Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime
<|reference_start|>Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime: 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.<|reference_end|>
@article{stepanov2006instanton,
    title={Instanton analysis of Low-Density-Parity-Check codes in the error-floor
  regime},
    author={M.G. Stepanov, M. Chertkov},
    journal={arXiv preprint arXiv:cs/0601070},
    year={2006},
    number={LA-UR-06-0126},
    archivePrefix={arXiv},
    eprint={cs/0601070},
    primaryClass={cs.IT cond-mat.dis-nn math.IT}
}