IRS Assisted MIMO Full Duplex: Rate Analysis and Beamforming Under Imperfect CSI

Intelligent reflecting surfaces (IRS) have emerged as a promising technology to enhance the performance of wireless communication systems. By actively manipulating propagation environment, IRS enables efficient signal transmission and reception. In recent years, integration with full-duplex (FD) has garnered significant attention due its potential further improve spectral energy efficiencies. IRS-assisted FD systems combine benefits both technologies, providing powerful solution for next generation cellular this manuscript, we present novel approach jointly optimize active passive beamforming in multiple-input-multiple-output (MIMO) system assisted by an weighted sum rate (WSR) maximization. Given inherent difficulty obtaining perfect channel state information (CSI) practical scenarios, consider imperfect CSI propose statistically robust strategy maximize ergodic WSR. Additionally, analyze achievable WSR MIMO under deriving lower upper bounds. To tackle problem maximization, employ concept expected minimum mean squared error (EWMMSE), which exploits covariance matrices ensures convergence local optimum. We evaluate effectiveness our proposed design through extensive simulations. The results demonstrate that yields improvements compared simplistic disregards errors, while also outperforming half-duplex (HD) considerably.