# Joint Transfer of Energy and Information in a Two-hop Relay Channel

## TL;DR

This paper investigates joint energy and information transfer in a two-hop RF relay channel with finite battery and energy loss, analyzing achievable rates with and without channel noise.

## Contribution

It models the energy storage as a channel state with memory and derives achievable rates for noiseless and noisy scenarios.

## Key findings

- Achievable rate derived for noiseless case.
- Extension of results to noisy second hop.
- Model accounts for energy storage and transfer constraints.

## Abstract

We study the problem of joint information and energy transfer in a two-hop channel with a Radio frequency (RF) energy harvesting relay. We consider a finite battery size at the relay and deterministic energy loss in transmitting energy. In other words, to be able to send an energy-contained symbol, the relay must receive multiple energy-contained symbols. Thus, we face a kind of channel with memory. We model the energy saved in battery as channel state with the challenge that the receiver does not know the channel state. First, we consider the problem without any channel noise and derive an achievable rate. Next, we extend the results to the case with an independent and identically distributed noise in the second hop (the relay-receiver link).