Proving Threshold Saturation for Nonbinary SC-LDPC Codes on the Binary Erasure Channel
Paper in 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.
Author
Alexandre Graell i Amat
Chalmers, Signals and Systems, Communication, Antennas and Optical Networks
Iryna Andriyanova
University of Cergy-Pontoise
Amina Piemontese
University of 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)
Areas of Advance
Information and Communication Technology
Subject Categories
Electrical Engineering, Electronic Engineering, Information Engineering
DOI
10.1109/URSIGASS.2014.6929239
ISBN
978-146735225-3