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

M. G. Stepanov; M. Chertkov

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

M. G. Stepanov·M. Chertkov

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Abstract

In 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.

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BibTeX RIS

M. G. Stepanov, M. Chertkov. 2006-01-16. Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime. https://arxiv.org/abs/cs/0601070

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