博碩士論文 etd-0911112-181348 詳細資訊


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姓名 劉國樑 (Kuo-Liang Liu) 電子郵件信箱 E-mail 資料不公開
畢業系所 通訊工程研究所(Communications Engineering)
畢業學位 碩士(Master) 畢業時期 101學年第1學期
論文名稱(中) 在扇形FFR網路中建立通道容量的數學分析模型    
論文名稱(英) A Mathematical Model for Analyzing Capacity in Sectorized
FFR Networks
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    摘要(中) 本論文在Sectorized FFR Network (SFN)網路中建構一個數學模型,在SFN網路中,頻段配置是採用FFR (Fractional Frequency Reuse)的方式,FFR的配置方式可區分為super group (Sup-G)和regular group (Reg-G)兩部份,Sup-G所配置的頻段會與全部sectors所配置的頻段相互重疊,而當Sup-G半徑過大時,因兩相鄰BS的Sup-G是使用相同的頻段,也會彼此產生干擾。在本文所建構的數學模型中,我們只需給定不同的環境參數(sector個數、MS個數、power大小),透過改變天線的功率大小來變化Sup-G半徑,各環境參數對干擾的影響來分析通道容量(capacity)的變化,因為在實際應用上BS都是架設在人口較為密集的地方,離BS愈遠的MS個數愈少,因此本論文使用高斯分佈來模擬MS的分佈情形,在高斯分佈中,我們首先根據MS的位置是在Sup-G或是在sector中分別討論,在計算干擾的方式,我們是先選定一個MS當作樣本點,將傳送功率乘上路徑損失後再乘上MS密度之後再積分,便得到干擾的數學公式[37],再透過SINR公式和Shannon Capacity公式,即得到整體系統的通道容量,在推導干擾的數學公式過程中,我們採用Taylor series來得到近似解,並利用Wolfram Mathematica 7數學軟體來進行運算。
    從數學分析模型中,我們找到一個適當的Sup-G半徑和cellular半徑的比值,此半徑比值可以讓MS不管處於FFR網路的任何位置,都可以得到相同的通道容量,而不會因為MS經常在FFR網路中移動,有時會出現在cellular edge或有時會出現在cellular center而得到差異很大的通道容量,在此數學模型中,我們也分析不同sector個數對干擾和通道容量的影響。
    摘要(英) In this thesis, we construct a mathematical model for Sectorized FFR Networks (SFN). In SFN, frequency allocation adopts FFR (Fractional Frequency Reuse), which divides the frequency into two parts: the super group (Sup-G) and the regular group (Reg-G). Since the frequency allocations of Sup-G and sectors overlaps each other, and the same frequency band is used by two Sup-G in two different BS, when the radius of Sup-G is too large, interferences will occur among the adjacent BS. In our mathematical model, given different environmental parameters (number of sector, number of MS, strength of power), we can compute the system capacity by varying the radius of Sup-G and the various environmental parameters. In practical applications, since the number of MS becomes smaller in the cellular edge and it increases rapidly in the cellular center, Gaussian distribution is more adequate to model the distribution of MS. Thus, in the calculation of interference, we take the integration of the path loss multiplied by the transmission power and the MS density. Finally, through the SINR and Shannon Capacity formula, we can derive the overall system capacity.
    From the mathematical model, we can achieve a ratio of Sup-G radius and cellular radius. With this radius ratio, an MS can have about the same capacity regardless of the position in the FFR network. Otherwise, an MS may get very different capacity when it moves to the cellular edge or sometimes it appears in the cellular center. Additionally, from the mathematical model, we can analyze the interferences and system capacity for different numbers of sectors.
    關鍵字(中)
  • 高斯分佈
  • 關鍵字(英)
  • FFR
  • SINR
  • sector
  • capacity
  • super group
  • 論文目次 Acronyms vi
    第一章 緒論 1
    1.1 研究動機 1
    1.2 研究方法 2
    1.3 論文架構 3
    第二章 LTE-A與FFR 4
    2.1 LTE-A介紹 4
    2.2 FFR 4
    2.3 相位測向技術 5
    2.4 Shannon capacity 7
    2.5 自由空間傳播模型 8
    2.6 相關研究 9
    2.7 本論文提出的模型 14
    第三章 FFR網路的通道容量 15
    3.1 系統架構 15
    3.2 干擾的計算 18
    3.2.1 Sector與Sector之間的干擾 18
    3.2.2 Sup-G所受到周圍Sectors的干擾 21
    3.3 通道容量的分析 23
    第四章 數學分析與結果討論 24
    4.1 效能參數 24
    4.2 數據結果與討論 25
    4.2.1 不同分佈下的MS密度、個數和干擾 25
    4.2.2 高斯分佈下通道容量的變化 28
    4.2.3 不同分佈下 與 的比較 32
    4.2.4 Sector個數與通道容量 34
    4.2.5 整體系統通道容量 36
    第五章 結論與未來工作 37
    5.1 結論 37
    5.2 未來工作 38
    參考文獻 40
    Index 46
    附錄 49
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  • 口試日期 2012-09-05 繳交日期 2012-09-11

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