Skip to main content

Termination for Belief Propagation Decoding of Polar Codes in Fading Channels

  • Conference paper
  • First Online:
  • 614 Accesses

Abstract

In additive white Gaussian channel (AWGN), the performance of polar codes under the successive cancellation (SC) decoding is not as good as that of the belief propagation (BP) decoding. However, in a fading channel, the performance of BP decoding is found in our study to be worse than the SC decoding. In this work, we propose a termination criterion for the BP decoding of polar codes to improve the performance and the average number of iterations at the same time. Simulation results show that BP decoding can still achieve a better performance than the SC decoding in fading channels with the proposed termination.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

References

  1. 3GPP: 3GPP TSG RAN WG1 meeting #87, chairmans notes of agenda item 7.1.5 channel coding and modulation (2016)

    Google Scholar 

  2. Arikan, E.: A performance comparison of polar codes and reed-muller codes. IEEE Commun. Lett. 12(6), 447–449 (2008)

    Article  Google Scholar 

  3. Arikan, E.: Channel polarization: a method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Trans. Inf. Theory 55(7), 3051–3073 (2009)

    Article  MathSciNet  Google Scholar 

  4. Arikan, E.: Systematic polar coding. IEEE Commun. Lett. 15(8), 860–862 (2011)

    Article  Google Scholar 

  5. Guo, J., Qin, M., i Fabregas, A.G., Siegel, P.H.: Enhanced belief propagation decoding of polar codes through concatenation. In: 2014 IEEE International Symposium on Information Theory Proceedings (ISIT), pp. 2987–2991 (2014)

    Google Scholar 

  6. Hussami, N., Korada, S., Urbanke, R.: Performance of polar codes for channel and source coding. In: IEEE International Symposium on Information Theory (ISIT), pp. 1488–1492, June 2009

    Google Scholar 

  7. Li, L., Zhang, W.: On the encoding complexity of systematic polar codes. In: Proceedings of IEEE International System-on-Chip Conference (SOCC), pp. 508–513, September 2015

    Google Scholar 

  8. Lin, S., Costello, D.J.: Error Control Coding, 2nd edn. Pearson Prentice Hall, New Jersey (2004)

    MATH  Google Scholar 

  9. Niu, K., Chen, K.: CRC-aided decoding of polar codes. IEEE Commun. Lett. 16(10), 1668–1671 (2012)

    Article  Google Scholar 

  10. Deng, R., Li, L., Hu, Y..: On the polar code encoding in fading channels. Veh. Technol. Conf. 62(24), 1–5 (2017)

    Google Scholar 

  11. Si, H., Koyluoglu, O.O., Vishwanath, S.: Polar coding for fading channels: binary and exponential channel cases. IEEE Trans. Commun. 62(8), 2638–2649 (2014)

    Article  Google Scholar 

  12. Tal, I., Vardy, A.: List decoding of polar codes. IEEE Trans. Inf. Theory 61(5), 2213–2226 (2015)

    Article  MathSciNet  Google Scholar 

  13. Yuan, B., Parhi, K.K.: Early stopping criteria for energy-efficient low-latency belief-propagation polar code decoders. IEEE Trans. Sig. Process. 62(24), 6496–6506 (2014)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Liping Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhang, C., Luo, Y., Li, L. (2019). Termination for Belief Propagation Decoding of Polar Codes in Fading Channels. In: Gui, G., Yun, L. (eds) Advanced Hybrid Information Processing. ADHIP 2019. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 301. Springer, Cham. https://doi.org/10.1007/978-3-030-36402-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-36402-1_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-36401-4

  • Online ISBN: 978-3-030-36402-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics