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研究生: 葉俊麟
Yeh, Jun-Lin
論文名稱: 功率歸一化的高密度網路容量最大化方法之研究
Power Normalized Capacity Maximization in UDNs
指導教授: 陳曉華
Chen, Hsiao-Hwa
學位類別: 碩士
Master
系所名稱: 工學院 - 工程科學系
Department of Engineering Science
論文出版年: 2020
畢業學年度: 108
語文別: 英文
論文頁數: 306
中文關鍵詞: 超密集網路聯合傳輸能量效益凸優化線性規劃
外文關鍵詞: Ultra Dense Network (UDN), Joint transmission (JT), Energy efficiency, Convex optimization Linear programming
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  • 近年來,聯合傳輸技術被提出且認為是改進通道容量以及能量效率的有效方式。我們審視了與聯合傳輸有關的能量效益的論文。在先前的論文中已經提出了關於於聯合傳輸的能量效益最佳化問題。在本論文中,我們制訂並解決了聯合傳輸能量效益最佳化問題, 並且考慮了非同步聯合傳輸對性能的影響。我們的最佳化目標是小型基地台和一般蜂巢式網路用戶在最佳配對下的整體系統能量效益。在每個迴圈內,最佳化問題分為功率分配階段和用戶選擇階段。在功率分配階段,可以將目標函數轉換為近似的凹函數, 透過凸優化算法尋求最優功率。在用戶選擇階段,由於約束矩陣可以被證明是全單模矩陣, 因此整數規劃問題可以被鬆弛成線性規劃問題並且可以透過有效且具有效率的的單純形法來解決。

    Joint Transmission (JT) has proposed as an effective method to increase channel capacity. We survey papers about EE related to joint transmission. The EE optimization problem of joint transmission has proposed in previous papers. In this thesis, we develop and solve the EE optimization problem for joint transmission, and then we consider the impact of asynchronous joint transmission on performance. Our optimization goal is the overall energy efficiency under the best pairing between the small base station and the UE. In each iteration, the optimization problem is divided into power allocate stage and UE choose stage. In the power allocate stage, the objective functions are transformed into the approximation concave function, we can use convex optimization method to solve. In UE choose the stage, since the constraint matrix can be proved as a totally unimodular (TU) matrix, the integer programming (IP) problem is relaxed to a linear programming (LP) problem
    and can be solved by the effective and efficient simplex.

    摘要vii Abstract ix Acknowledgements xi Table of Contents xiii List of Figures xvii List of Tables xxxvii List of Abbreviations xxxix List of Symbols xliii Dedication xlv 1 Introduction 1 1.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Related Works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Thesis Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Overview of UDN Communications and Related Technology 9 2.1 Introduction to Ultra-Dense Networks Architecture . . . . . . . . . . . . . . 10 2.2 Introduction to UDN Joint Transmission Mechanism . . . . . . . . . . . . . 12 2.3 UDN Power Control and Interference Management . . . . . . . . . . . . . . 13 2.4 Small cell Base Station Switch Mechanism . . . . . . . . . . . . . . . . . . 14 3 Assumptions and Definitions 17 3.1 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4 UDN Communications of Base Station Sleeping with Non Multicell Cooperative Transmission 21 4.1 UDN Sleep Communications Scenario System Model . . . . . . . . . . . . . 22 4.1.1 Channel Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 4.1.2 Power Consumption Model of Base station . . . . . . . . . . . . . . 25 4.2 Power Normalized Capacity Metric . . . . . . . . . . . . . . . . . . . . . . 26 4.3 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.4 Transformation of the Power Normalized Capacity Optimization Problem and Iterative Procedure of Problem Solving . . . . . . . . . . . . . . . . . . 29 4.4.1 Power Allocate Stage of the Power Normalized Capacity Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.4.2 SBS Choose Selection of the Power Normalized Capacity Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Simplex Method . . . . . . . . . . . . . . . . . . . . . . . . 45 4.5 Simulation Results and Performance Evaluation . . . . . . . . . . . . . . . . 48 4.5.1 Major Parameters and Simulation Scenarios . . . . . . . . . . . . . . 48 4.5.2 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 5 UDN Communications of Base Station with Multicell Joint Transmission 73 5.1 Joint Transmission Classification . . . . . . . . . . . . . . . . . . . . . . . . 73 5.1.1 Fixed Serving Set Cooperative Transmission . . . . . . . . . . . . . 74 5.1.2 Joint Transmission Frame Allocate . . . . . . . . . . . . . . . . . . . 77 5.2 UDN Communications of Base Station with Multicell Cooperative Transmission Scenario and System Model . . . . . . . . . . . . . . . . . . . . . . 79 5.2.1 Channel Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 5.2.2 SBSs Cluster Model Based with Distance Threshold . . . . . . . . . 81 5.3 Synchronous Joint Transmission Systems . . . . . . . . . . . . . . . . . . . 82 5.3.1 Power Consumption Model of Small Base Station . . . . . . . . . . . 83 5.3.2 Power Normalized Capacity Metric . . . . . . . . . . . . . . . . . . 84 5.3.3 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 85 5.3.4 Transformation of the Power Normalization Capacity Optimization Problem and Iterative Procedure of Problem Solving . . . . . . . . . 87 5.3.5 Power Allocate Stage of the Power Normalization Capacity Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 5.3.6 SBS Choose Stage of the Power Normalization Capacity Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Simplex Method . . . . . . . . . . . . . . . . . . . . . . . . 102 5.4 Space Time Block Code Scheme for Asynchronous Joint Transmission Systems 105 5.4.1 Power Consumption Model of Small Base Station . . . . . . . . . . . 106 5.4.2 Power Normalized Capacity Metric . . . . . . . . . . . . . . . . . . 108 5.4.3 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 109 5.4.4 Transformation of the Power Normalization Capacity Optimization Problem and Iterative Procedure of Problem Solving . . . . . . . . . 110 5.4.5 Power Allocate Stage of the Power Normalization Capacity Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 5.4.6 SBS Choose Stage of the Power Normalization Capacity Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Simplex Method . . . . . . . . . . . . . . . . . . . . . . . . 125 5.5 Simulation Results and Performance Evaluation . . . . . . . . . . . . . . . . 128 5.5.1 Major Parameters and Simulation Scenarios . . . . . . . . . . . . . . 128 5.5.2 Synchronous Joint Transmission System Performance . . . . . . . . 134 5.5.2.1 Synchronous Joint Transmission System Performance for Edge UE . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 5.5.3 Asynchronous Joint Transmission System Performance . . . . . . . . 185 5.5.3.1 Asynchronous Joint Transmission System Performance for Edge UE . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 5.5.4 Synchronous Joint Transmission System and Asynchronous Joint Transmission System Performance Compare . . . . . . . . . . . . . 225 5.5.5 Joint Transmission System Fairness Index . . . . . . . . . . . . . . . 242 5.5.5.1 Synchronous Joint Transmission System . . . . . . . . . . 243 5.5.5.2 Asynchronous Joint Transmission System . . . . . . . . . 252 6 Conclusions and Future Works 263 6.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 6.2 Future Works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264 A Nonlinear Fractional Programming 265 A.1 Dinkelbach Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 B Successive Convex Approximate 269 B.1 Successive Convex Approximate . . . . . . . . . . . . . . . . . . . . . . . . 269 C Linear Relaxation for Integer Programming 273 C.1 Vertices of Linear Programming . . . . . . . . . . . . . . . . . . . . . . . . 273 C.2 Explanation by Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . 276 C.3 Simplex Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 D Totally Unimodular Matrix 283 D.1 Definition of Totally Unimodular Matrix . . . . . . . . . . . . . . . . . . . . 283 D.1.1 Verification of Totally Unimodular Matrix . . . . . . . . . . . . . . . 284 E Space Time Block Code Scheme for Asynchronous Joint Transmission Systems 287 References 295

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