空時編碼最大的缺點是沒有考慮到多路徑干擾和多用戶干擾的問題。雖然有
些論文有考慮到多用戶之間的正交性，但是他們討論的只是bit-level 的正交性，
並未討論到chip-level 的正交性。
我們已經找出擁有完美的自相關及互相關特性的MISO 系統中子碼位階下
空時頻互補碼(Chip Level Space-Time-Frequency Complementary Code)，簡稱為
CL-STFCC。
由於CL-STFCC 的子碼長度和CL-STFCC 的子碼個數是有一個二次方的關
係，而我們找出Extend CL-STFCC 將會改變這個二次方的關係，這個關係將會
變成三次方、四次方、五次方、…，一直無限的延伸下去。
接著我們再提出Super CL-STFCC，相對於CL-STFCC 或是Extend CL-STFCC，
Super CL-STFCC 的子碼長度和子碼個數是沒有關係的，也就是我們可以任意決
定我們想要的子碼長度和個數，在使用上比較不受限制。

none

第一章 導論................................................................................................................. 1
1.1 背景............................................................................................................1
1.2 研究動機....................................................................................................2
1.3 論文架構....................................................................................................2
1.4 論文貢獻....................................................................................................2
1.5 完全互補碼簡介........................................................................................3
第二章 二維互補碼介紹............................................................................................. 9
2.1 完全互補碼的產生方式..............................................................................9
2.2 擴展完全互補碼的產生方式....................................................................10
2.3 超級互補碼的產生方式............................................................................11
2.4 由求解相關函數方程組求解完美二維互補碼........................................19
第三章 MISO 系統Chip Level Space-Time-Frequency Complementary
Code(CL-STFCC)的完美正交性............................................................................. 27
3.1 子碼位階下時-空-頻互補碼MISO 系統方塊圖.......................................27
3.2 MISO 系統CL-STFCC 的完美自相關特性...........................................30
3.3 CL-STFCC 的完美互相關特性................................................................30
3.3.1 CL-STFCC 的完美互相關特性(化簡之前)..................................30
3.3.2 CL-STFCC 的完美互相關特性(化簡過程)..................................39
3.3.3 CL-STFCC 的完美互相關特性(化簡之後)..................................45
3.4 等效二維碼的完美自相關特性................................................................46
3.5 等效二維碼的完美互相關特性................................................................47
3.6 二維碼和CL-STFCC 的關係...................................................................48
第四章 最大天線數為Nt=M的CL-STFCC....................................................... 51
4.1 產生方式.....................................................................................................51
4.2 正交矩陣的產生方式.................................................................................53
4.3 CL-STFCC 的完美正交性驗證................................................................57
4.3.1 CL-STFCC 完美自相關關係的驗證............................................57
4.3.2 CL-STFCC 之和的完美自相關關係和互相關關係的驗証........65
第五章 最大天線數Nt=M2 的CL-STFCC......................................................... 79
5.1 產生方式.....................................................................................................79
5.2 正交矩陣的產生方式.................................................................................81
5.3 CL-STFCC 的完美正交性驗證................................................................85
5.3.1 CL-STFCC 完美自相關關係的驗證............................................85
5.3.2 CL-STFCC 之和完美自相關關係和互相關關係的驗証............92
第六章 最大天線數Nt=M的Extended CL-STFCC....................................... 105
6.1 產生方式...................................................................................................105
6.2 正交矩陣的產生方式...............................................................................107
6.3 Extended CL-STFCC 的完美正交性驗證............................................112
6.3.1 Extend CL-STFCC 完美自相關關係的驗證.............................112
6.3.2 擴展三維互補碼之和完美自相關關係和互相關關係的驗証...117
第七章 最大天線數Nt=M2 的Extended CL-STFCC...................................... 131
7.1 產生方式...................................................................................................131
7.2 正交矩陣的產生方式...............................................................................135
7.3 Extended CL-STFCC 的完美正交性驗證............................................139
7.3.1 Extend CL-STFCC 完美自相關關係的驗證.............................139
7.3.2 Extend CL-STFCC 之和完美自相關關係和互相關關係的驗証
....................................................................................................................144
第八章 Super CL-STFCC ..................................................................................... 157
8.1 產生方式...................................................................................................157
8.2 Super CL-STFCC 的完美正交性驗證..................................................162
8.2.1 Super CL-STFCC 完美自相關關係的驗證...............................162
8.2.2 Super CL-STFCC 之和完美自相關和互相關關係的驗證.......172
第九章 結論............................................................................................................. 185
參考文獻................................................................................................................... 187
附錄A 等效係數矩陣之同義性............................................................................. 189
附錄B List of CL-STFCC (1) ............................................................................. 193
附錄C List of CL-STFCC (2) ............................................................................. 217
附錄D List of Extended CL-STFCC (1)............................................................ 245
附錄E List of Extended CL-STFCC (2)............................................................ 273
附錄F List of Super CL-STFCC ........................................................................ 305

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