過高的峰均值功率比(Peak to Average Power Ratio, PAPR)是正交分頻多工
(Orthogonal Frequency Division Multiplexing, OFDM)系統中的一個嚴重問題。
在眾多文獻所提出的解決方法之中，選擇性映射(Selected Mapping, SLM)是最吸
引人的一項技術，因為它降低PAPR 的效能非常顯著，而且不會造成子載波
(Subcarrier)的振幅失真。但是由於選擇性映射方法必須使用大量的反快速富麗
葉轉換(Inverse Fast Fourier Transform, IFFT)來產生候選訊號，所以選擇性映射
方法的運算複雜度相當的高。此外，選擇性映射技術在訊號傳輸時必須加上旁帶
資訊(Side Information)讓接收端知道傳送端候選訊號的相關資訊，更是會降低系
統的資料傳送速率。為了同時解決複雜度與頻寬使用效率的問題，我們將基於
[C.-P. Li, S.-H. Wang, and C.-L. Wang, “Novel low-complexity SLM schemes for
PAPR reduction in OFDM systems,” IEEE Trans. Signal Process., vol. 58, no. 5,
pp. 2916–2921, May 2010]這篇論文所提出的低複雜度架構III，在有領航訊號輔
助的OFDM 系統提出不用傳送旁帶資訊的方法。在本論文之中，我們藉由電腦
模擬得知此本論文所提出的方法，其位元錯誤率(Bit Error Rate, BER)效能與傳
統選擇性映射技術在已知旁帶資訊時的效能非常接近，因此我們所提出的方法不
但有低複雜度以及改進頻寬使用效率的優點，位元錯誤率的效能也很接近完美。

High peak to average power ratio (PAPR) is one of the major drawbacks in
orthogonal frequency division multiplexing (OFDM) systems. In recently years,
various methods have been proposed to reduce the PAPR performance. The
selected mapping (SLM) scheme is perhaps the most popular one because it
provides outstanding PAPR reduction performance. In addition, the subcarrier
magnitude remains the same in the SLM scheme. However, there are two major
shortcomings in the SLM scheme. First of all, it requires a number of inverse fast
Fourier transforms (IFFTs) to produce candidate signals, dramatically
increasing the computational complexity. In addition, side information has to be
transmitted to the receiver to indicate the candidate signal that results in the best
PAPR, leading to the decrease in bandwidth utilization. To overcome these two
drawbacks, this thesis proposes a novel SLM scheme that does not need side
information. The proposed scheme is based on a low complexity SLM scheme
[C.-P. Li, S.-H. Wang, and C.-L. Wang, “Novel low-complexity SLM schemes for
PAPR reduction in OFDM systems,” IEEE Trans. Signal Process., vol. 58, no. 5,
pp. 2916–2921, May 2010] in pilot-aided OFDM system. Simulation experiments
are conducted to verify the performance of the proposed scheme. It is shown that
the bit error rate (BER) performance of the proposed scheme is very similar to
that of the traditional SLM scheme with perfect knowledge of the side
information. Therefore, the proposed scheme not only has the advantages of low
complexity and high bandwidth utilization, but also has a superior BER
performance.

致謝............................................................................................................................... I
中文摘要....................................................................................................................... II
Abstract ........................................................................................................................ III
第一章 導論.................................................................................................................. 1
1.1 研究動機......................................................................................................... 2
1.2 論文架構......................................................................................................... 2
第二章 正交分頻多工系統與峰均值功率比.............................................................. 3
2.1 正交分頻多工系統的架構............................................................................. 3
2.2 領航訊號輔助之正交分頻多工系統架構..................................................... 5
2.3 正交分頻多工訊號的峰均值功率比............................................................. 6
第三章 常見降低PAPR 不傳旁帶資訊傳的方法 .................................................... 10
3.1 傳統SLM 架構 ............................................................................................ 10
3.2 傳統PTS 架構 .............................................................................................. 11
3.3 傳統PTS 和SLM 不傳旁帶資訊的方法 ................................................... 12
第四章 不傳旁帶資訊之系統架構............................................................................ 16
4.1 低複雜度傳送端架構................................................................................... 16
4.2 Propose Scheme I 候選訊號少無旁帶訊號降低PAPR ............................... 21
4.3 Propose Scheme II 多候選訊號下無旁帶訊號降低PAPR .......................... 26
第五章 PAPR 效能與BER、DER 模擬分析 ........................................................... 31
5.1 候選訊號少效能分析................................................................................... 31
5.2 多候選訊號效能分析................................................................................... 35
第六章 結論................................................................................................................ 39
參考文獻...................................................................................................................... 40
中英對照表.................................................................................................................. 45
縮寫對照表.................................................................................................................. 49

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