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.File | Dimensione | Formato | |
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