Skip to main content

An Efficient Genetic Based Algorithm for an Irregular Low Density Parity Check Code with Low Computational Complexity and Low Error Floor

  • Conference paper
Advances in Computing, Communication, and Control (ICAC3 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 361))

  • 2861 Accesses

Abstract

Very low error rate is necessary for several coding applications like satellite communications, Ethernet transmission, and data storage applications. Therefore, construction of practical tools for anticipating error floors and assessing the success of LDPC codes in the low frame error rate region is necessary. Completely randomly generated codes are good with high probability. The problem that will arise is encoding complexity of such codes is usually rather high as the length of codes increases. We propose an efficient Genetic base algorithm for construction of irregular LDPC codes, which reduces error floor and computational complexity in code design process. Our proposed method is compared with an algorithm in which the codes are generated randomly,. Bit Error Rate (BER), Frame Error Rate (FER) and Computational Complexity are calculated using Matlab platform and compared using both algorithms. Simulations results shows that the codes constructed with proposed method produce low error floors and reduced computational complexity. LDPC Codes based on this design suits for the short block length.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Richardson, T.J., Urbanke, R.L.: The Capacity of Low-Density Parity-Check Codes Under Message-Passing Decoding. IEEE Transactions on Information Theory 47(2), 599–618 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  2. Asvadi, R., Banihashemi, A.H., Ahmadian-Attari, M.: Lowering the Error Floor of LDPC Codes Using Cyclic Liftings. In: Proceedings of IEEE International Symposium on Information Theory, Austin, TX, pp. 74–728 (June 2010)

    Google Scholar 

  3. Eckford, A.W., Kschischang, F.R., Pasupathy, S.: On Designing Good LDPC Codes for Markov Channels. IEEE Transactions on Information Theory 53(1), 5–21 (2007)

    Article  MathSciNet  Google Scholar 

  4. Kim, J., Hur, W., Ramamoorthy, A., McLaughlin, S.W.: Design of Rate-Compatible Irregular LDPC Codes for Incremental Redundancy Hybrid ARQ Systems. In: Proceedings of IEEE International Symposium on Information Theory, Seattle, WA, pp. 1139–1143 (July 2006)

    Google Scholar 

  5. Yadav, K., Srivastava: Improved performance of Irregular LDPC Codes by attaining regularity for AWGN channel. In: Proceedings of SPIT-IEEE Colloquium and International Conference, Mumbai, India, vol. 3, pp. 7–11 (February 2008)

    Google Scholar 

  6. Dolecek, L., Lee, P., Zhang, Z., Anantharam, V., Nikolic, B., Wainwright, M.J.: Predicting Error Floors of Structured LDPC Codes: Deterministic Bounds and Estimates. IEEE International Journal on Selected Areas in Communications 27(6), 908–917 (2009)

    Article  Google Scholar 

  7. Newagy, F.A., Fahmy, Y.A., El-Soudani, M.M.S.: Novel Construction of Short Length LDPC Codes For Simple Decoding. Journal of Theoretical and Applied Information Technology 3(3), 64–69 (2007)

    Google Scholar 

  8. Islam, M.R., Kim, J.: Quasi Cyclic Low Density Parity Check Code for High SNR Data Transfer. Journal of Radio Engineering 19(2), 356–362 (2010)

    Google Scholar 

  9. Johnson, S.J., Weller, S.R.: A Family of Irregular LDPC Codes With Low Encoding Complexity. IEEE Communications Letters 7(2), 79–81 (2003)

    Article  Google Scholar 

  10. Cole, C.A., Hall, E.K., Wilson, S.G., Giallorenzi, T.R.: A General Method for Finding Low Error Rates of LDPC Codes. IEEE Transcations on Information Theory, 1–30 (2006)

    Google Scholar 

  11. Ardakani, M., Kschischang, F.R.: A More Accurate One-Dimensional Analysis and Design of Irregular LDPC Codes. IEEE Transactions on Communications 52(12), 2106–2114 (2004)

    Article  Google Scholar 

  12. Prasartkaew, C., Choomchuay, S.: A Design of Parity Check Matrix for Irregular LDPC Codes. In: International Symposium on Communication and Information Technology, Incheon, Korea (September 2009)

    Google Scholar 

  13. Gunnam, K.K., Choi, G.S., Yeary, M.B., Atiquzzaman, M.: VLSI Architectures for Layered Decoding for Irregular LDPC Codes of WiMax. In: Proceedings of IEEE International Conference on Communications, Glasgow, pp. 4542–4547 (June 2007)

    Google Scholar 

  14. Bhardwaj, V., Pathak, Kumar, A.: Structured LDPC Codes with Linear Complexity Encoding. In: Proceedings of WRI International Conference on Communications and Mobile Computing, vol. 1, pp. 200–203 (2009)

    Google Scholar 

  15. Eckford, A.W., Kschischang, F.R., Pasupathy, S.: Designing Very Good Low-Density Parity-Check Codes for the Gilbert-Elliott Channel. In: Proceedings of 8th Canadian Workshop on Information Theory, Waterloo, pp. 18–21 (2003)

    Google Scholar 

  16. Landner, S., Hehn, T., Milenkovic, O., Huber, J.B.: Two Methods for Reducing the Error-Floor of LDPC Codes. IEEE Transactions on Information Theory 1, 1–50 (2007)

    Google Scholar 

  17. Cole, C.A., Hall, E.K., Wilson, S.G., Giallorenzi, T.R.: Analysis and Design of Moderate Length Regular LDPC Codes with Low error Floors. In: Proceedings of 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, pp. 823–828 (March 2006)

    Google Scholar 

  18. Iliev, T.B., Hristov, G.V., Zahariev, P.Z., Iliev, M.P.: Application and evaluation of the LDPC codes for the next generation communication systems. In: Novel Algorithms and Techniques in Telecommunications, Automation and Industrial Electronics, pp. 532–536. Springer (2008)

    Google Scholar 

  19. Milenkovic, O., Soljanin, E., Whiting, P.: Asymptotic Spectra of Trapping Sets in Regular and Irregular LDPC Code Ensembles. IEEE Transactions on Information Theory 53(1), 39–55 (2007)

    Article  MathSciNet  Google Scholar 

  20. Chen, J., Michael Tanner, R., Zhang, J., Fossorier, M.P.C.: Construction of Irregular LDPC Codes by Quasi-Cyclic Extension. IEEE Transactions on Information Theory 53(4), 1479–1483 (2007)

    Google Scholar 

  21. Zheng, X., Lau, F.C.M., Tse, C.K.: Constructing Short-Length Irregular LDPC Codes with Low Error Floor. IEEE Transactions on Communications 58(10), 2823–2834 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rathod, D.P., Awale, R.N. (2013). An Efficient Genetic Based Algorithm for an Irregular Low Density Parity Check Code with Low Computational Complexity and Low Error Floor. In: Unnikrishnan, S., Surve, S., Bhoir, D. (eds) Advances in Computing, Communication, and Control. ICAC3 2013. Communications in Computer and Information Science, vol 361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36321-4_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36321-4_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36320-7

  • Online ISBN: 978-3-642-36321-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics