Proving Threshold Saturation for Nonbinary SC-LDPC Codes on the Binary Erasure Channel
Paper i proceeding, 2014

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.


Alexandre Graell i Amat

Chalmers, Signaler och system, Kommunikation, Antenner och Optiska Nätverk

Iryna Andriyanova

Université de Cergy-Pontoise

Amina Piemontese

Universita degli Studi di Parma

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

Art. no. 6929239- 6929239
978-146735225-3 (ISBN)


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