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研究生:黃昱魁
研究生(外文):HUANG, YU-KUEI
論文名稱:針對有編碼旁消息的接收器之極化碼編碼暨解碼之研究
論文名稱(外文):Polar Codes for Informed Receivers with Coded Side Information
指導教授:許裕彬黃昱智黃昱智引用關係
指導教授(外文):HSU, YU-PINHUANG, YU-CHIH
口試委員:陳伯寧黃昱智謝欣霖許裕彬
口試委員(外文):CHEN, PO-NINGHUANG, YU-CHIHSHIEH, SHIN-LINHSU, YU-PIN
口試日期:2020-07-24
學位類別:碩士
校院名稱:國立臺北大學
系所名稱:通訊工程研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2021
畢業學年度:109
語文別:中文
論文頁數:35
中文關鍵詞:極化碼編碼旁消息
外文關鍵詞:Polar CodesCoded Side Information
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  • 下載下載:23
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傳送數個獨立訊息至已得到編碼旁消息的接收器,而這些編碼旁消息是獨立訊息的線性組合,是我們主要研究的問題。在本論文中,我們建構一種極化碼,可以有效地利用訊息旁消息和編碼旁消息。首先,我們定義了一個「旁消息矩陣」可以有效地描述編碼旁消息,使每個旁消息配置都可以用一個旁消息矩陣來表示。以這樣的表示形式,我們便能用矩陣的秩來估量編碼旁消息擁有的消息量,以及將訊息旁消息配置視為一種編碼旁消息的特例。其次,我們採用了Huang and Shieh, IEEE Commun. Lett., vol. 22, no. 10, pp. 2000-2003, Oct. 2018中的極化碼建構方式。這個方式使每組編碼旁消息可以提供接近的旁消息增益。接著,我們提出了一個新穎的解碼器,分別處理訊息旁消息和編碼旁消息。在此解碼器中,訊息旁消息位元被視為凍結位元,而編碼旁消息被視為在經典的CA-SCL解碼器中額外的CRC位元。最後但同樣重要的是,模擬結果顯示我們提出的設計可以讓旁消息增益與接收器擁有的旁消息量是等比例的。
The problem of sending independent messages to a receiver, which has already been informed with coded side information (CSI) is studied. The coded side information is in the form of linear combinations of independent messages. In this thesis, we construct polar codes that can efficiently exploit both message side information and coded side information. First, we define the side information matrix to efficiently describe CSI so that every side information configuration can be represented by a side information matrix. This representation allows us to use the rank of the matrix to measure the amount of information revealed by CSI and subsumes the message side information configurations as special cases. Second, we adopt the polar code construction in Huang and Shieh, IEEE Commun. Lett., vol. 22, no. 10, pp. 2000-2003, Oct. 2018 . It makes the amount of gain provided by CSI roughly the same. We then propose a novel decoder that separately treats the message and coded side information. In the proposed decoder, the message side information bits are treated as extra frozen bits and the CSI bits are treated as additional CRC bits in a traditional CRC-aided successive cancellation list decoder. Last but not least, simulation results are provided to confirm that the proposed design is able to provide side information gain proportional to the amount of side information available at the receiver.
致謝 1
摘要 2
目錄 3
圖目錄 4
第一章 緒論 5
1.1 文獻回顧 6
1.2 研究動機和主要貢獻 6
第二章 問題陳述與背景 8
2.1 問題陳述 8
2.2 極化碼 9
2.3 有訊息旁消息的接收器之極化碼 14
第三章 有編碼旁消息的接收器之極化碼 16
3.1 旁消息矩陣 16
3.2 極化碼編碼 18
3.3 旁消息解碼器 19
第四章 模擬結果 24
4.1 訊息旁消息增益 25
4.2 編碼旁消息增益 29
第五章 結論 33
參考文獻 34
[1]L. Natarajan, Y. Hong and E. Viterbo, "Lattice index coding", IEEE Trans. Inf. Theory, vol. 61, no. 12, pp. 6505-6525, Dec. 2015.
[2]Y. C. Huang, "Lattice index codes from algebraic number fields", IEEE Trans. Inf. Theory, vol. 63, no. 4, pp. 2098-2112, Apr. 2017.
[3]Y.-C. Huang, Y. Hong, E. Viterbo and L. Natarajan, "Layered space-time index coding", IEEE Trans. Inf. Theory, vol. 65, no. 1, pp. 142-158, Jan. 2019.
[4]L. Xiao et al., "A network coding approach to cooperative diversity", IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3714-3722, Oct. 2007.
[5]Y. Ma et al., "Multiple interpretations for multi-source multi-destination wireless relay network coded systems", Proc. IEEE Int. Symp. Pers. Indoor Mobile Radio Commun. (PIMRC), pp. 2253-2258, Sep. 2012.
[6]C. A. Kelley and J. Kliewer, "Algebraic constructions of graph-based nested codes from protographs", Proc. IEEE ISIT, pp. 829-833, Jun. 2010.
[7]L. Natarajan et al., "New error correcting codes for informed receivers", Proc. IEEE ISIT, pp. 2839-2843, Jul. 2016.
[8]E. Arıkan, "Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels", IEEE Trans. Inf. Theory, vol. 55, no. 7, pp. 3051-3073, Jul. 2009.
[9]Y. Huang and S. Shieh, "Polar Codes for Informed Receivers," in IEEE Communications Letters, vol. 22, no. 10, pp. 2000-2003, Oct. 2018,
[10]I. Tal and A. Vardy, "List decoding of polar codes", IEEE Trans. Inf. Theory, vol. 61, no. 5, pp. 2213-2226, May 2015.

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