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Performance of Non-Binary LDPC Codes for Next Generation Mobile Systems

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A new family of non-binary LDPC is presented that are based on a finite field GF(64). They may be successfully implemented in single-carrier and OFDM transmission system. Results prove that DAVINCI codes allow for improving the system performance and may be considered to be applied in the future mobile system.
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Bibliografia
  • [1] L. Barnault and D. Declercq, “Fast decoding algorithm for LDPC over GF(2q),” in Proc. IEEE Information Theory Workshop, Paris, France, 2003.
  • [2] C. Berrou, A. Glavieux, and P. Thitimajshima, “Near Shannon limit error-correcting coding and decoding: Turbo-codes,” in Proc. IEEE International Conference on Communications, Geneve, Switzerland, May 1993, pp. 1064–1070.
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  • [4] M. C. Davey, “Error-correction using low density parity check codes”, Ph.D. thesis, Cambridge.
  • [5] M. Davey and D. MacKay, “Low density parity check codes over GF (q),” in Proc. Information Theory Workshop, Killarney, Ireland, 1998, pp. 70–71.
  • [6] D. Declercq and M. Fossorier, “Decoding algorithms for nonbinary LDPC codes over GF(q),” IEEE Transactions on Communications, vol. 55, April 2007, pp. 633–643.
  • [7] R. G. Gallager, “Low density parity check codes,” Ph.D. thesis, MIT, Cambridge, Mass., September 1960.
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  • [9] X. Y. Hu and E. Eleftheriou, “Binary representation of cycle Tannergraph GF(2q) codes,” in Proc. IEEE International Conference on Communications, Paris, France, June 2004, pp. 528–532.
  • [10] INFSO-ICT-216203 DAVINCI, “D2.2.1 Link Level Evaluation,” November 2008.
  • [11] INFSO-ICT-216203 DA VINCI, “D4.1 Benchmark Non Binary LDPC codes: Report and Software (C-ANSI)”, July 2008.
  • [12] D. J. C. MacKay and R. M. Neal, “Good codes based on very sparse matrices,” in Lecture otes in Computer Science, Cryptography and Coding, vol. 1025/1995, Berlin/Heidelberg: Springer, 1995, pp. 100-111.
  • [13] Madhurima Potluri, “Distributed Source Coding using Non Binary LDPC,” M.Sc. thesis, Visweswaraiach Technological University, India, 2005.
  • [14] L. Ping and W. K. Leung, “Decoding low density parity check codes with finite quantization bits,” IEEE Communications Letters, vol. 4, no. 2, Feb. 2000, pp. 62–64.
  • [15] M. F. C. Poulliat and D. Declercq, “Design of regular (2,dc)-LDPC codes over GF(q) using their binary images,” IEEE Transactions on Communications, vol. 56, October 2008, pp. 1626–1635.
  • [16] R. M. Tanner, “A Recursive Approach to Low Complexity Codes,” IEEE Transactions on Information Theory, vol. 27, 1981, pp. 533–547.
  • [17] D. D. A. Venkiah and C. Poulliat, “Design of cages with a randomized progressive edge growth algorithm,” IEEE Communications Letters, vol. 12, April 2008, pp. 301–303.
  • [18] A. Voicila, D. Declercq, F. Verdier, M. Fossorier, and P. Urard, “Lowcomplexity decoding algorithm for non-binary LDPC codes in high order fields,” IEEE Transactions on Communications, 2008.
  • [19] A. Voicila, D. Declercq, F. Verdier, M. Fossorier, and P. Urard, “Low complexity, low memory EMS algorithm for non-binary LDPC codes,” in Proc. International Conference on Communications, Glasgow, UK, June 2007, pp. 671–676.
  • [20] A. Voicila, F. Verdier, D. Declercq, M. Fossorier, and P. Urard, “Architecture of a low-complexity non-binary LDPC decoder for high order fields”, in Proc. 7th International Symposium on Communications and Information Technologies, Sydney, Australia, October 2007.
  • [21] H. S. H. Wymeersch and M. Moeneclaey, “Log-domain decoding of LDPC codes over GF(q),” in Proc. IEEE International Conference on Communications, Paris, France, June 2004, pp. 772–776.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0045-0018
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