On the Ozarow-Leung scheme for the Gaussian broadcast channel with feedback

Yonathan Murin, Yonatan Kaspi, Ron Dabora

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this work, we consider linear-feedback schemes for the two-user Gaussian broadcast channel with noiseless feedback. We extend the transmission scheme of [Ozarow and Leung, 1984] by applying estimators with memory instead of the memoryless estimators used by Ozarow and Leung (OL) in their original work. A recursive formulation of the mean square errors achieved by the proposed estimators is provided, along with a proof for the existence of a fixed point. This enables characterizing the achievable rates of the extended scheme. Finally, via numerical simulations it is shown that the extended scheme can improve upon the original OL scheme in terms of achievable rates, as well as achieve a low probability of error after a finite number of channel uses.

Original languageEnglish
Article number6971154
Pages (from-to)948-952
Number of pages5
JournalIEEE Signal Processing Letters
Volume22
Issue number7
DOIs
StatePublished - 1 Jul 2015

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