This paper characterizes the trade-offs between the information and energy transmission rates, the decoding error probability, and the energy outage probability in simultaneous information and energy transmission over an additive white Gaussian noise channel. The results in this paper take into account the impact of energy harvester (EH) non-linearities on the harvested energy. The analysis is carried out in the finite block-length regime with finite constellations. Improved converse and achievability bounds that account for the EH non-linearities are presented.
I. INTRODUCTIONSimultaneous information and energy transmission (SIET) has emerged as a key enabler for the sixth generation (6G) [1] of wireless communication systems. SIET provides the means of remotely energizing low-power devices such as sensors and actuators using information-carrying radio frequency (RF) signals, thus relieving these devices from their dependence on manual battery re-charging. Most existing works in this area, e.g. [2]-[8], consider SIET in the asymptotic blocklength regime. In this case, the decoding error probability (DEP) and the energy outage probability (EOP) can be made arbitrarily close to zero. However, in the finite block-length regime, which is the subject of this paper, the DEP and EOP are bounded away from zero. Earlier research on SIET in the finite block-length regime can be found in [9]-[12]. This work builds upon the work of [11] and [12] by accounting for the impact of the rectenna non-linearities [13]-[16] on the expected energy harvested from an RF signal. The trade-offs between the information and energy rates, DEP, and EOP are also characterized.
A. System ModelThe system consists of a transmitter, an information receiver (IR), and an energy harvester (EH). The objective of the transmitter is to simultaneously send information to the IR Sadaf ul Zuhra and Samir M. Perlaza are with INRIA,