We analyze the asymptotic performance of nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group, when the transmission takes place over the binary erasure channel. We propose an efficient method to derive an upper bound to the maximum a posteriori probability (MAP) threshold for nonbinary LDPC codes, and observe that the MAP performance of regular LDPC codes improves with the alphabet size. We then consider nonbinary SC-LDPC codes. We show that the same threshold saturation effect experienced by binary SC-LDPC codes occurs for the nonbinary codes, hence we conjecture that the BP threshold for large termination length approaches the MAP threshold of the underlying regular ensemble.

Nonbinary spatially-coupled LDPC codes on the binary erasure channel / Piemontese, Amina; Graell i. Amat, Alexandre; Colavolpe, Giulio. - STAMPA. - (2013), pp. 3270-3274. ((Intervento presentato al convegno IEEE Intern. Conf. Commun. (ICC'13) tenutosi a Budapest, Hungary nel June 2013 [10.1109/ICC.2013.6655049].

Nonbinary spatially-coupled LDPC codes on the binary erasure channel

PIEMONTESE, Amina;COLAVOLPE, Giulio
2013-01-01

Abstract

We analyze the asymptotic performance of nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group, when the transmission takes place over the binary erasure channel. We propose an efficient method to derive an upper bound to the maximum a posteriori probability (MAP) threshold for nonbinary LDPC codes, and observe that the MAP performance of regular LDPC codes improves with the alphabet size. We then consider nonbinary SC-LDPC codes. We show that the same threshold saturation effect experienced by binary SC-LDPC codes occurs for the nonbinary codes, hence we conjecture that the BP threshold for large termination length approaches the MAP threshold of the underlying regular ensemble.
978-1-4673-3122-7
Nonbinary spatially-coupled LDPC codes on the binary erasure channel / Piemontese, Amina; Graell i. Amat, Alexandre; Colavolpe, Giulio. - STAMPA. - (2013), pp. 3270-3274. ((Intervento presentato al convegno IEEE Intern. Conf. Commun. (ICC'13) tenutosi a Budapest, Hungary nel June 2013 [10.1109/ICC.2013.6655049].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2783198
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