DOI QR코드

DOI QR Code

An Improved Belief Propagation Decoding for LT Codes

LT 부호를 위한 개선된 BP 복호

  • Cheong, Ho-Young (Department of Information and Communication Engineering of Namseoul University)
  • Received : 2014.11.02
  • Accepted : 2014.12.02
  • Published : 2014.12.30

Abstract

It is known that a belief propagation algorithm is a fast decoding scheme for LT codes but it require a large overhead, especially for a short block length LT codes. In this paper an improved belief decoding algorithm using searching method for degree-1 packets is proposed for a small overhead. The proposed decoding scheme shows the desirable performance in terms of overhead while guaranteeing the same computational complexity with respect to the conventional BP decoding scheme.

LT 부호에 대해 BP 복호 알고리즘은 가장 빠른 복호 방법 중 하나로 알려져 있다. 그러나 BP 알고리즘은 대부분의 LT 부호를 복호하는데 있어서 많은 오버헤드를 요구하며 특히 짧은 길이의 LT 부호에 대해서는 과다한 오버헤드가 소요된다. 본 논문에서는 오버헤드를 줄이기 위해 1-차수의 패킷을 탐색할 수 있는 방법을 제시하고 이를 이용한 개선된 BP 복호 알고리즘을 제안하였다. 제안된 복호 알고리즘은 기존의 BP 알고리즘에 비해 같은 복호 복잡도를 유지하면서도 더 적은 오버헤드를 가짐을 알 수 있었다.

Keywords

References

  1. M. Luby, "LT codes," Proceedings 43rd Annual IEEE Symposium on Foundations of Computer Science, pp. 271-280, Vancouver, Canada, Nov. 2002.
  2. D.J.C. MacKay, "Fountain Codes," IEE Proceedings -Communications, Vol. 152, No. 6, December 2005, pp. 1062-1068. https://doi.org/10.1049/ip-com:20050237
  3. Valerio Bilglio, Macro Grangetto, Rossano Gaeta, Matteo Sereno, "On the fly Gaussian Elimination for LT codes," IEEE Communication Letters, Vol. 13, No. 12, pp. 953-955, Dec. 2009. https://doi.org/10.1109/LCOMM.2009.12.091824
  4. Hoyoung Cheong, "An Efficient Decoding for Short Block Length LT Codes," Journal of Convergence Information Technology, JCIT, Vol. 7, No. 9., 2012. 5, pp. 76-82.
  5. Saejoon Kim, Karam Ko, and Sae-Young Chung, "Incremental Gaussian Elimination Decoding of Raptor Codes over BEC," IEEE Communication Letters, Vol. 12, No. 14, pp. 307-309, April 2008. https://doi.org/10.1109/LCOMM.2008.072141
  6. Hoyoung Cheong, "An Efficient Fountain Code for Vehicular Communication Channel, "Proceedings of 2012 KIIECT Conference, Vol.5, No. 1, May, 2012.
  7. A. Shokrollahi : 'Raptor Codes', IEEE Transactions on Information Theory, Vol. 52, No. 6, June 2006, pp. 2551-2567. https://doi.org/10.1109/TIT.2006.874390