鐘嘉德臺灣大學:電信工程學研究所黃致翔Huang, Chih-HsiangChih-HsiangHuang2010-07-012018-07-052010-07-012018-07-052008U0001-1607200812501800http://ntur.lib.ntu.edu.tw//handle/246246/188231正交分頻多工(orthogonal frequency-division multiplexed, OFDM)傳輸的功率峰均比(peak to average power ratio, PAPR)過高，一直是一個重要的問題。在實際應用上將導致信號失真及頻譜外溢。格雷互補序列(Golay complementary sequences)可以將相位鍵移(H-ary PSK)調變的正交分頻多工之功率峰均比限制在2之下。而格雷互補序列又可以由Reed-Muller碼所產生。本文首先探討的是Reed-Muller碼編碼前的訊息(message)中有某些元素，並不會影響整體的功率峰均比，以利我們降低計算功率峰均比的計算量。而後提出二階與三階的Reed-Muller碼中，擁有較低的功率峰均比的序列結構。Controlling the peak to average power ratio (PAPR) of orthogonal frequency-division multiplexed (OFDM) transmissions is a very important problem. Golay complementary sequences are well suited for use as codewords in OFDM, since their PAPR in -ary phase shift keying(PSK) modulation is at most 2. It is know that a family of polyphase Golay complementary sequences of length organized in cosets of a -ary generalization of the first-order Reed-Muller code, . In this thesis, we will discuss some PAPR equivalence property on the Reed-Muller codes. And some construction technique for cosets of with low PAPR is established.本文目錄謝......................................................i文摘要.................................................ii文摘要................................................iii一章 緒論...............................................1 第一節 正交分頻多工系統的發展與問題...................1 第二節 數種現今所使用的峰均功率比降低法...............4 第三節 研究動機.......................................6二章 Reed-Muller碼之功率峰均比性質......................7 第一節 正交分頻多工調變及其功率峰均比.................7 第二節 Reed-Muller碼.................................12 第三節 Reed-Muller碼中功率峰均比的相等性質...........17 第四節 具有低功率峰均比的二階Reed-Muller碼...........25三章 廣義Reed-Muller碼之功率峰均比.....................48 第一節 基本函數定義..................................48 第二節 擁有低功率峰均比的序列家族結構................56 第三節 擁有低峰均功率比的三階Reed-Muller碼之結構.....65四章 結論..............................................71考文獻.................................................72677526 bytesapplication/pdfen-USReed-Muller碼正交分頻多工調變功率峰均比布林函數格雷互補序列非週期性自相關函數Reed-Muller codeOrthogonal frequency division multiplexing (OFDM)peak to average power ratio (PAPR)Boolean functionGolay complementary sequencesaperiodic autocorrelationthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/188231/1/ntu-97-R95942114-1.pdf