Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime

dc.creatorStepanov, M. G.
dc.creatorChertkov, M.
dc.date2006-01-16
dc.date.accessioned2026-07-07T08:15:51Z
dc.date.available2026-07-07T08:15:51Z
dc.descriptionIn this paper we develop instanton method introduced in [1], [2], [3] to analyze quantitatively performance of Low-Density-Parity-Check (LDPC) codes decoded iteratively in the so-called error-floor regime. We discuss statistical properties of the numerical instanton-amoeba scheme focusing on detailed analysis and comparison of two regular LDPC codes: Tanner's (155, 64, 20) and Margulis' (672, 336, 16) codes. In the regime of moderate values of the signal-to-noise ratio we critically compare results of the instanton-amoeba evaluations against the standard Monte-Carlo calculations of the Frame-Error-Rate.
dc.description5 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cs/0601070
dc.identifierhttp://arxiv.org/abs/cs/0601070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133583
dc.subjectInformation Theory
dc.subjectDisordered Systems and Neural Networks
dc.titleInstanton analysis of Low-Density-Parity-Check codes in the error-floor regime
dc.typetext

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