Capacity Maximization for RIS-assisted Multi-user MISO Communication Systems
Abstract: We consider a multi-user multiple input single output (MU-MISO) system assisted by a reconfigurable intelligent surface (RIS). For such a system, we aim to optimally select the RIS phase shifts and precoding vectors for maximizing the effective rank of the weighted channel covariance matrix which in turn improves the channel capacity. For a low-complex transmitter design, we employ maximum ratio transmission (MRT) and minimum-mean square error (MMSE) precoding schemes along with water-filling algorithm-based power allocation. Further, we show that MRT and MMSE exhibit equivalent performance and become optimal when the channel effective rank is maximized by optimally configuring the RIS consisting of a large number of elements.
- Y. Liu, X. Liu, X. Mu, T. Hou, J. Xu, M. Di Renzo, and N. Al-Dhahir, “Reconfigurable intelligent surfaces: Principles and opportunities,” IEEE commun. surveys & tut., vol. 23, no. 3, pp. 1546–1577, 2021.
- E. Björnson, H. Wymeersch, B. Matthiesen, P. Popovski, L. Sanguinetti, and E. de Carvalho, “Reconfigurable intelligent surfaces: A signal processing perspective with wireless applications,” IEEE Signal Processing Magazine, vol. 39, no. 2, pp. 135–158, 2022.
- M. Di Renzo, A. Zappone, M. Debbah, M.-S. Alouini, C. Yuen, J. De Rosny, and S. Tretyakov, “Smart radio environments empowered by reconfigurable intelligent surfaces: How it works, state of research, and the road ahead,” IEEE JSAC, vol. 38, no. 11, pp. 2450–2525, 2020.
- P. Wang, J. Fang, X. Yuan, Z. Chen, and H. Li, “Intelligent reflecting surface-assisted millimeter wave communications: Joint active and passive precoding design,” IEEE Trans. Veh. Technol., vol. 69, no. 12, pp. 14 960–14 973, 2020.
- H. Guo, Y.-C. Liang, J. Chen, and E. G. Larsson, “Weighted sum-rate maximization for reconfigurable intelligent surface aided wireless networks,” IEEE trans. wireless commun., vol. 19, no. 5, pp. 3064–3076, 2020.
- L. Du, S. Shao, G. Yang, J. Ma, Q. Liang, and Y. Tang, “Capacity characterization for reconfigurable intelligent surfaces assisted multiple-antenna multicast,” IEEE Trans. Wireless Commun., vol. 20, no. 10, pp. 6940–6953, 2021.
- D. Gesbert, H. Bolcskei, D. Gore, and A. Paulraj, “MIMO wireless channels: capacity and performance prediction,” in IEEE Globecom, vol. 2, 2000, pp. 1083–1088 vol.2.
- Ö. Özdogan, E. Björnson, and E. G. Larsson, “Using intelligent reflecting surfaces for rank improvement in MIMO communications,” in IEEE ICASSP. IEEE, 2020, pp. 9160–9164.
- O. Roy and M. Vetterli, “The effective rank: A measure of effective dimensionality,” in European sig. process. conf., 2007, pp. 606–610.
- M. A. ElMossallamy, H. Zhang, R. Sultan, K. G. Seddik, L. Song, G. Y. Li, and Z. Han, “On spatial multiplexing using reconfigurable intelligent surfaces,” IEEE Wireless Commun. Lett., vol. 10, no. 2, pp. 226–230, 2020.
- S. Meng, W. Tang, W. Chen, J. Lan, Q. Y. Zhou, Y. Han, X. Li, and S. Jin, “Rank optimization for MIMO channel with RIS: Simulation and measurement,” IEEE Wireless Commun. Lett., 2023.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.