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研究生： 林主榮
Chu-jung Lin
論文名稱： 使用查表法相差編碼之進階結果
Further results on differential encoding by a table
指導教授： 魏瑞益
Ruey-yi Wei
口試委員:
學位類別： 碩士
Master
系所名稱： 資訊電機學院 - 通訊工程學系
Department of Communication Engineering
畢業學年度： 99
語文別： 中文
論文頁數： 45
中文關鍵詞： 相差編碼 、查表法
外文關鍵詞： look-up table, differential encoding
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    • 最近所提出以查表法運用在QAM的相差編碼可以有效降低差分編碼的複雜度與改善其錯誤效能。本篇論文以此做延伸，除了改善並找出16APSK與16TAPSK使用的最佳差分編碼表，更針對由2000年所提出的差分時空調變為其提出一種新的差分編碼方式，利用查表法以避免星座圖上的傳送符號發生擴展問題；此外，查表法的差分編碼等效於籬柵式的差分編碼，在差分檢測器的部分利用維特比演算法，藉由增加限制長度以改善錯誤效能，並提出一定理以降低在差分時空調變籬柵解碼的狀態數量。

    Differential encoding by a look-up table for QAM was proposed recently. It can reduce complexity of differential encoding and improve the error performance. In this thesis, we find a better differential encoding table for 16APSK and 16TAPSK; moreover, we propose a new differential encoding method for differential space-time modulation (DSTM), which was proposed in 2000. The new differential encoding method uses a look-up table to avoid the expansion of the constellation of the transmitted signals; we show that, differential encoding by a table is equivalent to differential encoding by a trellis. We use the Viterbi algorithm at the differential detector, and increase truncation length to improve the error performance, and propose a theorem to reduce the number of states of the decoding trellis.

    摘要 I Abstract II 誌謝 III 目錄 IV 圖表目錄 VI 第一章 緒論 1 1.1 介紹 1 1.2 研究動機 2 第二章 回顧使用在M-ary QAM之差分編碼查表法 3 2.1 建立差分編碼表 3 2.1.1 符號定義 3 2.1.2 主要演算法 4 2.1.3 整理群組的演算法一 6 2.2 16-ary QAM的差分編碼表 7 2.2.1 通道模型 7 2.2.2 建立16QAM的差分編碼表 7 2.2.3 兩符號差分檢測 12 2.2.4 比較16QAM編碼表與16APSK編碼表 13 第三章 16APSK與16TAPSK差分編碼表最佳化 15 3.1 16APSK的環比例 15 3.2 16TAPSK的環比例 19 第四章 以查表法建構的新差分時空調變 23 4.1 通道模型 23 4.2 回顧傳統差分時空調變 24 4.2.1 群組星座圖 24 4.2.2 解碼器 28 4.3 建構差分時空調變的差分編碼表 32 4.4 以QPSK星座圖建立的差分編碼表 33 第五章 結論 43 參考文獻 44

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