Sufficient Conditions for the Tightness of Shannon's Capacity Bounds for Two-Way Channels

TL;DR

This paper introduces new sufficient conditions that allow for closed-form determination of the capacity region in two-way channels, extending and relaxing previous symmetry-based criteria.

Contribution

It presents generalized conditions that improve upon Shannon's original criteria, enabling broader identification of channel capacity regions.

Findings

Conditions successfully identify capacity regions in various channel examples.

Proposed criteria relax symmetry requirements of Shannon's original conditions.

Examples demonstrate the effectiveness and advantages of the new conditions.

Abstract

New sufficient conditions for determining in closed form the capacity region of point-to-point memoryless two-way channels (TWCs) are derived. The proposed conditions not only relax Shannon's condition which can identify only TWCs with a certain symmetry property but also generalize other existing results. Examples are given to demonstrate the advantages of the proposed conditions.