Stochastic Geometry Analysis of IRS-Assisted Downlink Cellular Networks

Using stochastic geometry tools, we develop a comprehensive framework to analyze the downlink performance of various types users (e.g., served by direct base station (BS) transmissions and indirect intelligent reflecting surface (IRS)-assisted transmissions) in cellular network with multiple BSs IRSs. For proposed users, provide approximate expressions for terms coverage probability, ergodic capacity, energy efficiency (EE). The can capture impact channel fading, locations IRSs, arbitrary phase-shifts interference experienced typical user supported transmission and/or IRS-assisted transmission. transmissions, first model desired signal power from nearest IRS as sum scaled generalized gamma (GG) random variables whose parameters are functions phase shifts. Then, derive Laplace Transform (LT) received closed form. Also, aggregate IRSs normal variables. LT all BSs. derived used calculate EE BS well transmissions. Finally, overall based on fraction which is defined function deployment density blockage probability links. Numerical results validate analytical extract useful insights related number elements, large-scale BSs,