Outage Behavior of Discrete Memoryless Channels (DMCs) Under Channel Estimation Errors

TL;DR

This paper introduces the estimation-induced outage (EIO) capacity for discrete memoryless channels, providing a theoretical framework for reliable communication under imperfect channel state information with practical applications to fading channels.

Contribution

It derives a single-letter characterization of the maximal EIO rate and proves a coding theorem and strong converse for DMCs with noisy channel estimates.

Findings

EIO capacity guarantees reliable communication with a target outage probability.

Comparison of EIO capacity with mismatched ML decoding in Ricean fading channels.

Analysis of rate-limited feedback effects on EIO capacity.

Abstract

Communication systems are usually designed by assuming perfect channel state information (CSI). However, in many practical scenarios, only a noisy estimate of the channel is available, which may strongly differ from the true channel. This imperfect CSI scenario is addressed by introducing the notion of estimation-induced outage (EIO) capacity. We derive a single-letter characterization of the maximal EIO rate and prove an associated coding theorem and its strong converse for discrete memoryless channels (DMCs). The transmitter and the receiver rely on the channel estimate and the statistics of the estimate to construct codes that guarantee reliable communication with a certain outage probability. This ensures that in the non-outage case the transmission meets the target rate with small error probability, irrespective of the quality of the channel estimate. Applications of the EIO capacity to a single-antenna (non-ergodic) Ricean fading channel are considered. The EIO capacity for this case is compared to the EIO rates of a communication system in which the receiver decodes by using a mismatched ML decoder. The effects of rate-limited feedback to provide the transmitter with quantized CSI are also investigated.