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.
Proving threshold saturation for nonbinary SC-LDPC codes on the binary erasure channel / Graell I Amat, A.; Andriyanova, I.; Piemontese, A.. - (2014), pp. 1-4. (Intervento presentato al convegno 31st General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2014 tenutosi a chn nel 2014) [10.1109/URSIGASS.2014.6929239].
Proving threshold saturation for nonbinary SC-LDPC codes on the binary erasure channel
Piemontese A.
2014-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
