本篇論文研究以扎德奧夫-朱序列預先編碼矩陣的方法探討降低PAPR。扎德奧夫-朱矩陣(Zadoff-Chu matrix Transform，ZCT)為一種符元擾亂技術，與其他符元擾亂技術相比如SLM或PTS，ZCT方法有較好的PAPR降低效果與較低的計算複雜度。Pilot子載波為OFDM系統中最重要的一個參數，在OFDM系統中用來作為通道估計的重要功能，但是在使用扎德奧夫-朱矩陣或SLM或PTS降低PAPR的方法中再插入Pilot子載波到OFDM符元時，會使原本降低PAPR的效果變差。
大同大學通訊所廖玄鈞2009年的碩士論文研究指出預先編碼的方式降低PAPR的效果是最好的，本篇論文模擬以扎德奧夫-朱矩陣(Zadoff-Chu matrix Transform，ZCT)的方法並與預先編碼10%的方式作比較。當系統插入Pilot的條件下， ZCT與預先編碼的方式降低PAPR的效果一樣，但由於ZCT不需要像預先編碼的方式那樣使用額外的載波，所以ZCT會是更好的降低PAPR的方法。

This thesis is dedicated to the study of the Zadoff-Chu matrix Transform for PAPR reduction. Zadoff-Chu matrix Transform is the symbols scrambling technique for PAPR reduction，this method has best capability of PAPR reduction and lower computational complexity when compared with other scrambling techniques such as SLM and PTS. Pilot subcarriers are the most important parameter in OFDM system for channel estimation. However, pilot subcarriers inserted into OFDM system will impacted the PAPR reduction in Zadoff-Chu matrix Transform，SLM or PTS.
In H.C. Liao’s thesis on Tatung University, Jan 2009， to know precoding is the best way for PAPR reduction. In this thesis we simulated by Zadoff-Chu matrix Transform and compare with precoding 10% for PAPR reduction. When system with pilot insertion，ZCT and precoding have same PAPR reduction，but due to ZCT doesn’t use more sub carried as precoding，so ZCT is the better way for PAPR reduction.

誌謝 i
ABSTRACT ii
中文摘要 iii
目錄 iv
圖目錄 i
表目錄 iv
第一章 緒論 1
1.1緒言 1
1.2研究動機與目標 1
1.3論文結構 2
第二章 正交分頻多工與PAPR及ZC簡介 3
2.1正交分頻多工前言 3
2.1.1正交分頻多工原理 4
2.1.2正交特性 5
2.1.3 OFDM系統架構簡介 6
2.2 OFDM系統中PAPR的問題 10
2.2.1 PAPR定義 10
2.2.2 高PAPR值衍生的問題 14
2.2.3 OFDM訊號上PAPR的描述 16
2.2.4 降低PAPR的方法 18
2.3 扎德奧夫-朱(Zadoff-Chu；ZC)序列 19
2.3.1扎德奧夫-朱序列公式 20
2.3.2扎德奧夫-朱序列矩陣(ZCT) 21
第三章 WiMax簡介 24
3.1 IEEE 802.16和WiMAX背景 24
3.2 WiMAX的OFDM系統參數 26
3.3 WiMAX的可適應性調變(Adaptive modulation)和編碼 28
3.4小結 29
第四章 系統模擬與探討 30
4.1模擬參數 30
4.2 ZCT模擬之方法 30
4.3 ZCT模擬CCDF之結果 35
第五章 總結與未來研究 42
5.1 模擬結果分析 42
5.2 結論 43
5.3 未來研究 44
參考文獻 45

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