Degraded broadcast diamond channels with Noncausal state information at the source

Min Li, Osvaldo Simeone, Aylin Yener

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


A state-dependent degraded broadcast diamond channel is studied where the source-to-relays cut is modeled with two noiseless, finite-capacity digital links with a degraded broadcasting structure, while the relays-to-destination cut is a general multiple access channel controlled by a random state. It is assumed that the source has noncausal channel state information and the relays have no state information. Under this model, first, the capacity is characterized for the case where the destination has state information, i.e., has access to the state sequence. It is demonstrated that in this case, a joint message and state transmission scheme via binning is optimal. Next, the case where the destination does not have state information, i.e., the case with state information at the source only, is considered. For this scenario, lower and upper bounds on the capacity are derived for the general discrete memoryless model. Achievable rates are then computed for the case in which the relays-to-destination cut is affected by an additive Gaussian state. Numerical results are provided that illuminate the performance advantages that can be accrued by leveraging noncausal state information at the source.

Original languageEnglish (US)
Article number6587319
Pages (from-to)8210-8223
Number of pages14
JournalIEEE Transactions on Information Theory
Issue number12
StatePublished - Dec 2013

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


  • Binning
  • degraded broadcasting
  • diamond relay channels
  • distributed antenna system
  • noncausal channel state information
  • state-dependent channels


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