Reliability of the Gaussian broadcast channel with common message and feedback

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Abstract

We consider the two-user memoryless Gaussian broadcast channel (BC) with feedback and common message only. We show that linear-feedback schemes with message points, in the spirit of Schalkwijk&Kailath's scheme for point-to-point channels or Ozarow&Leung's scheme for BCs with private messages, are strictly suboptimal for this setup. In fact even with perfect feedback, the maximum rate achieved by these schemes is strictly smaller than capacity (which is the same with and without feedback). In contrast, rate-limited feedback suffices for bursty-feedback schemes to achieve double-exponential decay of the probability of error when the feedback rate RFB is at least equal to the forward rate R.

Original languageEnglish
Title of host publication2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2013
Pages210-214
Number of pages5
DOIs
Publication statusPublished - 22 Oct 2013
Event2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2013 - Darmstadt, Germany
Duration: 16 Jun 201319 Jun 2013

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Conference

Conference2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2013
Country/TerritoryGermany
CityDarmstadt
Period16/06/1319/06/13

Keywords

  • Broadcast channel
  • Capacity
  • Feedback
  • Linear schemes
  • Reliability

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