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    Majority Logic Decoding Under Data-Dependent Logic Gate Failures

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    majority_decoding_final.pdf
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    Author
    Brkic, Srdan
    Ivanis, Predrag
    Vasic, Bane
    Affiliation
    Univ Arizona, Dept Elect & Comp Engn
    Issue Date
    2017-10
    Keywords
    LDPC codes
    majority logic decoding
    Data-dependence
    faulty hardware
    probabilistic gate-output switching model
    
    Metadata
    Show full item record
    Publisher
    IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
    Citation
    S. Brkic, P. Ivaniš and B. Vasić, "Majority Logic Decoding Under Data-Dependent Logic Gate Failures," in IEEE Transactions on Information Theory, vol. 63, no. 10, pp. 6295-6306, Oct. 2017. doi: 10.1109/TIT.2017.2741466
    Journal
    IEEE TRANSACTIONS ON INFORMATION THEORY
    Rights
    © 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
    A majority logic decoder made of unreliable logic gates, whose failures are transient and data-dependent, is analyzed. Based on a combinatorial representation of fault configurations a closed-form expression for the average bit error rate for a one-step majority logic decoder is derived, for a regular low-density parity-check (LDPC) code ensemble and the proposed failure model. The presented analysis framework is then used to establish bounds on the one-step majority logic decoder performance under the simplified probabilistic gateoutput switching model. Based on the expander property of Tanner graphs of LDPC codes, it is proven that a version of the faulty parallel bit-flipping decoder can correct a fixed fraction of channel errors in the presence of data-dependent gate failures. The results are illustrated with numerical examples of finite geometry codes.
    ISSN
    0018-9448
    1557-9654
    DOI
    10.1109/TIT.2017.2741466
    Version
    Final accepted manuscript
    Sponsors
    European Union [309129]; Serbian Ministry of Science [TR32028]; NSF [ECCS-1500170]; Indo-US Science and Technology Forum through the Joint Networked Center for Data Storage Research [JC-16-2014-US]
    Additional Links
    http://ieeexplore.ieee.org/document/8013135/
    ae974a485f413a2113503eed53cd6c53
    10.1109/TIT.2017.2741466
    Scopus Count
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    UA Faculty Publications

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