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    Error Correction on a Tree: An Instanton Approach

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    Error Correction on a Tree An ...
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    Author
    Chernyak, V.
    Chertkov, M.
    Stepanov, M. G.
    Vasic, Bane
    Affiliation
    Univ Arizona, Dept Elect & Comp Engn
    Issue Date
    2004-11-05
    
    Metadata
    Show full item record
    Publisher
    AMER PHYSICAL SOC
    Citation
    Chernyak, 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.93.198702
    Journal
    PHYSICAL REVIEW LETTERS
    Rights
    Copyright © 2004 American Physical Society.
    Collection Information
    This 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.
    Abstract
    We 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.
    ISSN
    0031-9007
    DOI
    10.1103/physrevlett.93.198702
    Version
    Final published version
    ae974a485f413a2113503eed53cd6c53
    10.1103/physrevlett.93.198702
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    UA Faculty Publications

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