Finite-size effects and error-free communication in Gaussian channels

Ido Kanter*, David Saad

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    The efficacy of a specially constructed Gallager-type error-correcting code to communication in a Gaussian channel is examined. The construction is based on the introduction of complex matrices, used in both encoding and decoding, which comprise sub-matrices of cascading connection values. The finite-size effects are estimated for comparing the results with the bounds set by Shannon. The critical noise level achieved for certain code rates and infinitely large systems nearly saturates the bounds set by Shannon even when the connectivity used is low.

    Original languageEnglish
    Pages (from-to)1675-1681
    Number of pages7
    JournalJournal of Physics A: Mathematical and General
    Issue number8
    Publication statusPublished - 3 Mar 2000

    Bibliographical note

    Copyright of the Institute of Physics


    • Gallager-type error-correcting code
    • Gaussian channel
    • complex matrices
    • critical noise


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