English

Capacity of Generalized Discrete-Memoryless Push-to-Talk Two-Way Channels

Information Theory 2021-02-01 v5 math.IT

Abstract

In this report, we generalize Shannon's push-to-talk two-way channel (PTT-TWC) by allowing reliable full-duplex transmission as well as noisy reception in the half-duplex (PTT) mode. Viewing a PTT-TWC as two state-dependent one-way channels, we introduce a channel symmetry property pertaining to the one-way channels. Shannon's TWC capacity inner bound is shown to be tight for the generalized model under this symmetry property. We also analytically derive the capacity region, which is shown to be the convex hull of (at most) 4 rate pairs. Examples that illustrate different shapes of the capacity region are given, and efficient transmission schemes are discussed via the examples.

Keywords

Cite

@article{arxiv.1904.01473,
  title  = {Capacity of Generalized Discrete-Memoryless Push-to-Talk Two-Way Channels},
  author = {Jian-Jia Weng and Fady Alajaji and Tamás Linder},
  journal= {arXiv preprint arXiv:1904.01473},
  year   = {2021}
}

Comments

10 pages, 5 figures, 5 tables, a typo corrected, presented at CWIT'19