高性能时不变LDPC卷积码构造算法研究

穆丽伟; 刘星成; 张涵

doi:10.11999/JEIT151376

高性能时不变LDPC卷积码构造算法研究

doi: 10.11999/JEIT151376

基金项目:

国家自然科学基金(61401164, 61572534, 60141176, 61002012, 61501126)，广东省自然科学基金(2014A030310308, S2013010016297)，广东省优秀青年教师培养计划(YQ2015046)

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出版历程
- 收稿日期: 2015-12-08
- 修回日期: 2016-05-06
- 刊出日期: 2016-09-19

New Ensemble of Time-invariant LDPC Convolutional Codes with High Performance

Funds:

The National Natural Science Foundation of China (61401164, 61572534, 60141176, 61002012, 61501126), The Natural Science Foundation of Guangdong Province of China (2014A030310308, S2013010016297), The High Education Excellent Young Teacher Program of Guangdong Province (YQ2015046)

摘要

摘要: 该文基于由QC-LDPC码获得时不变LDPC卷积码的环同构方法，设计了用有限域上元素直接获得时不变LDPC卷积码多项式矩阵的新算法。以MDS卷积码为例，给出了一个具体的构造过程。所提构造算法可确保所获得的时不变LDPC卷积码具有快速编码特性、最大可达编码记忆以及设计码率。基于滑动窗口的BP译码算法在AWGN信道上的仿真结果表明，该码具有较低的误码平台和较好的纠错性能。
- LDPC卷积码 /
- 有限域 /
- 快速编码 /
- 时不变 /
- 最大编码记忆
Abstract: In this paper, a new ensemble of the polynomial matrix of a time-invariant LDPC convolutional code is proposed. Based on the method of deriving time-invariant LDPC convolutional codes from QC (Quasi-Cyclic)- LDPC block codes, the elements over finite fields are used to generate directly the polynomial parity-check matrices of LDPC convolutional codes. A concrete example of using MDS (Maximum-Distance Separable) convolutional codes to derive the polynomial matrices is given. The proposed method ensures the fast encoding property, maximum encoding memory and designed rate. Simulation results show that the proposed LDPC convolutional codes exhibit low error floor and good decoding performance under BP (Belief Propagation) decoding algorithm over AWGN (Additive White Gaussian Noise) channel.
- LDPC convolutional codes /
- Finite fields /
- Fast encoding /
- Time-invariant /
- Maximum encoding memory

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参考文献(15)

FELTSTROM A and ZIGANGIROV K. Time-varying periodic convolutional codes with low-density parity-check matrix[J]. IEEE Transactions on Information Theory, 1999, 45(6): 2181-2191.

BOCHAROVA I, KUDRYASHOV B, and JOHANNESSON R. Searching for binary and nonbinary block and convolutional LDPC codes[J]. IEEE Transactions on Information Theory, 2016, 62(1): 163-183.

ZHAO Yue and LAU F. Implementation of decoders for LDPC block codes and LDPC convolutional codes based on GPUs[J]. IEEE Transactions on Parallel and Distributed Systems, 2015, 25(3): 663-672.

ZHOU Hua and GOERTZ N. Recoverability of variable nodes in periodically punctured LDPC convolutional code[J]. IEEE Communications Letters, 2015, 19(4): 521-524.

BALDI M, CANCELLIERI G, and CHIARALUCE F. Array convolutional low-density parity-check codes[J]. IEEE Communications Letters, 2014, 18(2): 336-339.

GIOULEKAS F, PETROU C, VGENIS A, et al. On the construction of LDPC convolutional code ensembles based on permuted circulant unit matrices[C]. IEEE International Conference on Electronics, Circuits and Systems, Marseille, 2014: 407-410.

JUNHO C and SCHMALEN L. Construction of protographs for large-girth structured LDPC convolutional codes[C]. IEEE International Conference on Communications, London, 2015: 4412-4417.

SRIDHARAN A and COSTELLO D. A new construction for low density parity check convolutional codes[C]. Proceedings of the IEEE Information Theory Workshop, Bangalore, India, 2002: 212.

ZHOU Hua and GOERTZ N. Girth analysis of polynomial- based time-invariant LDPC convolutional codes[C]. International Conference on Systems, Signals and Image Processing, Vienna, 2012: 104-108.

TANNER R, SRIDHARA D, SRIDHARAN A, et al. LDPC block and convolutional codes based on circulant matrices[J]. IEEE Transactions on Information Theory, 2004, 50(12): 2966-2984.

ESMAEILI M and GHOLAMI M. Geometrically-structured maximum-girth LDPC block and convolutional codes[J]. IEEE Journal on Selected Areas in Communications, 2009, 27(6): 831-845.

PUSANE A, SMARANDACHE R, VONTOBEL P, et al. Deriving good LDPC convolutional codes from LDPC block codes[J]. IEEE Transactions on Information Theory, 16(6): 897-900.

MU Liwei, LIU Xingcheng, and LIANG Chulong. Construction of binary LDPC convolutional codes based on finite fields[J]. IEEE Communications Letters, 2012, 16(6): 897-900.

CHEN Chao, BAI Baoming, and WANG Xingmei. Construction of quasi-cyclic LDPC codes based on a two-dimensional MDS code[J]. IEEE Communications Letters, 2010, 14(5): 447-449.

JUSTESEN J. An algebraic construction of rate 1/v convolutional codes[J]. IEEE Transactions on Information Theory, 1975, 21(5): 577-580.

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