Finite-length linear schemes for joint source-channel coding over Gaussian broadcast channels with feedback

Yonathan Murin, Yonatan Kaspi, Ron Dabora, Deniz Gunduz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we study linear encoding for a pair of correlated Gaussian sources transmitted over a two-user Gaussian broadcast channel in the presence of unit-delay noiseless feedback, abbreviated as the GBCF. Each pair of source samples is transmitted using a linear transmission scheme in a finite number of channel uses. We investigate three linear transmission schemes: A scheme based on the Ozarow-Leung (OL) code, a scheme based on the linear quadratic Gaussian (LQG) code of Ardestanizadeh et al., and a novel scheme derived in this paper using a dynamic programming (DP) approach. For the OL and LQG schemes we present lower and upper bounds on the minimal number of channel uses needed to achieve a target mean-square error (MSE) pair. For the LQG scheme in the symmetric setting, we identify the optimal scaling of the sources, which results in a significant improvement of its finite horizon performance, and, in addition, characterize the (exact) minimal number of channel uses required to achieve a target MSE. Finally, for the symmetric setting, we show that for any fixed and finite number of channel uses, the DP scheme achieves an MSE lower than the MSE achieved by either the LQG or the OL schemes.

Original languageEnglish
Article number7873249
Pages (from-to)2737-2772
Number of pages36
JournalIEEE Transactions on Information Theory
Volume63
Issue number5
DOIs
StatePublished - 1 May 2017

Keywords

  • Broadcasting
  • Gaussian channels
  • channel coding
  • feedback communications
  • source coding

ASJC Scopus subject areas

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

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