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研究生: 吳俊賢
Wu, Jyun-Sian
論文名稱: 排列調變於多輸入多輸出、正交分頻多工、開迴路通訊之傳輸演算法與基於耦合之效能分析
Permutation Modulation for Open-Loop, Multi-Input Multi-Output and Orthogonal Frequency-Division Multiplexing System, and Associated Performance Analyses Using Copulas
指導教授: 賴以威
Lai, I-Wei
口試委員: 王嘉斌
Wang, Chia-Pin
李佳翰
Lee, Chia-Han
賴以威
Lai, I-Wei
口試日期: 2022/12/12
學位類別: 碩士
Master
系所名稱: 電機工程學系
Department of Electrical Engineering
論文出版年: 2022
畢業學年度: 111
語文別: 中文
論文頁數: 79
中文關鍵詞: 錯誤率分析耦合多輸入多輸出系統正交分頻多工
英文關鍵詞: error rate analyses, copula, multi-input multi-output, orthogonal frequency division multiplexing
研究方法: 實驗設計法
DOI URL: http://doi.org/10.6345/NTNU202205650
論文種類: 學術論文
相關次數: 點閱:123下載:7
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  • 此篇研究提出運用於多輸入多輸出系統 (multi-input multi-output, MIMO) 的 傳輸演算法。傳統的空間調變 (spatial modulation, SM) 演算法對單一時間點的多天線傳輸演算法進行調變,但是各個傳輸時間點獨立調變。本篇研究中,我們 提出一演算法不僅將多天線傳輸進行設計,且對多個時間點進行共同調變。此傳輸演算法相較於傳統的SM提升一個維度,增加所有傳輸可能組合間的最小歐式距離,在相同訊號雜訊比時,提升效能約 3 - 6 dB。
    此外,此篇論文亦將此技術推廣至正交分頻多工 (orthogonal frequency- division multiplexing, OFDM) 中。在 OFDM 中,此篇論文提出的演算法提升其效能約 3 - 5 dB。
    除了傳輸演算法設計,本文亦對傳輸演算法進行理論分析。藉由耦合 (copulas) 得以分析在通道具有相依性時的演算法效能,使分析更符合實際應用場景。

    This thesis focuses on the transmission algorithm design of a multi-input multi- output (MIMO) system. Compared to conventional spatial modulation (SM), which individually modulates the signal within one time instant, the proposed transmission algorithm utilizes permutation modulation to modulate multiple time instants concerning several system parameters. Since the proposed algorithm modulates multiple time instants, there is one more dimension than the conventional SM, increasing the minimum Euclidean distance within the set of all possible transmission signals.
    This thesis utilizes permutation coding to design the transmission of orthogonal frequency division multiplexing (OFDM). The proposed transmissions increase by 3-5 dB for OFDM.
    Besides the transmission algorithm design, we theoretically analyze the bits error rates of transmission algorithms. The copula can efficiently construct the multi-variable cumulative distribution function (CDF) with correlations.

    第一章 介紹 1 1.1 研究動機 1 1.2 相關文獻 3 1.3 主要貢獻 6 1.4 論文架構 7 第二章 系統架構 8 2.1 多輸入多輸出系統 8 2.1.1 空間調變 10 2.1.2 正交空間調變 11 2.1.3 空間排列調變 13 2.1.3.1 排列陣列 13 2.1.3.2 物理層傳輸應用 16 2.2 正交分頻多工 18 2.2.1 指數調變 19 2.2.2 指數調變-同相/正交 21 2.2.3 廣義多模式指數調變 22 2.3 開迴路通訊系統 24 2.4 理論分析工具 24 2.4.1 Sklar定理 26 2.4.2 弗雷歇–霍夫丁耦合 27 2.4.3 阿基米德耦合家族 28 2.4.4 克萊頓耦合 29 2.4.5 法蘭克耦合 30 2.4.6 干貝爾耦合 31 第三章 提出之排列調變演算法 33 3.1 多輸入多輸出系統 33 3.1.1 進階空間調變演算法 33 3.1.1.1 正交空間排列調變 34 3.2 正交分頻多工 35 3.2.1 指數排列調變 36 3.2.1.1 開啟子載波組 36 3.2.1.2 指數排列調變 37 3.2.2 指數排列調變-同相/正交 38 3.2.3 雙模式IPM-I/Q 39 第四章 空間調變與空間排列調變理論分析 42 4.1 成對錯誤率 43 4.1.1 空間調變 43 4.1.2 空間排列調變CPEP 48 4.2 聯合機率分佈 55 4.2.1 弗雷歇–霍夫丁耦合 56 4.2.2 克萊頓耦合 59 4.3 空間調變與空間排列調變之錯誤率 60 第五章 模擬結果 62 5.1 多輸入多輸出傳輸演算法 62 5.2 正交分頻多工 64 5.3 理論分析 66 第六章 結論與未來研究 70 參考文獻 72 自傳與學術成就 79

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