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研究生: 劉仲恩
Zhong-En Liu
論文名稱: 極化碼置信度傳播位元翻轉解碼的平行化
Parallelization of Polar Code Belief Propagation bit flip decoder
指導教授: 王煥宗
Huan-Chun Wang
口試委員: 林保宏
黃德振
李日暐
學位類別: 碩士
Master
系所名稱: 電資學院 - 電子工程系
Department of Electronic and Computer Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 67
中文關鍵詞: 極化碼置信度傳播解碼置信度傳播位元翻轉解碼置信度傳播列表解碼一致化因子圖
外文關鍵詞: Polar Code, Belief Propagation decoder, BP bit flip decoder, BPL decoder, uniform factor graph
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  • 本論文著重在改善極化碼置信度傳播位元翻轉解碼的高疊代次數帶來的高延遲。透過分析演算法的方式,得知平行化在位元翻轉解碼的流程中是可行的,以此提出平行化的流程與架構,能夠以倍數縮減冗長的位元翻轉流程。若進一步將演算法中前半的BP decoder替換成BPL,能夠更有效利用架構中的BP decoder,達到再減少疊代次數的效果。架構中藉由一致化因子圖(uniform factor graph)來降低設計複雜度,基於bit-index置換的BPL則有助於將其整合進架構中。


    This thesis is to a new structure for reducing the latency of Polar Code Belief Propagation Bit Flip Decoder. By analyzing the original algorithm of Bit Flip Decoder, we propose a flow and a structure of parallelized Bit Flip Decoder. Our proposed methods use much fewer iteration number than conventional ones. To further to reduce iteration number, we replace BP decoder by BPL. This way, we make our proposed method more efficient.

    摘要 i 章節目錄 iii 圖目錄 v 表目錄 vii 第一章 緒論 1 1.1 研究背景 1 1.2 論文架構 2 第二章 現有極化碼置信度傳播解碼技術 3 2.1 極化碼簡介 3 2.1.1 通道極化 3 2.1.2 建構極化碼 5 2.1.3 極化碼編碼 5 2.2 置信度傳播解碼(Belief Propagation decoder) 6 2.2.1 因子圖(factor graph)選擇 6 2.2.2 疊代過程 7 2.2.3 提早停止疊代(early stop) 9 2.2.4 高斯近似(Gaussian Approximant, GA) 10 2.2.5 BP解碼常用的因子圖(factor graph) 11 2.2.6 BP decoder模擬驗證 12 2.2.6.1 Conventional BP decoder驗證 12 2.2.6.2 Uniform factor graph等效性驗證 15 2.3 置信度傳播位元翻轉解碼(Belief Propagation bit flip decoder) 18 2.3.1 Critical Set (CS) 18 2.3.2 建構CS-ω 19 2.3.3 基於CS-ω的位元翻轉解碼 19 2.3.4 位元翻轉解碼驗證 22 2.4 置信度傳播列表解碼(Belief Propagation List decoder, BPL) 24 2.4.1 因子圖的置換(Permuted factor graph) 25 2.4.2 BPL架構 29 2.4.3 如何挑選因子圖 30 2.4.4 BPL模擬驗證 30 2.5 Bit-index置換的BPL解碼方式 33 2.5.1 Stage置換與bit-index置換的關係 33 2.5.2 Stage置換BPL與bit-index置換BPL等效性驗證 37 第三章 置信度傳播位元翻轉解碼演算法改良與架構設計 41 3.1 置信度傳播位元翻轉解碼的平行處理 41 3.1.1 原位元翻轉演算法架構設計 41 3.1.2 平行化的演算法與架構設計 43 3.1.3 原始演算法與平行化架構比較 46 3.2 置信度傳播列表解碼降低位元翻轉解碼延遲的可行性 49 3.2.1 改造BPL 49 3.2.2 BP、BPL與改造BPL在錯誤率與疊代次數的比較 50 3.3 基於bit-index置換的BPL與位元翻轉解碼結合的架構 53 3.3.1 結合BPL的位元翻轉流程與架構 53 3.3.2 使用BPL的架構模擬與比較 58 第四章 結論及未來展望 64 參考文獻 65

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