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研究生:鍾浩翔
研究生(外文):Hao-Hsiang Chung
論文名稱:基於錯誤更正碼的多路存取設計
論文名稱(外文):Designs of Multiple Access Communications Based on Error-Correcting Codes
指導教授:林茂昭
口試委員:鐘嘉德呂忠津趙啟超蘇育德陸曉峯楊谷章蘇賜麟陳伯寧
口試日期:2013-07-18
學位類別:博士
校院名稱:國立臺灣大學
系所名稱:電信工程學研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2013
畢業學年度:101
語文別:英文
論文頁數:104
中文關鍵詞:多工接取交織多工接取錯誤更正碼實體層網路編碼
外文關鍵詞:multiple accessIDMAinterleave-division multiple-accesserror correcting codesphysical-layer network coding
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在本篇論文中我們主要探討三個主題。前面兩個主題是有關交織多工接取系
統,第三個主題是有關在實體層網路編碼的映射方法。首先我們提出一個新的
ESE 演算法,這個演算法可讓交織多工接取系統處理非格雷(Gray)映射的調變。
利用交織多工接取系統的迭代解碼特性,非格雷映射可以提升系統的效能。接
下來我們討論交織多工接取系統中通道估計的問題。利用交織多工接取多層傳
輸的特性,將pilot 訊號嵌入在資料訊號中,並延伸ESE 檢測訊號的方法來做
通道估計。在此方法中我們只須以少量的傳輸能量分給pilot 做訊號檢測,就
可達到最佳的效能。另外,此檢測器可以達到逼近CRLB 的效能。最後在實體層
網路編碼的主題中,我們提出一個新的映射方法用於Two-way Relay 通道。此
演算法基於MIMO 線性檢測,產生一個類似QAM 形狀的星座圖(constellation),
不僅方便做分析運算,也可得到更佳的效能。

In this thesis we discuss three algorithms for multiple-access communications.
The first two are under IDMA context, and the third one is under
physical-layer network coding (PNC) systems. First, we propose a new ESE
algorithm which can deal with modulations with non-Gray labelling. Better
performance can be obtained by leveraging its iterative decoding nature with
non-Gray labelling. Second, we extend IDMA principle to channel estimation
in IDMA systems. A similar Gaussian approach from ESE is adopted. Only
small amount of pilot power is need to obtain the best-achievable performance.
Also, it also shows a near CRLB (Cramer-Rao Lower Bound) performance.
Third, in physical-layer network coding (PNC) context, we propose
a new mapping scheme for two-way relay channels. Based on MIMO linear
detection, the mapping scheme has a QAM-like constellation, which is not
only easy for analysis and has better performance that other sum/difference
scheme.

Contents
1 Introduction 2
2 Interleave-Division Multiple-Access System 6
2.1 IDMA System Model . . . . . . . . . . . . . . . . . . . . . . . 6
2.2 The Iterative Decoding Algorithm . . . . . . . . . . . . . . . . 8
2.2.1 The Basic ESE Function . . . . . . . . . . . . . . . . . 8
2.2.2 ESE Function for Complex Single-path Channels . . . 11
2.2.3 ESE Function for Multi-path Complex Channels . . . . 15
2.2.4 The DEC function . . . . . . . . . . . . . . . . . . . . 19
2.3 Gray Labelling in IDMA Algorithm . . . . . . . . . . . . . . . 20
2.3.1 Gray v.s. Non-Gray Labelling . . . . . . . . . . . . . . 21
2.3.2 Gray-Labelled Assumption in IDMA Algorithm . . . . 22
2.A Derivation of (2.29) . . . . . . . . . . . . . . . . . . . . . . . . 23
3 IDMA using Non-Gray Labelled Modulation 24
3.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
3.2 IDMA Systems and The Proposed ESE . . . . . . . . . . . . . 27
3.2.1 System model . . . . . . . . . . . . . . . . . . . . . . . 27
3.2.2 The General ESE . . . . . . . . . . . . . . . . . . . . . 29
3.2.3 ESE for QPSK . . . . . . . . . . . . . . . . . . . . . . 34
3.3 Performance Analysis . . . . . . . . . . . . . . . . . . . . . . . 38
3.3.1 Analysis for IDMA with QPSK . . . . . . . . . . . . . 38
3.3.2 Analysis for IDMA with Higher-Order Modulation . . . 51
3.4 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . 55
3.5 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . . . 59
4 IDMA with Channel Estimation 61
4.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
4.2 System Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4.2.1 Transmitter with Embedded Pilot Signal . . . . . . . . 63
4.2.2 Receiver with Channel Estimators . . . . . . . . . . . . 64
4.3 Channel Estimation using IDMA Principle . . . . . . . . . . . 65
4.3.1 Channel Estimator . . . . . . . . . . . . . . . . . . . . 65
4.3.2 ESE . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.3.3 MSE Analysis . . . . . . . . . . . . . . . . . . . . . . . 68
4.4 Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . 69
4.5 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . . . 77
5 PNC Scheme Based on Linear MIMO Detection 78
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
5.2 System Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
5.2.1 Two-way Relay Channel . . . . . . . . . . . . . . . . . 80
5.3 PNC Mapping . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
5.3.1 Linear MIMO detection . . . . . . . . . . . . . . . . . 83
5.3.2 MIMO-NC scheme . . . . . . . . . . . . . . . . . . . . 84
5.3.3 MIMO-PNC scheme-I . . . . . . . . . . . . . . . . . . 84
5.3.4 MIMO-PNC scheme-II . . . . . . . . . . . . . . . . . . 85
5.4 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . 95
5.4.1 Simulation Results . . . . . . . . . . . . . . . . . . . . 95
5.5 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . . . 97
6 Conclusions 98
7 Bibliography 100

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