Achievable Information-Energy Region in the Finite Block-Length Regime with Finite Constellations

TL;DR

This paper defines an achievable information-energy region for simultaneous data and energy transfer over noisy channels in finite block-lengths with finite constellations, proposing a code construction that is optimal in several metrics.

Contribution

It introduces a novel code construction method for finite block-length, finite constellation systems, characterizing the achievable information-energy tuples and establishing optimality in multiple metrics.

Findings

The proposed code construction achieves optimal information rate, energy rate, and energy outage probability.

The method provides a comprehensive characterization of the information-energy region in finite regimes.

Decoding error probability remains sub-optimal in the proposed construction.

Abstract

This paper characterizes an achievable information-energy region of simultaneous information and energy transmission over an additive white Gaussian noise channel. This analysis is performed in the finite block-length regime with finite constellations. More specifically, a method for constructing a family of codes is proposed and the set of achievable tuples of information rate, energy rate, decoding error probability (DEP) and energy outage probability (EOP) is characterized. Using existing converse results, it is shown that the construction is information rate, energy rate, and EOP optimal. The achieved DEP is, however, sub-optimal.