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基于变量节点更新的交替方向乘子法 LDPC惩罚译码算法

贺文武 夏巧桥 邹炼

贺文武, 夏巧桥, 邹炼. 基于变量节点更新的交替方向乘子法 LDPC惩罚译码算法[J]. 电子与信息学报, 2018, 40(1): 95-101. doi: 10.11999/JEIT170358
引用本文: 贺文武, 夏巧桥, 邹炼. 基于变量节点更新的交替方向乘子法 LDPC惩罚译码算法[J]. 电子与信息学报, 2018, 40(1): 95-101. doi: 10.11999/JEIT170358
HE Wenwu, XIA Qiaoqiao, ZOU Lian. Alternating Direction Method of Multipliers LDPC Penalized Decoding Algorithm Based on Variable Node Update[J]. Journal of Electronics & Information Technology, 2018, 40(1): 95-101. doi: 10.11999/JEIT170358
Citation: HE Wenwu, XIA Qiaoqiao, ZOU Lian. Alternating Direction Method of Multipliers LDPC Penalized Decoding Algorithm Based on Variable Node Update[J]. Journal of Electronics & Information Technology, 2018, 40(1): 95-101. doi: 10.11999/JEIT170358

基于变量节点更新的交替方向乘子法 LDPC惩罚译码算法

doi: 10.11999/JEIT170358
基金项目: 

国家自然科学基金(61501334),华中师范大学中央高校基本科研业务费(CCNU16A05028)

Alternating Direction Method of Multipliers LDPC Penalized Decoding Algorithm Based on Variable Node Update

Funds: 

The National Natural Science Foundation of China (61501334), The Fundamental Research Funds for the Central Universities of CCNU (CCNU16A05028)

  • 摘要: 基于交替方向乘子法(ADMM)的改进惩罚函数LDPC译码算法能够提升译码性能,但其所需优化参数过多且性能提升有限。针对该问题,将该算法与其它带有惩罚函数的译码算法比较后发现,两者的不同之处仅在于译码算法中变量节点的更新规则不同。因此,该文通过构造一种新的变量节点的更新方法去减少优化参数数目并提升译码性能。实验仿真表明,相较于原有算法,该文所提算法有效减少了所需优化的参数数目,此外,所提算法的平均迭代次数更少且能实现约0.1 dB的性能提升。
  • FELDMAN J, WAINWRIGHT M J, and KARGER D R. Using linear programming to decode binary linear codes[J]. IEEE Transactions on Information Theory, 2005, 51(3): 954-972. doi: 10.1109/TIT.2004.842696.
    CHILAPPAGARI S K, CHERTKOV M, and VASIC B. An efficient instanton search algorithm for LP decoding of LDPC codes over the BSC[J]. IEEE Transactions on Information Theory, 2011, 57(7): 4417-4426. doi: 10.1109/TIT.2011. 2146670.
    BURSHTEIN D and GOLDENBERG I. Improved linear programming decoding of LDPC codes and bounds on the minimum and fractional distance[J]. IEEE Transactions on Information Theory, 2011, 57(11): 7386-7402. doi: 10.1109/ TIT.2011.2162224.
    FELDMAN J, MALKIN T, SERVEDIO R A, et al. LP decoding corrects a constant fraction of errors[J]. IEEE Transactions on Information Theory, 2007, 53(1): 82-89. doi: 10.1109/TIT.2006.887523.
    BAZZI L, GHAZI B, and URBANKE R L. Linear programming decoding of spatially coupled codes[J]. IEEE Transactions on Information Theory, 2014, 60(8): 4677-4698. doi: 10.1109/TIT.2014.2325903.
    BARMAN S, LIU Xishuo, DRAPER S C, et al. Decomposition methods for large scale LP decoding[J]. IEEE Transactions on Information Theory, 2013, 59(12): 7870-7886.
    WEI Haoyuan, JIAO Xiaopeng, and MU Jianjun. Reduced- complexity linear programming decoding based on ADMM for LDPC codes[J]. IEEE Communication Letters, 2015, 19(6): 909-912. doi: 10.1109/LCOMM.2015.2418261.
    JIAO Xiaopeng, MU Jianjun, HE Yucheng, et al. Efficient ADMM decoding of LDPC codes using look-up tables[J]. IEEE Transactions on Communications, 2017, 19(4): 271-285. doi: 10.1109/TCOMM.2017.2659733.
    DEBBABI I, GAL B L, KHOUJA N, et al. Fast converging ADMM penalized algorithm for LDPC decoding[J]. IEEE Communication Letters, 2016, 20(4): 648-651. doi: 10.1109 /LCOMM.2016.2531040.
    DEBBABI I, GAL B L, KHOUJA N, et al. Comparison of different schedulings for the ADMM based LDPC decoding[J]. International Symposium on Turbo Codes Iterative Information Processing, 2016, 20(4): 51-55. doi: 10.1109/ ISTC.2016.7593075.
    LIU Xishuo and DRAPER S C. The ADMM penalized decoder for LDPC codes[J]. IEEE Transactions on Information Theory, 2016, 62(6): 2966-2984. doi: 10.1109/ TIT.2016.2555847.
    LIU Xishuo. ADMM decoding of LDPC and multipermutation codes: from geometries to algorithms[D]. [Ph.D. dissertation], University of Wisconsin, 2015.
    JIAO Xiaopeng, WEI Haoyuan, and MU Jianjun. Improved ADMM penalized decoder for irregular low-density parity-check codes[J]. IEEE Communication Letters, 2015, 19(6): 913-916. doi: 10.1109/LCOMM.2015.2421445.
    WANG Biao, MU Jianjun, JIAO Xiaopeng, et al. Improved penalty functions of ADMM decoder for LDPC codes[J]. IEEE Communication Letters, 2016, 21(99): 234-237. doi: 10.1109/LCOMM.2016.2627575.
    WASSON M and DRAPER S C. Hardware based projection onto the parity polytope and probability simplex[C]. IEEE Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, 2015: 1015-1020.
    ZHANG Xiaojie and SIEGEL P H. Adaptive cut generation algorithm for improved linear programming decoding of binary linear codes[J]. IEEE Transactions on Information Theory, 2012, 58(10): 6581-6594. doi: 10.1109/TIT.2012. 2204955.
    STORN R and PRICE K. Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces[J]. Journal of Global Optimization, 1997, 11(4): 341-359. doi: 10.1023/A:1008202821328.
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出版历程
  • 收稿日期:  2017-04-20
  • 修回日期:  2017-10-20
  • 刊出日期:  2018-01-19

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