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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