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Reliability of the Gaussian Broadcast Channel with Common Message and Feedback (Invited)

Youlong Wu 1, 2 Paolo Minero Michèle Wigger 1, 2
1 COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
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 the forward rate R.
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https://hal.telecom-paris.fr/hal-02411971
Contributor : Telecomparis Hal <>
Submitted on : Sunday, December 15, 2019 - 12:39:47 PM
Last modification on : Wednesday, January 8, 2020 - 1:05:40 AM

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  • HAL Id : hal-02411971, version 1

Citation

Youlong Wu, Paolo Minero, Michèle Wigger. Reliability of the Gaussian Broadcast Channel with Common Message and Feedback (Invited). International Workshop on Signal Processing Advances in Wireless Communications, Jun 2013, Darmstadt, Germany. ⟨hal-02411971⟩

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