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Proving Threshold Saturation for Nonbinary SC-LDPC Codes on the Binary Erasure Channel

Alexandre Graell i Amat (Institutionen för signaler och system, Kommunikationssystem) ; Iryna Andriyanova ; Amina Piemontese
31st General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2014; Beijing; China; 16 August 2014 through 23 August 2014 p. Art. no. 6929239. (2014)
[Konferensbidrag, refereegranskat]

We analyze nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group for transmission over the binary erasure channel. We prove threshold saturation of the belief propagation decoding to the potential threshold, by generalizing the proof technique based on potential functions recently introduced by Yedla et al.. The existence of the potential function is also discussed for a vector sparse system in the general case, and some existence conditions are developed. We finally give density evolution and simulation results for several nonbinary SC-LDPC code ensembles.



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Denna post skapades 2014-07-31. Senast ändrad 2016-06-30.
CPL Pubid: 200796

 

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