On the Capacity of SWIPT Systems with a Nonlinear Energy Harvesting Circuit

TL;DR

This paper investigates the fundamental limits of SWIPT systems with nonlinear energy harvesting, revealing that the optimal input distribution is discrete with finite mass points, and demonstrating how power constraints affect capacity and rate-energy trade-offs.

Contribution

It characterizes the capacity-achieving input distribution for nonlinear SWIPT systems under practical constraints, showing it is discrete with finite mass points and analyzing the impact of power constraints.

Findings

Optimal input distribution is discrete with finite mass points.

Rate-energy region improves with larger peak power constraints.

Increasing average power reduces rate loss compared to systems without EH constraints.

Abstract

In this paper, we study information-theoretic limits for simultaneous wireless information and power transfer (SWIPT) systems employing a practical nonlinear radio frequency (RF) energy harvesting (EH) receiver. In particular, we consider a three-node system with one transmitter that broadcasts a common signal to separated information decoding (ID) and EH receivers. Owing to the nonlinearity of the EH receiver circuit, the efficiency of wireless power transfer depends significantly on the waveform of the transmitted signal. In this paper, we aim to answer the following fundamental question: What is the optimal input distribution of the transmit waveform that maximizes the rate of the ID receiver for a given required harvested power at the EH receiver? In particular, we study the capacity of a SWIPT system impaired by additive white Gaussian noise (AWGN) under average-power (AP) and peak-power (PP) constraints at the transmitter and an EH constraint at the EH receiver. Using Hermite polynomial bases, we prove that the optimal capacity-achieving input distribution that maximizes the rate-energy region is unique and discrete with a finite number of mass points. Furthermore, we show that the optimal input distribution for the same problem without PP constraint is discrete whenever the EH constraint is active and continuous zero-mean Gaussian, otherwise. Our numerical results show that the rate-energy region is enlarged for a larger PP constraint and that the rate loss of the considered SWIPT system compared to the AWGN channel without EH receiver is reduced by increasing the AP budget.