Browse > Article
http://dx.doi.org/10.7840/kics.2013.38C.10.852

Design and Performance Analysis of Nonbinary LDPC Codes With Low Error-Floors  

Ahn, Seok-Ki (포항공과대학교 전자전기공학과 통신 및 신호설계 연구실)
Lim, Seung-Chan (포항공과대학)
Yang, Youngoh (제주대학교)
Yang, Kyeongcheol (포항공과대학교 전자전기공학과 통신 및 신호설계 연구실)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.38C, no.10, 2013 , pp. 852-857 More about this Journal
Abstract
In this paper we propose a design algorithm for nonbinary LDPC (low-density parity-check) codes with low error-floors. The proposed algorithm determines the nonbinary values of the nonzero entries in the parity-check matrix in order to maximize the binary minimum distance of the designed nonbinary LDPC codes. We verify the performance of the designed nonbinary LDPC codes in the error-floor region by Monte Carlo simulation and importance sampling over BPSK (binary phase-shift keying) modulation.
Keywords
BPSK; cycle; error floor; importance sampling; nonbinary LDPC codes;
Citations & Related Records
연도 인용수 순위
  • Reference
1 R. G. Gallager, Low-Density Parity-Check Codes. MIT Press, 1963.
2 S. Y. Chung, G. D. Forney, T. J. Richardson, and R. L Urbanke, "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit," IEEE Commun. Lett., vol. 5, no. 2, pp. 58-60, Feb. 2001.   DOI   ScienceOn
3 M. C. Davey and D. MacKay, "Low-density parity-check codes over GF(q)," IEEE Commum. Lett., vol. 2, no. 6, pp. 165-167, June 1998.   DOI   ScienceOn
4 C. Poulliat, M. Fossorier, and D. Declercq, "Design of Regular (2, dc)-LDPC codes over GF(q) using their binary images," IEEE Trans. Commun., vol. 56, no. 10, pp. 1626-1635, Oct. 2008.   DOI   ScienceOn
5 X. Y. Hu, E. Eleftheriou, and D. M. Arnold, "Regular and irregular progressive edge-growth Tanner graphs," IEEE Trans. Inform. Theory, vol. 51, no. 1, pp. 386-398, Jan. 2005.   DOI   ScienceOn
6 S.-K. Ahn and K. Yang, "Design of LDPC codes with low error-floors based on the progressive edge-growth (PEG) algorithm," in Proc. 2012 Korean Inst. Commun. Inform. Sci. (KICS) Summer Conf., Session 11A-22, pp. 443-444, Jeju Island, Korea, May 2012.
7 X. Zheng, F. C. M. Lau, C. K. Tse, Y. He, and M. Z. Wang, "A evaluation of the extremely low block error rate of irregular LDPC codes," in Proc. Int. Conf. Commun., pp. 1-5, Dresden, Germany, 2009.
8 S.-K. Ahn, K. Yang, and D. Har, "Evaluation of the low error-rate performance of LDPC codes over Rayleigh fading channels using importance sampling," IEEE Trans. Commun., vol. 61, no. 6, pp. 2166-2177, June 2013.   DOI   ScienceOn