在中上衰落通道中分集結合技術之二階統計特性

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詹凱文(Kai-Wen Chan) 查詢紙本館藏

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通訊工程學系

論文名稱

在中上衰落通道中分集結合技術之二階統計特性
(Second-Order Statistics for Diversity Combining Techniques in Nakagami Fading Channels)

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摘要(中)

在無線通訊系統下，多重路徑衰落是最常見的干擾並且嚴重地影響通訊品質。因為中上衰落模型具有較好的模擬彈性而且能夠精確地與實驗數據相符合，所以中分衰落模型是最能夠全方位適用於各種通道的模型。分集結合技術是最常用來降低多路徑衰落的效應，並且期望能夠增加系統的效能。為了量化分集結合系統的效能，水平跨越比例和平均衰落期間通常是用來評估在多重路徑衰落下的分集結合系統效能。如果接收天線沒有間隔足夠的距離，通道之間所產生相關性將會降低分集結合系統的效能，所以具有相關性的分集結合系統效能通常都是劣於獨立性的分集結合系統。因此，對於在實驗室中產生相關性中上衰落通道是非常重要的，因為它兼顧了理論與實用的價值；而且對於分析相關性中上衰落通道的統計特性是有其助益的。

摘要(英)

In wireless communication systems, multipath fading is commonly encountered and adversely affects the quality of communication. The Nakagami-m fading model is one of the most versatile models, because it has superior flexibility and accurately matches experimental data. Diversity combining techniques are commonly used to reduce multipath fading effects, and they are thus expected to enhance system performance. In order to quantify the performance of diversity combining systems, the level crossing rate and the average fade duration are usually used to evaluate the performance of diversity combining systems in multipath fading channels. However, if the receiver antennas are not sufficiently separated, the diversity combining techniques are diminished over correlated channel branches, whereas the performance in a correlated diversity system is worse than that for independent multipath fading channels. Hence, the generation of correlated Nakagami-m fading channels in a laboratory environment is of theoretical and practical importance, and it is useful to study the statistics of such channels.

關鍵字(中)

★ 平均衰落期間
★ 水平跨越比例
★ 相關性通道
★ 分集結合技術
★ 中上衰落模型
★ 多重路徑衰落

關鍵字(英)

★ average fade duration
★ level crossing rate
★ correlated channel
★ diversity combining techniques
★ Nakagami-m fading model
★ multipath fading

論文目次

Chapter 1 Introduction 1
Chapter 2 A Review of Nakagami-m Fading Channels 5
2.1 Channel Model 5
2.2 Nakagami-m Fading Channels 13
2.3 Simulator for Nakagami-m Fading Channels 16
2.3.1 Clarke’s Fading Model 16
2.3.2 Sum-of- Sinusoids Based on the Nakagami-m Simulator 19
Chapter 3 Diversity Combining, First- and Second-Order Statistics 21
3.1 Diversity Combining 21
3.1.1 Diversity Schemes 21
3.1.2 Combining Technique 22
3.2 First-Order Statistics 23
3.2.1 Channel Capacity 24
3.2.2 Average Bit Error Probability 26
3.2.3 Outage Probability 27
3.3 Second-Order Statistics 27
3.3.1 Level Crossing Rate 27
3.3.2 Average Fade Duration 28
Chapter 4 Second-Order Statistics of Diversity Combining over Independent Nakagami-m Fading Channels 29
4.1 LCR and AFD of Nakagami-m Fading Channels 29
4.2 LCR and AFD of Selection Combining in Independent Nakagami-m Fading Channels 33
4.2.1 Identical Case 33
4.2.2 Non-identical Case 38
4.3 LCR and AFD of Maximal-Ratio Combining in Independent Nakagami-m Fading Channels 42
4.3.1 Identical Case 43
4.3.2 Non-identical Case 47
4.4 LCR and AFD of Equal-Gain Combining in Independent Nakagami-m Fading Channels 51
4.4.1 Identical Case 52
4.4.2 Non-identical Case 54
Chapter 5 Decomposition Technique for the Generation of Correlated Nakagami-m Fading Channels 56
5.1 Cholesky Decomposition 56
5.1.1 Derivation of Correlations for a Gamma Distributed Vector 56
5.1.2 Decomposition Method 58
5.2 Sim’s Method 61
5.3 Q. T. Zhang’s Method 63
5.3.1 Generation of Correlated Nakagami-m Channels 63
5.3.2 Decomposition Method 65
5.3.3 Simulation Results 68
Chapter 6 Conclusions and Future Work 72
Bibliography 73

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指導教授

林嘉慶(Jia-Chin Lin)

審核日期

2009-7-16

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