A Delay-Constrained General Achievable Rate and Certain Capacity Results for UWB Relay Channel

TL;DR

This paper derives a universal achievable rate and capacity bounds for UWB relay channels, demonstrating conditions where bounds coincide, and provides numerical insights into these limits.

Contribution

It introduces a UWB-specific achievable rate and upper bound for relay channels, highlighting cases where they match, advancing understanding of UWB relay channel capacities.

Findings

Upper and lower bounds coincide in degraded cases

Numerical results illustrate capacity limits

New bounds improve understanding of UWB relay channels

Abstract

In this paper, we derive UWB version of (i) general best achievable rate for the relay channel with decode-andforward strategy and (ii) max-flow min-cut upper bound, such that the UWB relay channel can be studied considering the obtained lower and upper bounds. Then, we show that by appropriately choosing the noise correlation coefficients, our new upper bound coincides with the lower bound in special cases of degraded and reversely degraded UWB relay channels. Finally, some numerical results are illustrated.