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基于新停止准则的多进制LDPC码加权符号翻转译码算法

刘冰 陶伟 窦高奇 高俊

刘冰, 陶伟, 窦高奇, 高俊. 基于新停止准则的多进制LDPC码加权符号翻转译码算法[J]. 电子与信息学报, 2011, 33(2): 309-314. doi: 10.3724/SP.J.1146.2010.00257
引用本文: 刘冰, 陶伟, 窦高奇, 高俊. 基于新停止准则的多进制LDPC码加权符号翻转译码算法[J]. 电子与信息学报, 2011, 33(2): 309-314. doi: 10.3724/SP.J.1146.2010.00257
Liu Bing, Tao Wei, Dou Gao-Qi, Gao Jun. Weighted Symbol-flipping Decoding for Nonbinary LDPC Codes Based on a New Stopping Criterion[J]. Journal of Electronics & Information Technology, 2011, 33(2): 309-314. doi: 10.3724/SP.J.1146.2010.00257
Citation: Liu Bing, Tao Wei, Dou Gao-Qi, Gao Jun. Weighted Symbol-flipping Decoding for Nonbinary LDPC Codes Based on a New Stopping Criterion[J]. Journal of Electronics & Information Technology, 2011, 33(2): 309-314. doi: 10.3724/SP.J.1146.2010.00257

基于新停止准则的多进制LDPC码加权符号翻转译码算法

doi: 10.3724/SP.J.1146.2010.00257

Weighted Symbol-flipping Decoding for Nonbinary LDPC Codes Based on a New Stopping Criterion

  • 摘要: 为了降低多进制低密度奇偶校验(Low-Density Parity-Check,LDPC)码译码算法的复杂度,该文提出了基于新停止准则的符号翻转译码算法。该算法根据翻转函数和接收比特可靠性度量来确定对应的翻转符号,通过分析不满足校验方程个数的变化趋势来提前终止迭代。仿真结果表明,新算法在保持原有符号翻转译码算法误码性能不变的情况下,极大地减少了译码迭代次数,取得了译码性能和复杂度的折衷。
  • [1] Gallager R G. Low-Density Parity-Check Codes[J].IRE Transactions on Information Theory.1962, 8(1):21-28 [2] Mackay D J C and Neal R M. Near Shannon limit performance of low-density parity-check codes[J].Electronics Letters.1996, 32(18):1645-1646 [3] 陈俊斌. 多进制LDPC码与RS码的性能比较研究[D]. [硕士论文], 厦门大学, 2006. [4] Davey M C and MacKay D. Low-density parity check codes over GF(q)[J].IEEE Communications Letters.1998, 2(6):165-167 [5] Wymeersch H, Steendam H, and Moeneclaey M. Log-domain decoding of LDPC codes over GF(q)[C]. IEEE International Conference on Communications, Paris, France, 2004: 772-776. [6] Barnault L and Declercq D. Fast decoding algorithm for LDPC over GF(2q)[C]. IEEE Information Theory Workshop, Paris, France, 2003: 70-73. [7] Song H and Cruz J R. Reduced-complexity decoding of Q-ary LDPC codes for magnetic recording[J].IEEE Transactions on Magnetics.2003, 39(2):1081-1087 [8] Declercq D and Fossorier M. Decoding algorithms for nonbinary LDPC codes over GF(q)[J].IEEE Transactions on Communications.2007, 55(4):633-643 [9] Sun Y, Zhang Y, Hu J, and Zhang Z. FPGA implementation of nonbinary quasi-cyclic LDPC decoder based on EMS algorithm[C]. International Conference on Communications, Circuits and Systems, Milpitas, California, 2009: 1061-1065. [10] Liu B, Gao J, Dou G, and Tao W. Weighted symbol-flipping decoding for nonbinary LDPC codes[C]. 2nd International Conference on Networks Security, Wireless Communications and Trusted Computing, Wuhan, China, 2010: 223-226. [11] Zhou W, Men A, and Quan Z. Early stopping for the iterative decoding for Q-LDPC[J].The Journal of China Universities of Posts and Telecommunications.2008, 15(1):28-31 [12] Chen X, Men A, and Zhou W. A stopping criterion for nonbinary LDPC codes over GF(q)[C]. 11th IEEE Singapore International Conference on Communication Systems, Guangzhou, China, 2008: 1312-1315. [13] Zeng L, Lan L, Tai Y Y, Song S, Lin S, and Abdel-Ghaffar K. Constructions of nonbinary quasi-cyclic LDPC codes: a finite field approach[J].IEEE Transactions on Communications.2008, 56(4):545-554 [14] Song S, Zhou B, Lin S, and Abdel-Ghaffar K. A unified approach to the construction of binary and nonbinary quasi-cyclic LDPC codes based on finite fields[J].IEEE Transactions on Communications.2009, 57(1):84-93
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出版历程
  • 收稿日期:  2010-03-18
  • 修回日期:  2010-10-25
  • 刊出日期:  2011-02-19

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