# Joint Power Control and Rate Allocation enabling Ultra-Reliability and Energy Efficiency in SIMO Wireless Networks

## TL;DR

This paper develops an energy-efficient power control and rate allocation scheme for SIMO wireless systems with reliability constraints, demonstrating the advantages of MRC over other combining schemes and analyzing the impact of system parameters on ultra-reliability.

## Contribution

It introduces a novel allocation scheme that maximizes energy efficiency using average signal and interference statistics, and compares MRC with other combining methods under reliability constraints.

## Key findings

- MRC outperforms SC in energy efficiency.
- The resource gap converges to (M!)^(1/(2M)) as reliability increases.
- Higher antenna count M improves ultra-reliable operation.

## Abstract

Coming cellular systems are envisioned to open up to new services with stringent reliability and energy efficiency requirements. In this paper we focus on the joint power control and rate allocation problem in Single-Input Multiple-Output (SIMO) wireless systems with Rayleigh fading and stringent reliability constraints. We propose an allocation scheme that maximizes the energy efficiency of the system while making use only of average statistics of the signal and interference, and the number of antennas $M$ that are available at the receiver side. We show the superiority of the Maximum Ratio Combining (MRC) scheme over Selection Combining (SC) in terms of energy efficiency, and prove that the gap between the optimum allocated resources converges to $(M!)^(1/(2M))$ as the reliability constraint becomes more stringent. Meanwhile, in most cases MRC was also shown to be more energy efficient than Switch and Stay Combining (SSC) scheme, although this does not hold only when operating with extremely large $M$, extremely high/small average signal/interference power and/or highly power consuming receiving circuitry. Numerical results show the feasibility of the ultra-reliable operation when $M$ increases, while greater the fixed power consumption and/or drain efficiency of the transmit amplifier is, the greater the optimum transmit power and rate.