Optimization of Effective Area Spectral Efficiency for Wireless Communications Systems under Nakagami-m Fading Channels

In this paper, we present an optimization of the effective area spectral efficiency (EASE) metric for point-to-point transmission systems, and decode-and-forward (DF) relaying communications networks under Nakagami-m fading channels. For each transmission mode, we derive a closed-form expression for the maximum transmission range and use it to derive the average affected area, and the average ergodic capacity. We then introduce the EASE expression to quantify the spatial spectral utilization efficiency. For DF relaying, the EASE metric is based on a newly introduced index, namely, useful relaying index (URndx), which is used to validate the communication possibility between a source and a relay for given transmission parameters in a given environment, and provides information about the necessity of using relaying communications. Based on the expression of EASE, we derive the optimal transmission powers that maximize the EASE for each mode. Through mathematical analysis and numerical examples, we show that the EASE metric provides a new perspective on the design of wireless transmissions, especially the transmission power optimization process.