RIS-assisted Millimeter-Wave MIMO Communication Systems: Ergodic Capacity Analysis and Optimization

Reconfigurable intelligent surfaces (RISs) have emerged as a prospective technology for next-generation wireless networks due to their potential in coverage and capacity enhancement. The analysis and optimization of ergodic capacity for RIS-assisted communication systems have been investigated extensively. However, the Rayleigh or Rician channel model is usually utilized in the existing work, which is not suitable for millimeter-wave (mmWave) multiple-input multiple-output (MIMO) systems. Thus, we fill the gap and consider the ergodic capacity of RIS-assisted mmWave MIMO communication systems under the Saleh-Valenzuela channel model. Firstly, we derive tight approximations of ergodic capacity and a tight upper bound in high signal-to-noise ratio regime. Then, we aim to maximize the ergodic capacity by jointly designing the transmit covariance matrix at the base station and the reflection coefficients at the RIS. Specifically, the transmit covariance matrix is optimized by the water-filling algorithm and the reflection coefficients are optimized using the Riemanian conjugate gradient algorithm. Simulation results validate the tightness of the derived ergodic capacity approximations and the effectiveness of the proposed algorithms.