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研究生:李哲維
研究生(外文):Lee, Che-Wei
論文名稱:低複雜度路徑排列編碼和排列空間調變解碼器
論文名稱(外文):Design of Low-Complexity Detector for Path-Permutation Codes and Spatial Permutation Modulation
指導教授:賴以威賴以威引用關係
指導教授(外文):Lai, I-Wei
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:電機工程學系
學門:工程學門
學類:電資工程學類
論文出版年:2021
畢業學年度:109
語文別:中文
論文頁數:85
中文關鍵詞:多輸入多輸出系統排列陣列排列空間調變路徑排列編碼編碼旋轉保護低複雜度偵測球形解碼
外文關鍵詞:Multiple-input multiple-outputpermutation arrayspatial permutation modulationmappingpath-permutation codessphere decoderlow-complexity detectionrotated protection
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本論文將排列陣列應用在物理層和跨層通訊,並提出低複雜度的解碼器。在物理層,我們將排列陣列對應到天線,進而傳送位元,稱為排列空間調變。在跨層通訊,我們將排列陣列對應到網路層的傳輸路徑,進而傳送資料,稱為路徑排列編碼。
本論文首先分析排列空間調變在使用單一天線情況,以及在開啟多根天線的情況,並分析了不同開啟天線下的排列空間調變的最大似然解碼,並提出適用於排列空間調變的球形解碼,以降低解碼時複雜度,在同樣的位元錯誤率下球形解碼相較於最大似然解碼省了近75%的拜訪節點。
在路徑排列編碼的部分,我們分析了在快通道下使用多條路徑的情形。我們分析了路徑排列編碼在使用最大後置機率判定法則與對數化最大後置機率判定法則的複雜度,並提出適用於路徑排列編碼的球形解碼,以降低解碼時複雜度。分析的結果,球形解碼與使用最大後置機率判定法則與對數化最大後置機率判定法則的解碼相比,在同樣的位元錯誤率下球形解碼相較於兩者節省了近30%的拜訪節點。
除此之外我們也提出旋轉保護可以進一步的改善排列傳輸在排列空間調變及路徑排列編碼之間的效能。對於排列陣列,我們提出排列陣列的設計與編碼,並有效降低空間相關性對系統的影響,提供了更好的效能。
This thesis applies the permutation array to the physical layer and cross-layer communication, and proposes a low-complexity decoder. At the physical layer, we associate the permutation array with the antenna, and then transmit bits, which is called spatial permutation modulation. In cross-layer communication, we will arrange the array to correspond to the transmission path of the network layer, and then transmit data, which is called path permutation code.
The thesis is first to analyze the fast fading physical layer communication which activate only one transmit antenna. We analyzed the maximum likelihood decoding of spatial permutation modulation and proposed sphere decoding to reduce the complexity of decoding. Under the same bit error rate, the sphere decoding is compared with the maximum likelihood decoding. It saves nearly 75% of visited nodes.
In the part of path permutation coding, we analyzed the situation of using multiple paths in the fast fading. We analyzed the complexity of path permutation code using the maximum a posterior probability criterion and logarithmic maximum a posterior probability criterion, and proposed a sphere decoding suitable for path permutation coding to reduce the complexity of decoding. As a result of the analysis, the sphere decoding saves nearly 33% compared at the same bit error rate.
In addition, we also propose that rotation protection to improve the performance. Mapping and permutation set design for spatial permutation modulation, which can effectively reduce the impact of spatial correlation on the system and provide better performance.
摘要 i
ABSTRACT iii
誌謝 v
目錄 vi
圖目錄 ix
表目錄 xi
第一章 緒論 1
1.1 研究背景 1
1.2 研究動機 3
1.3 論文架構 4
1.4 符號說明 5
第二章 系統模型 6
2.1 多輸入多輸出系統模型(MIMO) 6
2.2 空間調變(Spatial Modulation) 7
2.3 感知無線電(Cognitive Radio) 9
2.4 假想多輸入多輸出模型(Virtual MIMO) 12
2.4.1 刪除通道模型(Erasure Channel Model) 12
2.4.2 端到端傳輸(End-to-End Transmission) 14
第三章 排列空間調變(Spatial Permutation Modulation)與路徑排列編碼(Path Permutation Code) 16
3.1 排列空間調變(Spatial Permutation Modulation) 16
3.1.1 排列陣列(Permutation Array) 16
3.1.2 排列空間調變 (Spatial Permutation Modulation)傳輸 19
3.1.3 多根天線排列空間調變傳輸 23
3.2 路徑排列編碼(Path Permutation Code) 25
3.2.1 多路徑排列編碼 27
3.3 排列陣列的設計與編碼 29
3.4 排列陣列的旋轉保護 32
3.5 虛擬天線/虛擬路徑的旋轉保護 34
第四章 多天線排列空間調變與多路徑排列編碼之解碼 40
4.1 多天線排列空間調變的解碼 40
4.1.1 開啟單一天線排列空間調變的最大似然解碼 40
4.1.2 開啟單一天線排列空間調變的球形解碼 42
4.1.3 開啟多天線排列空間調變的最大似然解碼 44
4.1.4 開啟多根天線排列空間調變的球形解碼 46
4.2 多路徑排列編碼的解碼 49
4.2.1 路徑排列編碼的最大後置機率判定法則 49
4.2.2 路徑排列編碼的對數化最大後置機率判定法則 53
4.2.3 單一路徑排列編碼的球形解碼 55
4.2.4 多路徑排列編碼的球形解碼 58
第五章 數值結果(Numerical Result) 62
5.1 排列空間調變 62
5.1.1 開啟單一排列空間調變 62
5.1.2 開啟多天線排列空間調變 67
5.1.3 排列空間調變的解碼 69
5.2 路徑排列編碼 72
5.2.1路徑排列編碼的解碼 75
第六章 結論 79
參考資料 81
自傳 85
學術成就 85
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