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On the Throughput of MIMO-Empowered Multi-hop Cognitive Radio Networks

On the Throughput of MIMO-Empowered Multi-hop Cognitive Radio Networks. Cunhao Gao , Student Member, IEEE, Yi Shi, Member, IEEE, Y. Thomas Hou , Senior Member, IEEE, and Sastry Kompella , Member, IEEE This article has been accepted for publication in a future issue of this journal.

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On the Throughput of MIMO-Empowered Multi-hop Cognitive Radio Networks

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  1. On the Throughput of MIMO-Empowered Multi-hop Cognitive Radio Networks CunhaoGao, Student Member, IEEE, Yi Shi, Member, IEEE, Y. Thomas Hou, Senior Member, IEEE, and SastryKompella, Member, IEEE This article has been accepted for publication in a future issue of this journal 指導教授:郭文興 學生:林祺富

  2. Abstract • 本文把MIMO的技術應用在CR網路中() • 我們結合CR分配頻道的技術和MIMO degree-of-freedom (DoF)的分配來最大化總流量 • 透過模擬可以得到我們結合之後最大化流量的結果 • 此外結合CR和MIMO增加的流量比CRN 使用 沒有MIMO 所增加的流量還多

  3. 目錄(1) • Abstract • INTRODUCTION • UNDERSTANDING CRN • A.Transmission/Reception and Interference in a CRN • B. Co-Channel Interference Cancellation with MIMO DoFs • C. An Example of • MATHEMATICAL MODELING • A. Modeling of • B. Mathematical Reformulation • C. Anticipated Results

  4. 目錄(2) • NUMERICAL RESULTS • A. Results for An Example Network • B. fCRN(MIMO)vs. AMIMO × fCRN • CONCLUSION • REFERENCES

  5. INTRODUCTION(1) • CR可以透過動態存取頻譜來解決頻譜稀少的問題,頻道之間的切換來達到共同使用 • CR可以應用在各種無線通訊技術裡面 • MIMO透過空間和時間處理來達到增加流量的目的 • 透過空間複用加入多個天線在接收的和傳遞的結點上,可以讓單一頻道的容量直線上升

  6. INTRODUCTION(2) • [8], [10], [17],[18], [19], [22], [24] 介紹了CR的優點 • [1], [4], [7], [12],[13], [14], [15], [23], [26], [28]介紹了MIMO • 結合CR和MIMO的技術會大幅的提升了流量 • 在CR中每個結點都裝n個天線和只安裝一個天線,流量至少會增加n倍

  7. INTRODUCTION(3) • CR是不同頻道之間的干擾,MIMO是同一個頻道裡面互相的干擾 • 本文研究結合CR和MIMO技術的流量和每個CR結點有相同數量的天線的流量誰比較好,答案是前面的 • 第2章介紹了CR和MIMO還有建立數學模型 • 第3章提出了聯合CR和MIMO的數學模型 • 第4章提出了模擬結果還有聯合後流量增加 • 第5章對本文作出總結

  8. UNDERSTANDING(1) • MIMO應用在CR中我們提出兩方面來探討: • CR如何利用可用的頻譜和處理干擾的問題 • MIMO如何解決共同頻道干擾的問題 • A. Transmission/Reception and Interference in a CRN:

  9. UNDERSTANDING(2) • B. Co-Channel Interference Cancellation with MIMO DoFs: • 在一個連線使用多個datastreams來增加流量,使用多個DOF來抵銷干擾 • 結點使用的天線數量(DoFs),不能超過自己所擁有的 • 會不會產生干擾取決於使用的順序 • 對於傳輸結點: • 使用DOFs來傳送資料,當影響的節點會在傳輸之前被使用,就需要相同數量的DOFs來抵銷干擾 • 對於接收結點: • 使用DOFs來接收資料,當影響的節點會在傳輸之前被使用,就需要相同數量的DOFs來抵銷干擾

  10. UNDERSTANDING(3) • B. Co-Channel Interference Cancellation with MIMO DoFs: • 順序為1234 • 結點3必須要抵銷結點2的1條干擾 • 結點4要抵銷來自結點1的1條干擾 • 所以結點3最多還有3個DoFs可以傳資料

  11. UNDERSTANDING(4) • B. Co-Channel Interference Cancellation with MIMO DoFs: • 順序的重要性: • 135426(結點4個DoFs不夠) • 124365

  12. UNDERSTANDING(5) • C. An Example of: • 結點1(a4,c2),結點2(b2,e4),結點4(b2,d4)

  13. 符號表

  14. MATHEMATICAL MODELING(1) • : • 排程限制:

  15. MATHEMATICAL MODELING(2) • 順序限制: • kji • 由2得到3

  16. MATHEMATICAL MODELING(3) • MIMO的模型: 傳送的數量不能超過自己本身的天線數量 傳送+抵銷不能超過自己 需要抵銷的數量不會超過M(節點的天線總數量,)

  17. MATHEMATICAL MODELING(4) • 連線容量的限制: • 問題公式化: • 因為(7)和(8)是非線性的所以這個問題是mixed-integer non-linear program (MINLP)

  18. MATHEMATICAL MODELING(5) • B. Mathematical Reformulation: • 我們放寬了 和 的限制 也一樣: • 和

  19. MATHEMATICAL MODELING(6) • 得到新的mixed-integer linear program(MILP)

  20. MATHEMATICAL MODELING(7)

  21. MATHEMATICAL MODELING(8) • C. Anticipated Results: • 是在CRN網路中每個結點都只有一個天線 • 每個結點有相同的天線數量 • 我們可以得到 • 每條連線的容量和f(q)(S-D)都會隨著 增加而增加 • 最主要是要得知最佳化結合CR和MIMO(DOF)技術的結果增加的流量有沒有比 增加來的多

  22. NUMERICAL RESULTS(1) • 分成2部分來證明: • 證明CR和MIMO是如何處理內部頻道干擾的問題 • 證明FACT1了解結合CR技術和MIMO技術的重要性

  23. NUMERICAL RESULTS(2) • A. Results for An Example Network: • 30個結點,4條(S-D)連線,100*100結點隨機分布,可用的頻道有15個和一個頻道1條DOF流量是1 • 傳輸範圍是30,干擾範圍是60和搭配4個天線

  24. NUMERICAL RESULTS(3)

  25. NUMERICAL RESULTS(4) • 使用CPLEX得到每個(S-D)至少可以傳送6個 • 圖5b顯示了最佳的頻道分配 • 下表顯示每個頻道分配的流量和最低連線流量是6

  26. NUMERICAL RESULTS(5) 我們從15頻道中選一個(1)來證明如何分配DOF

  27. NUMERICAL RESULTS(6)

  28. NUMERICAL RESULTS(7)

  29. NUMERICAL RESULTS(8) • : • 模擬每個結點擁有不同的天線和固定天線的情況 • 只有在1個天線的情況下效能會相同(no MIMO)

  30. NUMERICAL RESULTS(9) • 20個結點的情況

  31. NUMERICAL RESULTS(10) • 40個結點的情況

  32. NUMERICAL RESULTS(11) • 50個結點的情況

  33. NUMERICAL RESULTS(12)

  34. NUMERICAL RESULTS(13)

  35. CONCLUSION • 本文結合了CR和MIMO兩個技術,透過CR的頻道開採和MIMO的容量增加來增加總效能 • 提出一個數學分法來分配頻道和DOF • 透過模擬可以得到結合CR和MIMO可以最大化流量

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