在本篇論文中，主要是探討在空間中，我們可以使用多根天線達到空間分集增益的效果。但是在使用多天線的系統下，要達到分集增益的條件，是天線間必須要擁有足夠低相關性。而能夠使天線間低相關性的條件，則是天線間彼此要有足夠的間隔距離，所以在設備上裝設多根天線之下，會造成設備尺寸的困擾。

所以在此我們討論如何使用一根天線達到分集增益。在傳送端，我們使用單根天線達到分集增益的方式，就是在多路訊號上都乘上隨機變數，使得多路訊號可以擁有通道零相關性，然後對訊號疊加使用一根天線傳送出去。在接收端，我們則對已經接收的訊號，分做多路分別乘上隨機變數，使接收到的一個訊號再分作多路，由隨機變數使其通道看似零相關性，來做分集增益的討論。

由上述方法，在第二章中，我們針對傳送端使用Alamouti STBC 的系統去做一個解析的過程。也針對接收端多根天線做同樣的解析。上面兩章分析著重於訊號的分析中是否有分集增益的特性，還有針對可以有分集增益效果的系統下，去作平均位元錯誤率的解析，探討在有分集增益效果下，是否能提升平均位元錯誤率的性能。

在分析傳送端、接收端的性能之後，在第三章針對可以擁有提升平均位元錯誤率性能的系統，去做一個我們所加入的隨機變數的特性分析，探討在何種隨機變數的特性下，去推算其最佳的系統性能。

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第一章 導論 1
1.1 背景 1
1.2 研究動機 2
1.3 論文架構 2
1.4 論文貢獻 3
1.5 基礎知識 3
1.5.1 空時區塊碼 (STBC, space-time block code) 3
第二章 使用單一空間維度之系統架構在單一路徑緩慢Rayleigh衰減通道的性能分析 7
2.1 前言 7
2.2 Virtual STBC 2x1 系統架構設計 7
2.2.1 Virtual STBC 2x1 系統架構 7
2.2.2 Virtual STBC 2x1 系統分析 11
2.2.3 Virtual STBC 2x1 系統性能分析 12
2.2.3.1 單一雷利緩慢衰減通道下之位元錯誤率式 13
2.3 Virtual 1x2 系統架構設計 23
2.3.1 Virtual 1x2 系統架構 24
2.3.2 Virtual 1x2 系統分析 25
2.3.3 Virtual 1x2 系統性能分析 27
2.4 Virtual STBC Ntx1 系統架構設計 34
2.4.1 Virtual STBC Ntx1 系統架構 35
2.4.2 Virtual STBC Ntx1 系統分析 37
2.4.3 Virtual STBC Ntx1 系統性能分析 41
2.4.3.1 單一雷利緩慢衰減通道下之位元錯誤率式 41
2.4.3.2 隨機變數於複數高斯分佈下平均位元錯誤率推導 48
第三章 Virtual STBC系統下隨機變數的討論 57
3.1 前言 57
3.2 隨機變數為獨立且相同Complex Gaussian分佈下的探討 57
3.3 隨機變數為獨立且不相同Complex Gaussian分佈下的探討 65
第四章 MIMO系統使用Virtual STBC在緩慢Rayleigh衰減通道的性能分析 81
4.1 前言 81
4.2 Virtual STBC 2x2 系統下傳送端使用單根天線接收端使用多根天線系統架構設計 81
4.2.1 Virtual STBC 2x2 系統架構 81
4.2.2 Virtual STBC 2x2 系統分析 85
4.2.3 Virtual STBC 2x2 系統性能分析 87
4.2.3.1 單一雷利緩慢衰減通道下之位元錯誤率式 87
4.2.3.2 隨機變數於複數高斯分佈下平均位元錯誤率推導 95
第五章 結論 101
附錄 A Virtual STBC乘入隨機變數與通道間相關性分析 103
附錄 B STBC多天線編碼之例子 111
參考文獻 117
作者簡歷 121

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