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Volume 30 Issue 11
Jan.  2011
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Lin Guang-Rong, Yi Na, Dong Ming-Ke, Liang Qing-Lin. Finite Length Analysis of Fountain Codes Based on Stopping Set[J]. Journal of Electronics & Information Technology, 2008, 30(11): 2634-2637. doi: 10.3724/SP.J.1146.2007.00642
Citation: Lin Guang-Rong, Yi Na, Dong Ming-Ke, Liang Qing-Lin. Finite Length Analysis of Fountain Codes Based on Stopping Set[J]. Journal of Electronics & Information Technology, 2008, 30(11): 2634-2637. doi: 10.3724/SP.J.1146.2007.00642

Finite Length Analysis of Fountain Codes Based on Stopping Set

doi: 10.3724/SP.J.1146.2007.00642
  • Received Date: 2007-04-26
  • Rev Recd Date: 2007-12-03
  • Publish Date: 2008-11-19
  • Digital Fountain is a packet oriented FEC technology for erasure channels. And the performance of fountain codes is limited by the distribution of stopping sets. In the paper, a pair of bounds was proposed to estimate the decoding failure probability of finite length fountain codes. And a search algorithm of low complexity was presented to get the stopping set distribution. The comparisons show that the upper and lower bounds are very close to the simulation results.
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  • [1] Byers J W, Luby M, and Mitzenmacher M, et al.. A digitalfountain approach to reliable distribution of bulk data. Proc.ACM SIG-COMM, Vancouver, BC, Canada, 1998: 56-67. [2] Luby M, Mitzenmacher M, and Shokrollahi A, et al..Practical loss-resilient codes. Proc. 29th ACM Sym-posiumon Theory of Computing, Texas, 1997: 150-159. [3] Luby M, Mitzenmacher M, and Shokrollahi A, et al.. Efficienterasure correcting codes[J].IEEE Trans. on Inform. Theory.2001, 47(2):569-584 [4] Luby M, Mitzenmacher M, and Shokrollahi A. Analysis ofrandom processes via and-or tree evaluation. Proc. 9th Annu.ACM-SIAM Symp. Discrete Algorithms, San Francisco, CA,1998: 364-373. [5] Di C, Proietti D, and Telatar I E, et al.. Finite-length analysisof low-density parity-check codes on the binary erasurechannel[J].IEEE Trans. on Inform. Theory.2002, 48(6):1570-1579 [6] Shokrollahi A. Raptor codes[J].IEEE Trans. on Inform. Theory.2006, 52(6):2551-2567 [7] MacKay D J C. Fountain codes[J].IEEE Proc-Commun.2005,152(6):1062-1068 [8] Orlitsky A, Viswanathan K, and Zhang J. Stopping setdistribution of LDPC code ensembles[J].IEEE Trans. onInform. Theory.2005, 51(3):929-953 [9] Hu X Y, Eleftheriou E, and Arnold D M. Regular andirregular progressive edge-growth tanner graphs[J].IEEE Trans.on Inform. Theory.2005, 51(1):386-398
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