Analysis of Non-binary Hybrid LDPC Codes

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Sassatelli, Lucile ; Declercq, David (2008)
  • Subject: Computer Science - Information Theory
    arxiv: Computer Science::Information Theory | Computer Science::Hardware Architecture

In this paper, we analyse asymptotically a new class of LDPC codes called Non-binary Hybrid LDPC codes, which has been recently introduced. We use density evolution techniques to derive a stability condition for hybrid LDPC codes, and prove their threshold behavior. We study this stability condition to conclude on asymptotic advantages of hybrid LDPC codes compared to their non-hybrid counterparts.
  • References (8)

    [1] M. Davey and D.J.C. MacKay, “Low Density Parity Check Codes over GF(q),” IEEE Commun. Lett., vol. 2, pp. 165-167, June 1998.

    [2] D. Sridhara and T.E. Fuja, “Low Density parity Check Codes over Groups and Rings,” in the proc. of ITW'02, Bangladore, India, Oct. 2002.

    [3] X.-Y. Hu and E. Eleftheriou, “Binary Representation of Cycle TannerGraph GF(2q ) Codes,” in the proc. of ICC'04, pp. 528-532, Paris, France, June 2004.

    [4] A. Bennatan and David Burshtein, ”Design and Analysis of Nonbinary LDPC Codes for Arbitrary Discrete-Memoryless Channels,” IEEE Trans. on Inform. Theory, vol. 52, no. 2, pp. 549-583, Feb. 2006.

    [5] A. Goupil, M. Colas, G. Gelle and D. Declercq, “FFT-based BP Decoding of General LDPC Codes over Abelian Groups,” to appear in the IEEE Trans. on Commun., 2006.

    [6] T. Richardson, A. Shokrollahi and R. Urbanke, ”Design of CapacityApproaching Irregular LDPC Codes,” IEEE Trans. on Inform. Theory, vol. 47, no. 2, pp. 619-637, Feb. 2001.

    [7] L. Sassatelli and D. Declercq, ”Non-binary Hybrid LDPC Codes: Structure, Decoding and Optimization,” in IEEE Inform. Theory Workshop, Chengdu, China, October 2006, cache/cs/pdf/0701/0701066v1.pdf.

    [8] C. Poulliat, M. Fossorier and D. Declercq, “Using Binary Image of Nonbinary LDPC Codes to Improve Overall Performance,” in IEEE Intern. Symp. on Turbo Codes, Munich, April 2006.

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