Capacity-achieving Feedback Scheme for Gaussian Finite-State Markov Channels with Channel State Information

TL;DR

This paper develops capacity-achieving communication schemes for Gaussian finite-state Markov channels utilizing feedback and channel state information, revealing connections between feedback communication and control theory.

Contribution

It introduces novel schemes that leverage feedback and CSI to achieve channel capacity in FSMCs, bridging communication and control concepts.

Findings

Proposed schemes attain channel capacity under feedback and CSI conditions.

Established links between feedback communication and control theory.

Demonstrated effectiveness for Gaussian FSMCs with power constraints.

Abstract

In this paper, we propose capacity-achieving communication schemes for Gaussian finite-state Markov channels (FSMCs) subject to an average channel input power constraint, under the assumption that the transmitters can have access to delayed noiseless output feedback as well as instantaneous or delayed channel state information (CSI). We show that the proposed schemes reveals connections between feedback communication and feedback control.