頻寬的限制在無線通訊領域中是眾所皆知的，因此頻寬的有效利用是相當重要的一們課題，在眾多增進頻寬利用效率的技術中，空-時（ST）編碼系統在最近是相當熱門的一項無線通訊技術，我們將在本篇文章裡，依序討論ST系統中三種最常見的編碼架構：空-時格子碼（Space-Time Trellis Coding，STTC）、空-時區塊碼（Space-Time Block Coding，STBC）及差分的空-時區塊碼（Differential Space-Time Block Coding，DSTBC）。首先我們會先在第二章介紹ST系統的基本架構，並於簡略地介紹STTC的架構及編碼方式；而在第三章中，有鑒於目前ST系統錯誤率封閉式之理論推導並未多見，故我們將仿照MRC架構下之多通道通訊系統之錯誤率分析【10】，來對STBC和DSTBC系統在同樣的環境下做適切的錯誤率分析；然後在第四章中，我們將把錯誤率之分析範圍擴大，針對快速衰減通道下的STBC系統性能表現做定性的分析，以更適合推算現實環境中傳送接收兩端高速相對移動的系統分析；然後在第五章，我們將分析範圍擴展至多重路徑衰減通道，並對處於此通道環境下之STBC架構做理論上的性能分析；最後在第六章，我們將對本論文所有分析內容做一個總結。
本篇論文的主要貢獻在於：1.我們提供了一個適用於STBC及DSTBC架構在緩慢衰減通道下的錯誤率封閉式；2.我們針對STBC架構在快速衰減通道下的性能做了詳細的分析，並在此通道環境下推導出一個理論錯誤率的式子；3.我們討論了STBC架構在多重路徑衰減通道下的性能反應，並經由理論推導證明，使用本論文中提出之Rake接收機架構，可以提升一定程度的分集增益（diversity gain）。

The limit of bandwidth efficiency is well known in wireless radio communication. Therefore, making use of bandwidth efficiently is very important. Among various technologies which can increase the bandwidth efficiency, space-time coding system is very popular technology recently. In this article, we’ll discuss three common schemes in ST system：Space-Time Trellis Coding (STTC), Space-Time Block Coding (STBC) and Differential Space-Time Block Coding (DSTBC). First, we’ll introduce the basic model of ST systems in chapter 2. And in chapter 3, the error probability, which is a close form, of STBC and DSTBC systems in slow fading channel will be derived, according to the derivation of error probability in multi-channel communication systems【10】. Then, the channel model will be defined as a fast fading channel and the error probability of STBC system in this channel model will be derived in chapter 4. Furthermore, we’ll derive the error probability of STBC system in multi-path slow fading channel. Finally, we’ll make a conclusion to the works we did in this article.
The contribution of this article are：1. We derive a bit error probably which is a close form of STBC and DSTBC systems in slow fading channel. 2. We analyze the performace of STBC system in fast fading channel and derive a bit error probability in this case. 3. We analyze the performance of STBC system in multi-path slow fading channel and get a result that the diversity gain will increase when use the RAKE receiver mentioned in this article.

誌謝 i
Abstract ii
摘要 iii
目錄 iv
符號表 vi
圖目錄 x
表目錄 xvi
第一章 導論 1
第二章 空-時編碼系統 3
前言 3
2.1基本系統模型 3
2.2 STTC系統 9
結論 12
第三章 使用MPSK調變之STBC及DSTBC系統在緩慢的衰減通道下之錯誤率分析 13
前言 13
3.1 使用STBC之系統在緩慢的Rayleigh衰減通道下之錯誤率分析 13
3.2 使用STBC之系統在緩慢的Rician衰減通道下之錯誤率分析 27
3.3 使用DSTBC之系統在緩慢的Rayleigh衰減通道下之錯誤率分析 34
3.4 使用DSTBC之系統在緩慢的Rician衰減通道下之錯誤率分析 47
結論 54
第四章 使用MPSK調變之STBC系統在快速的衰減通道下之錯誤率分析 59
前言 59
4.1 使用STBC之系統在快速的Rayleigh衰減通道下之錯誤率分析 59
4.2 使用STBC之系統在快速的Rician衰減通道下之錯誤率分析 71
結論 79
第五章 使用MPSK調變之STBC系統在多重路徑的Rayleigh衰減通道下之錯誤率分析 83
前言 83
5.1 傳統接收機架構下之理論分析 83
5.2 在RAKE接收機架構下之理論分析 96
結論 103
第六章 總結 106
附錄 A 108
附錄 B 115
參考資料 125

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