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研究生:古晉丞
研究生(外文):Jin-Cheng Gu
論文名稱:可配置極化碼連續消除解碼器之實現
論文名稱(外文):The Implementation of Configurable Successive Cancellation Polar Decoder
指導教授:王煥宗
指導教授(外文):Huan-Chun Wang
口試委員:林保宏黃德振劉建成王煥宗
口試委員(外文):Pao-hung LinDe-Jhen HuangJian-Cheng LiuHuan-Chun Wang
口試日期:2020-07-17
學位類別:碩士
校院名稱:國立臺灣科技大學
系所名稱:電子工程系
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:2020
畢業學年度:108
語文別:中文
論文頁數:58
中文關鍵詞:極化碼解碼器可配置解碼器超大型積體電路
外文關鍵詞:Polar DecoderConfigurable decoderVLSI
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本論文提出了可配置極化碼(Polar Code)逐次干擾抵銷(Successive Cancellation)解碼器超大型積體電路(VLSI)設計與實作,在硬體架構上以降低面積為目標。在新架構上利用降低硬體平行度方法減少運算元的數量,以達到用時間換取空間的效果,利用架構的特性,讓解碼器可以應對不同的碼長與碼率。本論文使用C與Matlab做為軟體的模擬環境,硬體驗證平台為Xilinx Zedboard 以及Virtex7 FPGA 開發板,積體電路設計使用TSMC 90nm CMOS製程技術進行實作。
論文內容包含極化碼介紹、連續刪除演算法、演算法模擬驗證、解碼器硬體架構、模擬結果及驗證,最後會介紹積體電路設計的流程及其中的參數。
This thesis presents the design and implementation of configurable successive cancellation (SC) polar decoder. Our goal of design is reducing the chip area and it can be implemented by VLSI. The decoder architecture reduces the number of processing units by reducing the hardware parallelism. By using the characteristic of this architecture, the decoder can match with different code length and code rate. This paper uses C and Matlab as the software simulation environment, and the hardware verification platform is Xilnix Zedboard and Virtex7 Board. The decoder is implemented using the TSMC 90nm CMOS technology.
This paper describes the introduction of polar code, successive cancellation decode algorithm, hardware architecture of decoder, simulation result and verification. The implement of VLSI will be introduced in the end of paper as a conclusion.
圖目錄 v
表目錄 viii
第1章 緒論 1
1.1 研究背景 1
1.2 文獻回顧 2
1.3 研究目標 2
1.4 論文架構 3
第2章 極化碼 4
2.1 極化碼介紹 4
2.1.1 基本概念介紹 4
2.1.2 記號說明 5
2.1.3 通道極化 5
2.1.3.1 通道組合 6
2.1.3.2 通道分裂 9
2.1.4 通道極化判定 11
2.2 極化碼 編碼方式介紹 15
2.3 Successive Cancellation 解碼方式介紹 16
第3章 演算法程式模擬與驗證 24
3.1 環境設定 24
3.2 程式解碼流程 29
3.2.1 Initial unit 30
3.2.2 Control unit 30
3.2.3 Decode unit 31
3.3 模擬效能 32
第4章 解碼器硬體架構 36
4.1 傳統硬體方塊圖 36
4.1.1 Main frame 37
4.1.1.1 g function PE 38
4.1.1.2 f function PE 39
4.1.1.3 Merged PE 40
4.1.2 Feedback unit 40
4.2 新型解碼器架構 42
4.3 FPGA模擬環境 44
4.4 FPGA解碼器效能模擬 45
第5章 晶片設計流程與參數選擇 47
5.1 晶片設計流程 47
5.2 記憶體的選擇 48
5.3 I/O Pad的選擇 50
5.4 硬體效能與文獻比較 53
第6章 結論與未來展望 55
參考文獻 56
[1] E. Arikan, "Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels," IEEE Transactions on Information Theory, vol. 55, no. 7, pp. 3051-3073, July 2009.
[2] 3GPP TSG RAN WG1 Meeting 87, November 2016
[3] I. Tal and A. Vardy, "List Decoding of Polar Codes," IEEE Transactions on Information Theory, vol. 61, no. 5, pp. 2213-2226, May 2015.
[4] K. Niu and K. Chen, "CRC-Aided Decoding of Polar Codes," IEEE Communications Letters, vol. 16, no. 10, pp. 1668-1671, October 2012.
[5] F. Yuan and B. Tian, "Double-Parity-Check CA-SCL Encoding and Decoding for Polar Codes," 2018 14th IEEE International Conference on Signal Processing (ICSP), pp. 747-751, Aug. 2018.
[6] E. Arikan, "A performance comparison of polar codes and Reed-Muller codes," IEEE Communications Letters, vol. 12, no. 6, pp. 447-449, June 2008.
[7] A. Elkelesh, M. Ebada, S. Cammerer, and S. ten Brink, "Belief Propagation List Decoding of Polar Codes," IEEE Communications Letters, vol. 22, no. 8, pp. 1536-1539, Aug. 2018.
[8] A. Balatsoukas-Stimming A. J. Raymond W. J. Gross and A. Burg "Hardware architecture for list successive cancellation decoding of polar codes" IEEE Trans. Circuits Syst. II Express Briefs vol. 61 no. 8 pp. 609-613 May 2014.
[9] O. Dizdar and E. Arıkan, "A High-Throughput Energy-Efficient Implementation of Successive Cancellation Decoder for Polar Codes Using Combinational Logic," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 63, no. 3, pp. 436-447, March 2016.
[10] R. Mori and T. Tanaka, "Performance of Polar Codes with the Construction using Density Evolution," IEEE Communications Letters, vol. 13, no. 7, pp. 519-521, July 2009
[11] P. Trifonov, "Efficient Design and Decoding of Polar Codes," IEEE Transactions on Communications, vol. 60, no. 11, pp. 3221-3227, November 2012.
[12] H. Zhang et al., "Parity-Check Polar Coding for 5G and Beyond," 2018 IEEE International Conference on Communications (ICC), Kansas City, MO, 2018, pp. 1-7, May 2018.
[13] X. Liu et al., “
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