An Improve ACE Algorithm Based on EMD and Cycle Remove

This paper introduce EMD as a useful measurement of success in selection of the LDPC code from selected ensemble. When EMD metric associated bad with other cycles in the code graph, which is unavoidable in constructing LDPC codes, we introduce cycle remove in order to improve LDPC codes’ performance...

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Published inEnergy procedia Vol. 13; pp. 8729 - 8733
Main Authors Liang, Wu, Yuanqing, Zhao
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2011
Subjects
Online AccessGet full text
ISSN1876-6102
DOI10.1016/j.egypro.2011.12.647

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Abstract This paper introduce EMD as a useful measurement of success in selection of the LDPC code from selected ensemble. When EMD metric associated bad with other cycles in the code graph, which is unavoidable in constructing LDPC codes, we introduce cycle remove in order to improve LDPC codes’ performance. Experimental results show that the algorithm lower error floor and improve LDPC codes’ performance.
AbstractList This paper introduce EMD as a useful measurement of success in selection of the LDPC code from selected ensemble. When EMD metric associated bad with other cycles in the code graph, which is unavoidable in constructing LDPC codes, we introduce cycle remove in order to improve LDPC codes’ performance. Experimental results show that the algorithm lower error floor and improve LDPC codes’ performance.
Author Yuanqing, Zhao
Liang, Wu
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Keywords LDPC CODE
STOPPING SETS
ACE
EMD
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References T. J. Richardson, M.A. Shokrollahi, and R. L. Urbanke, “Design of capacity-approaching irregular low-density paritycheck codes,” IEEE Trans. Inf. Theory, vol. 47, pp. 619-637, Feb. 2001.
McGowan J A and Williamson R C. Loop removal from ldpc codes. in Proc.IEEE Info.on Theory Workshop (ITW), Paris, France, Mar.2003 .230-233.
Gallager R G. Low-density parity-check codes[J]. IRE Trans Information Theory, 1962, 8(1): 21-28.
Dejan Vukobratovie, Aleksandar Djurendic and Vojin Senk. ACE Spectrum of LDPC Codes. JOURNAL OF AUTOMATIC CONTROL, UNIVERSITY OF BELGRADE. 2006. VOL 16 .33-36.
N. Wiberg, “Codes and Decoding on General Graphs,” Ph.D. dissertation, Link̈oping University, Link̈oping, Sweden, 1996.
Luby M, Mitzenmacher M, Shokrollahi M, et al. Efficient erasure correcting codes[J]. IEEE Trans on Information Theory, 2001, 47(2): 569-584.
K. M. Krishnan, and P. Shankar. Computing the stopping distance of a Tanner graph is NP-hard. IEEE Trans. Inform. Theory.2007 .53(6). .2278-2280.
G. Eason, B. Noble, and I. N. Sneddon, On certain integrals of Lipschitz-Hankel type involving products of Bessel functions, Phil. Trans. Roy. Soc. London, vol. A247, pp. 529-551, April 1955.
C. Di, D. Proietti, I.E. Telater, T.J. Richardon, and R. L. Urbanke, “Finite-length analysis of low-density parity check codes on the binary erasure channel,” Proc. IEEE Tran. Inform. Theory, vol. 48, no. 6, pp1570-1579,June 2002.
Computational Intelligence in Scheduling (SCIS 07), IEEE Press, Dec. 2007, pp. 57-64, doi:10.1109/SCIS. 2007.357670.
T.J. Richardson M. Amin Shokrollahi, and R.L. Urbanke. Design of Capacity-Approaching Irregular Low-Density Parity- Check Codes, IEEE Trans. Info. Theory, 2001, 47(2), 619-637.
Tao Tian, Christopher R. Jones, John D. Villasenor. Selective avoidance of cycles in Irregular LDPC code Construction. IEEE Trans.on Commun. 2004. 52(8). 1242-1247.
References_xml – reference: Luby M, Mitzenmacher M, Shokrollahi M, et al. Efficient erasure correcting codes[J]. IEEE Trans on Information Theory, 2001, 47(2): 569-584.
– reference: T.J. Richardson M. Amin Shokrollahi, and R.L. Urbanke. Design of Capacity-Approaching Irregular Low-Density Parity- Check Codes, IEEE Trans. Info. Theory, 2001, 47(2), 619-637.
– reference: T. J. Richardson, M.A. Shokrollahi, and R. L. Urbanke, “Design of capacity-approaching irregular low-density paritycheck codes,” IEEE Trans. Inf. Theory, vol. 47, pp. 619-637, Feb. 2001.
– reference: Computational Intelligence in Scheduling (SCIS 07), IEEE Press, Dec. 2007, pp. 57-64, doi:10.1109/SCIS. 2007.357670.
– reference: Gallager R G. Low-density parity-check codes[J]. IRE Trans Information Theory, 1962, 8(1): 21-28.
– reference: C. Di, D. Proietti, I.E. Telater, T.J. Richardon, and R. L. Urbanke, “Finite-length analysis of low-density parity check codes on the binary erasure channel,” Proc. IEEE Tran. Inform. Theory, vol. 48, no. 6, pp1570-1579,June 2002.
– reference: K. M. Krishnan, and P. Shankar. Computing the stopping distance of a Tanner graph is NP-hard. IEEE Trans. Inform. Theory.2007 .53(6). .2278-2280.
– reference: Tao Tian, Christopher R. Jones, John D. Villasenor. Selective avoidance of cycles in Irregular LDPC code Construction. IEEE Trans.on Commun. 2004. 52(8). 1242-1247.
– reference: G. Eason, B. Noble, and I. N. Sneddon, On certain integrals of Lipschitz-Hankel type involving products of Bessel functions, Phil. Trans. Roy. Soc. London, vol. A247, pp. 529-551, April 1955.
– reference: N. Wiberg, “Codes and Decoding on General Graphs,” Ph.D. dissertation, Link̈oping University, Link̈oping, Sweden, 1996.
– reference: Dejan Vukobratovie, Aleksandar Djurendic and Vojin Senk. ACE Spectrum of LDPC Codes. JOURNAL OF AUTOMATIC CONTROL, UNIVERSITY OF BELGRADE. 2006. VOL 16 .33-36.
– reference: McGowan J A and Williamson R C. Loop removal from ldpc codes. in Proc.IEEE Info.on Theory Workshop (ITW), Paris, France, Mar.2003 .230-233.
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Snippet This paper introduce EMD as a useful measurement of success in selection of the LDPC code from selected ensemble. When EMD metric associated bad with other...
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StartPage 8729
SubjectTerms ACE
EMD
LDPC CODE
STOPPING SETS
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Title An Improve ACE Algorithm Based on EMD and Cycle Remove
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