Simultaneous Information and Energy Transmission with Short Packets and Finite Constellations

TL;DR

This paper explores the fundamental limits and code constructions for transmitting both information and energy simultaneously over a noisy channel with finite block-lengths and finite input symbols.

Contribution

It introduces necessary conditions and a novel code construction method for achieving simultaneous information and energy transfer under finite block-length constraints.

Findings

Derived inequalities linking information rate, energy rate, DEP, and EOP.

Proposed a new code family satisfying specified transmission requirements.

Identified achievable tuples of information and energy transmission parameters.

Abstract

This paper characterizes the trade-offs between information and energy transmission over an additive white Gaussian noise channel in the finite block-length regime with finite channel input symbols. These trade-offs are characterized in the form of inequalities involving the information transmission rate, energy transmission rate, decoding error probability (DEP) and energy outage probability (EOP) for a given finite block-length code. The first set of results identify the set of necessary conditions that a given code must satisfy for simultaneous information and energy transmission. Following this, a novel method for constructing a family of codes that can satisfy a target information rate, energy rate, DEP and EOP is proposed. Finally, the achievability results identify the set of tuples of information rate, energy rate, DEP and EOP that can be simultaneously achieved by the constructed family of codes.