On the performance of multiple-IRS aided wireless networks over Nakagami- m fading channels

Abstract

Multiple intelligent reflecting surfaces (IRS) in a wireless system are considered to enhance performance, efficiency, and flexibility in wireless networks. In this paper, we analyze outage probability (OP) for multiple IRS panels-assisted wireless systems over Nakagami- $m$ fading channels. We focus on selecting the best IRS panel to maintain the quality of service and enhance the user experience. We derive two closed-form OP expressions using the central limit theorem and Laguerre series expansion. Additionally, we develop a novel asymptotic OP expression and obtain a novel diversity order. The diversity order of the considered system model depends on the minimum fading parameter ( $m$) between the transmitter-IRS panel and IRS panel-receiver links and the number of IRS panels. We thoroughly investigate the impact of system parameters and validate our analytical results with simulations. Our findings emphasize that diversity order depends on the minimum fading parameter ( $m$) between the transmitter-IRS panel and IRS panel-receiver links, the number of IRS elements in each panel, and the number of IRS panels.