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研究生: 葉芷芸
Yeh, Chin-Yun
論文名稱: 針對無率碼用於訊息傳播譯碼的排程技巧
Scheduling Techniques for Rateless Codes using Belief Propagation Decoding
指導教授: 翁詠祿
Ueng, Yeong-Luh
口試委員: 王忠炫
唐宏驊
魏瑞益
翁詠祿
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2011
畢業學年度: 99
語文別: 英文
論文頁數: 47
中文關鍵詞: 無率碼排程技巧
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  • 盧比轉換代碼主要是針對近來網路越來越發達以及廣播系統愈增廣泛使用,為了因應各個使用者不同的通道環境都能夠切確的的解碼成功所設計的一套編碼方法, 其屬無率碼的一種, 碼率視各個通道狀況不同而定, 故能有效的利用每個碼位元, 而猛禽碼是用一個外碼來改善盧比轉換代碼會造成的錯誤地板, 能在較低的碼率就解碼成功。而這篇論文主要是針對上述的兩種無率碼所提出不同的解碼方式以期可以在較低的碼率就解碼成功。又由於部分誤碼性能之間的權衡,解碼複雜性和無率碼的編碼率, 組合增量解碼和知情的動態調度, 被稱為知情的動態調度的增量解碼, 對二元對稱通道是一個有吸引力的解決方案。然而, 應用知情的動態調度的增量解碼在可加性白雜訊高斯通道可能會導致一種降解的錯誤率性能。在逐步接收符號在可加性白雜訊高斯通道可能不會立即利用在解碼過程導演知情的動態調度, 這違反了基本理念無率碼。另一方面, 一個停止準則相結合與知情的動態調度可能導致當前解碼試圖終止太早, 和信道信息包含在最初收到的碼字不會得到有效利用。在此提出了一種新的動態解碼調度策略建議。在建議解碼器, 新的接收符號, 可立即使用的解碼過程。對於盧比變換代碼和猛禽碼一個多可加性白雜訊高斯通道, 該算法提供了更平衡折衷。在猛禽碼, 誤碼率性能有明顯提高。


    As part of the tradeoff between error performance, decoding complexity
    and the overhead of rateless codes, the combination of incremental decoding
    (ID) and informed dynamic scheduling (IDS), known as IDIDS, is an attractive
    solution in binary symmetric channel (BSC). However, applying IDIDS
    in an AWGN channel may cause a degradation in BER performance. The
    incrementally received symbols from the AWGN channel may not be immediately
    utilized in the decoding process directed by IDS, which violates the
    basic idea of rateless codes. On the other hand, a stopping criterion combined
    with IDS may cause the current decoding attempt to terminate too early, and
    the channel information contained in the originally received codeword will
    not be used efficiently. In this paper, a new dynamic decoding schedule strategy
    is proposed. In the proposed decoder, the new received symbols can be
    immediately utilized in the decoding process. For Luby transform (LT) codes
    and Raptor codes over an AWGN channel, the proposed algorithm provides
    a more balanced tradeoff. In the case of Raptor codes, the BER performance
    is obviously improved.

    Abstract I 中文摘要I 1 Introduction 1 2 Review Rateless Codes and Techniques for BP Decoding 3 2.1 Background ...3 2.2 Encoding rateless Codes...4 2.2.1 LT Encoding...4 2.2.2 LT Degree Distributions...7 2.2.3 Raptor Encoding ...8 2.3 Decoding Rateless Codes ...9 2.4 Scheduling Techniques for BP Decoding ...10 2.4.1 Flooding (FL) Scheduling Technique for BP Decoding ..12 2.4.2 Layered Scheduling Technique for BP Decoding (LBP) 12 2.4.3 Informed Dynamic Scheduling Technique (IDS) for BP Decoding ..12 2.5 Incremental Decoding (ID) of Rateless Codes ...17 2.6 Decoding with Early Termination for Rateless Codes...19 2.7 Incremental Decoding with Informed Dynamic Scheduling (IDIDS)for BP Decoding ...19 2.8 The Stopping Criterion for IDIDS ...20 3 Modified Scheduling Techniques for rateless codes using Decoding...23 3.1 Another Technique for Incremental Decoding of IDS ...23 3.2 Another test for the stopping criterion in Section 2.8 ...24 3.3 Modified Quota-Based Updates on Nodes for BP Decoding ...24 3.4 Modified Two-staged IDS ...25 3.5 Proposed FL combined with Node-wise RBP...27 3.6 Min-sum ...27 4 Simulation Results 29 4.1 Simulations for LT Codes...29 4.2 Simulations for Raptor Codes...36 5 Conclusion 45 Bibliography 46

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    618, Feb. 2001.
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    618, Feb 2001.
    [9] F.R. Kschischang, B.J. Frey, and H.A. Loeliger, “Factor graphs and the sumproduct algorithm,” IEEE Trans Inform Theory, vol. 47, pp.498-519, Feb 2001.
    [10] P.Radosavljevic, A. de Baynast, and J.R. Cavallaro, “Optimized message passing schdeules for ldpc decoding,” 39th Asilomar Conference Signals, Systems and Computers, pp.591-595, 2005.
    [11] K.Hu, J. Castura, and Y.Mao, “Reduced-complexity decoding of Raptor codes over fading channels,” IEEE Global Communication Conference Nov-Dec 2006.
    [12] Saejoon Kim; Ko,K ; Jun Heo and Ji-hwan Kim, “Two-staged informed dynamic scheduling for sequential belief propagation decoding of LDPC codes,”IEEE Communication Letters, vol.13, pp.193-195, 2009.
    [13] Shan-Ming Yeh, “Dynamic Scheduling Algorithm Using Modified Residual Belief Propagation for UEP LDPC Codes,” master thesis, Department of Electronice Engineering, National Tsing Hua Universit, Hsinchu, Taiwan, R.O.C.,
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    of low-density parity check codes based on belief propagation,” IEEE
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