A Scaling Law to Predict the Finite-Length Performance of Spatially-Coupled LDPC Codes

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Titel: A Scaling Law to Predict the Finite-Length Performance of Spatially-Coupled LDPC Codes
Autoren: Olmos, Pablo M., Urbanke, Ruediger L.
Verlagsinformationen: Institute of Electrical and Electronics Engineers
Piscataway
Publikationsjahr: 2015
Bestand: Ecole Polytechnique Fédérale Lausanne (EPFL): Infoscience
Schlagwörter: Codes on graphs, spatially-coupled LDPC codes, iterative decoding thresholds, finite-length code performance
Beschreibung: Spatially-coupled low-density parity-check (SC-LDPC) codes are known to have excellent asymptotic properties. Much less is known regarding their finite-length performance. We propose a scaling law to predict the error probability of finite-length spatially coupled code ensembles when transmission takes place over the binary erasure channel. We discuss how the parameters of the scaling law are connected to fundamental quantities appearing in the asymptotic analysis of these ensembles and we verify that the predictions of the scaling law fit well to the data derived from simulations over a wide range of parameters. The ultimate goal of this line of research is to develop analytic tools for the design of SC-LDPC codes under practical constraints. ; LTHC
Publikationsart: article in journal/newspaper
Sprache: unknown
ISSN: 0018-9448
Relation: Ieee Transactions On Information Theory; https://infoscience.epfl.ch/handle/20.500.14299/119348; WOS:000354943600014
DOI: 10.1109/Tit.2015.2422816
Verfügbarkeit: https://doi.org/10.1109/Tit.2015.2422816
https://infoscience.epfl.ch/handle/20.500.14299/119348
https://hdl.handle.net/20.500.14299/119348
Dokumentencode: edsbas.E6D62CEC
Datenbank: BASE
Beschreibung
Abstract:Spatially-coupled low-density parity-check (SC-LDPC) codes are known to have excellent asymptotic properties. Much less is known regarding their finite-length performance. We propose a scaling law to predict the error probability of finite-length spatially coupled code ensembles when transmission takes place over the binary erasure channel. We discuss how the parameters of the scaling law are connected to fundamental quantities appearing in the asymptotic analysis of these ensembles and we verify that the predictions of the scaling law fit well to the data derived from simulations over a wide range of parameters. The ultimate goal of this line of research is to develop analytic tools for the design of SC-LDPC codes under practical constraints. ; LTHC
ISSN:00189448
DOI:10.1109/Tit.2015.2422816