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研究生:蕭高竹
研究生(外文):Kao-Chu Hsiao
論文名稱:使用天線陣列對於無線通訊系統通道容量影響之研究
論文名稱(外文):Research of the effects on the Channel Capacity of Wireless Communication systems using Antenna Arrays
指導教授:李枝宏李枝宏引用關係
口試委員:陳巽璋劉玉蓀方文賢
口試日期:2013-07-30
學位類別:碩士
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:中文
論文頁數:186
中文關鍵詞:天線陣列最佳化通道容量天線耦合
外文關鍵詞:antenna arraysoptimizationchannel capacitymutual coupling
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在無線通訊系統中,多路徑問題造成了通道衰落進而影響通訊品質及可靠度,而多輸入多輸出(MIMO)系統能利用衰落通道間獨立的特性,以及空間多工技術來提高傳輸品質與速率,多輸入多輸出系統利用多天線陣列作為其傳送端以及接收端,本研究著重在多天線陣列對於通訊系統的影響。本論文研究之多天線陣列造成的影響有兩種,其一,天線陣列幾何結構影響空間相關性,空間相關性進而影響通訊系統的通道容量;第二個影響為天線間相互耦合(Mutual coupling)效應。本論文將考慮以上兩個效應,並採用通道容量作為通訊系統效能的指標,利用群粒子最佳化演算法在一定搜尋範圍內找到擁有最大通道容量的天線陣列,並且模擬常見之均勻分布線性陣列、均勻分布圓形陣列及同心圓陣列,討論空間相關性及天線耦合效應對於通道容量的影響,並且比較相同大小且入射環境相同的天線陣列效能差異,以及與其相同情況下之最佳化天線陣列之差異。

In wireless communication systems, channel fading caused by multipath propagation influences the reliability of information transmission and transmission quality. To provide higher transmission quality and spectral efficiency, MIMO uses the characteristic of independence between fading channels and the spatial multiplexing. As MIMO systems uses the multi-antenna array as its receiver and transmitter, our research focuses on the effects produced by multi-antenna array on communication systems. In our research, we consider two effects of multi-antenna array. The first effect is spatial correlation. Spatial correlation caused by array geometries, reduces the channel capacity. The second effect is the mutual coupling between the antennas. Our research considers these two effects, and discusses communication system performance using channel capacity. In our research simulation, we search the optimal array geometry in order to maximize channel capacity using particle swarm optimization. Moreover, we analyze the performance of channel capacity using uniform linear array (ULA), uniform circular array (UCA) and concentric ring array (CRA). Finally, we compare the channel capacity between these different array geometries, considering spatial correlation and mutual coupling.

目錄
摘要 i
Abstract ii
目錄 iii
第一章 緒論 1
1.1 研究背景 1
1.2 研究動機 2
1.3 論文之主要貢獻 3
1.4 論文之組織架構 3
第二章 天線之空間相關性推導 4
2.1 座標系 5
2.2 二維空間相關性公式 6
2.2.1 公式推導 6
2.2.2 二維空間相關性模擬 9
2.3 三維空間相關性公式 24
2.3.1 公式推導 24
2.3.2 三維空間相關性模擬 26
第三章 二維及三維擴散環境下考慮空間相關性之天線陣列效能分析與最佳化 41
3.1 系統模型 42
3.2 通道容量 43
3.3 通道容量上界 43
3.4 最佳化演算法 46
3.4.1 粒子群最佳化演算法(Particle Swarm Optimization, PSO) 46
3.4.2 混屯粒子群最佳化演算法(Chaotic Particle Swarm Optimization, CPSO) 48
3.4.3 改良型粒子群最佳化演算法(The proposed Chaotic PSO, CHOPSO) 50
3.5 二維天線陣列幾何結構最佳化及模擬結果 51
3.6 三維天線陣列幾何結構最佳化及模擬結果 64
第四章 三維擴散環境下考慮Mutual coupling之天線陣列效能分析與最佳化 93
4.1 天線間交互耦合現象(Mutual coupling) 94
4.1.1 天線交互耦合(mutual coupling)現象及C矩陣推導 94
4.1.2 常用天線陣列幾何結構之C矩陣 96
4.2 考慮mutual coupling對於通道容量的影響 98
4.2.1 天線陣列幾何結構最佳化流程 98
4.2.2 天線陣列幾何結構最佳化模擬結果 103
第五章 三維擴散環境下考慮空間相關性與Mutual coupling之天線陣列效能分析與最佳化 116
5.1 考慮mutual coupling之的空間相關性公式推導 117
5.2 考慮空間相關性與mutual coupling對於通道容量的影響 121
5.2.1 天線陣列幾何結構最佳化流程 121
5.2.2 天線陣列幾何結構最佳化模擬結果 122
第六章 不同通道環境下最佳化通道容量比較 135
6.1 Kronecker model之單端及兩端天線陣列最佳化結果 136
6.2 Rayleigh-Lognormal fading channel與Rayleigh fading channel模擬結果比較 143
6.2.1 圖型比較與討論 144
6.2.2 數據比較 162
第七章 總結及未來研究方向 178
Appendix 180
參考文獻 183


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