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Construction of rate-compatible (RC) low-density parity-check (LDPC) convolutional codes based on RC-LDPC block codes

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Abstract

In this paper, a family of rate-compatible (RC) low-density parity-check (LDPC) convolutional codes can be obtained from RC-LDPC block codes by graph extension method. The resulted RC-LDPC convolutional codes, which are derived by permuting the matrices of the corresponding RC-LDPC block codes, are systematic and have maximum encoding memory. Simulation results show that the proposed RC-LDPC convolutional codes with belief propagation (BP) decoding collectively offer a steady improvement on performance compared with the block counterparts over the binary-input additive white Gaussian noise channels (BI-AWGNCs).

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References

  1. SUN X, WU X, JIANG M, et al. Optimised rate-compatible-irregular-repeat-accumulate code for asymmetric Slepian-Wolf coding [J]. IET Communications, 2012, 6(4): 413–418.

    Article  MathSciNet  Google Scholar 

  2. HAGENAUER J. Rate-compatible punctured convolutional codes (RCPC codes) and their applications [J]. IEEE Transactions on Communications, 1988, 36(4): 389–400.

    Article  Google Scholar 

  3. AZIZ T, ADNAN M, QIU S H, et al. Performance analysis of multicast coded relay network with LDPC and convolutional codes [C]//IET International Conference on Communication Technology and Application (ICCTA 2011). Beijing, China: IET, 2011: 126–130.

    Chapter  Google Scholar 

  4. EL-KHAMYM, HOU J, BHUSHAN N. Design of ratecompatible structured LDPC codes for hybrid ARQ applications [J]. IEEE Journal on Selected Areas in Communications, 2009, 27(6): 965–973.

    Article  Google Scholar 

  5. AMAT A G I, MONTORSI G, VATTA F. Design and performance analysis of a new class of rate compatible serially concatenated convolutional codes [J]. IEEE Transactions on Communications, 2005, 57(8): 2280–2289.

    Article  Google Scholar 

  6. ZHOU H, MITCHELL D G M, GOERTZ N, et al. Robust rate-compatible punctured LDPC convolutional codes [J]. IEEE Transactions on Communications, 2013, 61(11): 4428–4439.

    Article  Google Scholar 

  7. HA J, KIM J, MCLAUGHLIN S W. Rate-compatible puncturing of low-density parity-check codes [J]. IEEE Transactions on Information Theory, 2004, 50(11): 2824–2836.

    Article  MathSciNet  MATH  Google Scholar 

  8. SI Z, THOBABEN R, SKOGLUND M. Ratecompatible LDPC convolutional codes achieving the capacity of the BEC [J]. IEEE Transactions on Information Theory, 2012, 58(6): 4021–4029.

    Article  MathSciNet  Google Scholar 

  9. NITZOLD W, LENTMAIER M, FETTWEIS G P. Spatially coupled protograph-based LDPC codes for incremental redundancy [C]//2012 7th International Symposium on Turbo Codes and Iterative Information Processing (ISTC). Gothenburg: IEEE, 2012: 155–159.

    Chapter  Google Scholar 

  10. FELSTRöM A J, ZIGANGIROV K S. Time-varying periodic convolutional codes with low-density paritycheck matrix [J]. IEEE Transactions on Information Theory, 1999, 45(6): 2181–2191.

    Article  MATH  Google Scholar 

  11. COSTELLO D J, PUSANE A E, BATES S, et al. A comparison between LDPC block and convolutional codes [C]// Proceedings of Information Theory & Applicaton Workshop. San Diego, CA: IEEE, 2006: 6–10.

    Google Scholar 

  12. YAZDANI M R, BANIHASHEMI A H. On construction of rate-compatible low-density parity-check codes [J]. IEEE Communications Letters, 2004, 8(3): 159–161.

    Article  Google Scholar 

  13. MU L W, LIU X C, LIANG C L. Improved construction of LDPC convolutional codes with semi-random parity-check matrices [J]. Sciece China Information Sciences, 2014, 57(2): 1–10(in Chinese).

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, 510006, China

    Liwei Mu  (穆丽伟)

  2. School of Information Engineering, Guangdong University of Technology, Guangzhou, 510006, China

    Guojun Han  (韩国军)

  3. School of Information and Electrical Engineering, Harbin Institute of Technology, Weihai 264209, Shandong, China

    Zhiyong Liu  (刘志勇)

Authors
  1. Liwei Mu  (穆丽伟)
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  2. Guojun Han  (韩国军)
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  3. Zhiyong Liu  (刘志勇)
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Corresponding author

Correspondence to Liwei Mu  (穆丽伟).

Additional information

Foundation item: the National Natural Science Foundation of China (Nos. 61401164, 61471131 and 61201145), and the Natural Science Foundation of Guangdong Province (No. 2014A030310308)

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Mu, L., Han, G. & Liu, Z. Construction of rate-compatible (RC) low-density parity-check (LDPC) convolutional codes based on RC-LDPC block codes. J. Shanghai Jiaotong Univ. (Sci.) 21, 679–683 (2016). https://doi.org/10.1007/s12204-016-1781-5

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  • DOI: https://doi.org/10.1007/s12204-016-1781-5

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