本論文主要探討MIMO（Multiple-Input Multiple-Output） 的架構，在於使用貝氏決策法則（Bayes Decision Rule, BDR）針對MIMO通道的衰減作補償，以及改善天線間存在空間相關性係數時的通訊品質，並增加多路徑衰減通道的強建性（Robustness）。
驗證系統模擬的過程中，首先使用Jakes model產生多組具有獨立統計的瑞利分佈（Rayleigh distribution）的平緩衰減（Flat fading）通道模型，接著使用Kronecker矩陣之數學法則，改變發射端天線間相關性係數（correlation coefficient），產生相關性通道響應。傳送的時空區塊編碼（Space-Time Block Code, STBC），分為半速率（Half-rate）全分集（Full diversity）及全速率（Full-rate）半分集（Half diversity）兩種。
接收端使用貝氏決策法則產生的權重值，補償每一組通道響應，使輸出信號具有最小”風險（Risk）”準則。藉由錯誤率（Bit Error Rate, BER）分析及通道特徵值（Eiegn-value）分佈在MIMO 的架構下，使用QPSK調變技術的表現，以驗證系統對兩種編碼方式效能的改善。

This thesis mainly investigates the system performance of MIMO 4-by-1, incorporated with a Bayes decision rule. Apart from using conventional Space-Time Block Code and Multiple-Input Multiple-Output (STBC-MIMO) detection, this proposed scheme provides relatively contribution to the sub-channel enhancement and signal robustness in the spatially correlated multipath fading channel.
To validate our proposed scheme, the channel simulation using Jakes model for generating independently and identically distributed (i.i.d.) multipath fading channel and Kronecker channel matrix for spatially correlated antenna structure in the transmitter end are adopted to mimic the realistic MIMO channel. The STBC applied for this analysis includes the half-rate full-diversity and full-rate half-diversity schemes.
The Bayes decision rule is to generate the optimum weights which maximizes the most likely “closest” transmitted signal power to the received vector with a minimum ‘Risk’ criterion. The simulation results demonstrate remark performance improvement in the Bit-Error-Rate and cumulative eigen-distribution using this optimum weights.

第一章 緒論 1
1.1 背景簡介 1
1.2 論文大綱 2
第二章 空間多工系統架構 3
2.1 MIMO天線系統簡介 3
2.2 STBC介紹 4
2.3 Orthogonal STBC介紹 5
2.3.1 半速率（Half-rate）全分集（Full diversity）編碼 6
2.3.2 全速率（Full-rate）半分集（Half diversity）編碼 7
第三章 貝氏決策法則結合接收機之設計 9
3.1貝氏定理 9
3.2 貝氏決策法則應用 9
3.3 貝氏決策法則與MIMO 天線接收機之結合 12
3.4 相關性通道之建立 14
3.5 貝氏決策法則之權重值 17
第四章 數學模型分析 22
4.1.1 矩陣對角化解碼 24
4.1.2 矩陣對角化解碼結合貝氏決策法則 25
4.2 全速率編碼偵測方式 27
4.2.1 矩陣對角化解碼 27
4.2.2 矩陣對角化解碼結合貝氏決策法則 30
4.3 權重因子 33
4.3.1 半速率編碼之權重因子 33
4.3.2 全速率編碼之權重因子 34
第五章 系統模擬與效能評估 35
5.1 系統模擬組態與參數設定 35
5.2 特徵值CDF分析 38
5.3 錯誤率分析 48
第六章 結論 55
參考文獻 57

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