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dc.contributor.authorChernyak, V.
dc.contributor.authorChertkov, M.
dc.contributor.authorStepanov, M. G.
dc.contributor.authorVasic, Bane
dc.date.accessioned2020-07-31T23:36:41Z
dc.date.available2020-07-31T23:36:41Z
dc.date.issued2004-11-05
dc.identifier.citationChernyak, V., Chertkov, M., Stepanov, M., & Vasic, B. (2004). Error Correction on a Tree: An Instanton Approach. Physical Review Letters, 93(19). doi: 10.1103/physrevlett.93.198702en_US
dc.identifier.issn0031-9007
dc.identifier.doi10.1103/physrevlett.93.198702
dc.identifier.urihttp://hdl.handle.net/10150/641963
dc.description.abstractWe introduce a method that allows analytical or semianalytical estimating of the post-error correction bit error rate (BER) when a forward-error correction is utilized for transmitting information through a noisy channel. The generic method that applies to a variety of error-correction schemes in the regimes where the BER is low is illustrated using the example of a finite-size code approximated by a treelike structure. Exploring the statistical physics formulation of the problem we find that the BER decreases with the signal-to-noise ratio nonuniformly, i.e., crossing over through a sequence of phases. The higher the signal-to-noise ratio the lower the symmetry of the phase dominating BER.en_US
dc.language.isoenen_US
dc.publisherAMER PHYSICAL SOCen_US
dc.rightsCopyright © 2004 American Physical Society.en_US
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en_US
dc.titleError Correction on a Tree: An Instanton Approachen_US
dc.typeArticleen_US
dc.contributor.departmentUniv Arizona, Dept Elect & Comp Engnen_US
dc.identifier.journalPHYSICAL REVIEW LETTERSen_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal published versionen_US
dc.source.journaltitlePhysical Review Letters
dc.source.volume93
dc.source.issue19
refterms.dateFOA2020-07-31T23:36:42Z


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