Typical behavior of relays in communication channels

Roberto C. Alamino*, David Saad

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    The typical behavior of the relay-without-delay channel under low-density parity-check coding and its multiple-unit generalization, termed the relay array, is studied using methods of statistical mechanics. A demodulate-and- forward strategy is analytically solved using the replica symmetric ansatz which is exact in the system studied at Nishimori's temperature. In particular, the typical level of improvement in communication performance by relaying messages is shown in the case of a small and a large number of relay units. © 2007 The American Physical Society.

    Original languageEnglish
    Article number061124
    Pages (from-to)1-8
    Number of pages8
    JournalPhysical Review E
    Issue number6
    Publication statusPublished - 21 Dec 2007

    Bibliographical note

    Copyright of the American Physical Society.


    • statistical physics
    • replica theory
    • relay channel
    • LDPC codes


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