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    Asymptotic Error Probability of the Gallager B Decoder Under Timing Errors

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    Asymptotic Error Probability of ...
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    Author
    Dupraz, Elsa
    Declercq, David
    Vasic, Bane
    Affiliation
    Univ Arizona, Dept Elect & Comp Engn
    Issue Date
    2017-01-04
    
    Metadata
    Show full item record
    Publisher
    IEEE
    Citation
    E. Dupraz, D. Declercq and B. Vasic, "Asymptotic Error Probability of the Gallager B Decoder Under Timing Errors," in IEEE Communications Letters, vol. 21, no. 4, pp. 698-701, April 2017, doi: 10.1109/LCOMM.2017.2647804.
    Journal
    IEEE Communications Letters
    Rights
    Copyright © 2017 IEEE.
    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
    In a circuit, timing errors occur when a logic gate output does not switch before the clock rising edge. In this letter, we consider Gallager B decoders under timing errors, following the error model derived by Amaricai et al. from SPICE measurements. For this model, we provide a theoretical analysis of the performance of LDPC decoders. This letter is based on the analysis of the computation trees of the decoder free of logic gate errors and of the decoder with timing errors. As a main result, we show that as the number of iterations goes to infinity, the error probability of the decoder with timing errors converges to the error probability of the logic gate error-free decoder. Monte Carlo simulations confirm this result even for moderate code lengths, which is in accordance with the experimental observations.
    ISSN
    1089-7798
    DOI
    10.1109/lcomm.2017.2647804
    Version
    Final accepted manuscript
    ae974a485f413a2113503eed53cd6c53
    10.1109/lcomm.2017.2647804
    Scopus Count
    Collections
    UA Faculty Publications

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