance provide a highly feasible theoretical method, which has important theoretical significance and practical application value.

【學(xué)位授予單位】：中國科學(xué)技術(shù)大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2016
【分類號】：TN929.53

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本文編號：1416325