A generalized design of distributed rateless codes with decreasing ripple size for multiple-access relay networks

Abstract

In this correspondence, the problem of existing distributed rateless codes (DRC) with inaccurate degree distributions in the sources and the relay is addressed. Based on a well-known multiple-access relay network model, a generalized design of DRC (GDRC) is proposed by using optimization theory and heuristic Jacobian iterative algorithm, in which the interaction between the degree distributions in the sources and in the relay is considered. Our GDRC can be applied to Luby transfer codes or any other rateless codes that can be described with a degree distribution. Furthermore, a novel approach of designing GDRC with decreasing ripple size is proposed by directly analysing the interaction between the ripple size revolutions in the sources and in the relay. Our proposed scheme is evaluated and compared with existing schemes. It is shown that our proposed scheme exhibits reduced overhead, memory usage, bit error rate and energy consumption compared to the existing schemes.

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References

  1. 1.

    Byers, J., Luby, M., Mitzenmacher, M., Rege, A. (1998). A digital fountain approach to reliable distribution of bulk data. In Proceeding of SIGCOMM, Vancouver, BC, CA (pp. 56–67).

  2. 2.

    Luby, M. (2002) LT codes. In Proceeding of the ACM symposium on foundations of computer science, Vancouver, BC, CA (pp. 37–47).

  3. 3.

    Puducheri, S., Kliewer, J., & Fuja, T. (2007). The design and performance of distributed LT codes. IEEE Transactions on Information Theory, 53(10), 3740–3754.

    MathSciNet  Article  MATH  Google Scholar 

  4. 4.

    Cao, R., & Yang, L. (2012). Decomposed LT codes for cooperative relay communications. IEEE Journal on Selected Areas in Communications, 30(2), 407–414.

    MathSciNet  Article  Google Scholar 

  5. 5.

    Lei, Z., Jianxin, L., Jingyu, W., Tonghong, L., & Qi, Q. (2014). Design of improved Luby transform codes with decreasing ripple size and feedback. IET Communications, 8(8), 1409–1416.

    Article  Google Scholar 

  6. 6.

    Sorensen, J. H., Popovski, P., & Ostergaard, J. (2012). Design and analysis of LT codes with decreasing ripple size. IEEE Transactions on Communications, 60(11), 1–7.

    Article  Google Scholar 

  7. 7.

    Reze, R. B., & Masoud, A. (2015). Fountain code design for the Y-network. IEEE Communications Letters, 19(5), 703–706.

    Article  Google Scholar 

  8. 8.

    Talari, A., & Rahnavard, N. (2012). Distributed unequal error protection rateless codes over erasure channels: A two-source scenario. IEEE Transactions on Communications, 60(8), 2084–2090.

    Article  Google Scholar 

  9. 9.

    Hanqin, S., Dazhuan, X., & Xiaofei, Z. (2015). Distributed Luby transform coding for three-source single-relay networks based on the deconvolution of robust soliton distribution. IET Communications, 9(2), 167–176.

    Article  Google Scholar 

  10. 10.

    Sejdinovic, D., Piechocki, R., Doufexi, A., & Ismail, M. (2010). Decentralised distributed fountain coding: asymptotic analysis and design. IEEE Communications Letters, 14(1), 42–44.

    Article  Google Scholar 

  11. 11.

    Shao, H., Xu, D., & Zhang, X. (2013). Asymptotic analysis and optimization for generalized distributed fountain codes. IEEE Communications Letters, 17(5), 988–991.

    Article  Google Scholar 

  12. 12.

    Liau, A., Yousefi, S., & Kim, I.-M. (2011). Binary soliton-like rateless coding for the Y-network. IEEE Transactions on Communications, 59(12), 3217–3222.

    Article  Google Scholar 

  13. 13.

    Liau, A., Kim, I., & Yousefi, S. (2013). Improved low-complexity soliton-like network coding for a resource-limited relay. IEEE Transactions on Communications, 61(8), 3327–3335.

    Article  Google Scholar 

  14. 14.

    Huassain, I., Xian, M., & Rasmussen, L. K. (2014). Rateless codes for the multiway relay channel. IEEE Wireless Communication Letters, 3(5), 457–461.

    Article  Google Scholar 

Download references

Acknowledgments

This work was jointly supported by: (1) the National Basic Research Program of China (No. 2013CB329102); (2) National Natural Science Foundation of China (Nos. 61471063, 61421061, 61372120, 61271019, 61101119, 61121001); (3) the Key (Keygrant) Project of Chinese Ministry of Education (No. MCM20130310); (4) Beijing Municipal Natural Science Foundation (No. 4152039); (5) Beijing Higher Education Young Elite Teacher Project (No. YETP0473); (6) Spanish Research Council (No: TIN2014-46883); (7) Regional Government of Madrid (No: S2013/ICE-2894) cofunded by FSE and FEDER.

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Correspondence to Lei Zhang.

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Liao, J., Zhang, L., Li, T. et al. A generalized design of distributed rateless codes with decreasing ripple size for multiple-access relay networks. Wireless Netw 23, 2177–2188 (2017). https://doi.org/10.1007/s11276-016-1279-y

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Keywords

  • Distributed rateless codes
  • Degree distribution
  • Heuristic matrixes
  • Optimization algorithm