Characterization of Capacity and Outage of RIS-aided Downlink Systems under Rician Fading
Abstract: This letter presents optimal beamforming and outage analysis for a Reconfigurable Intelligent Surface (RIS)-aided multiple input single output downlink system under Rician fading on both the direct and the RIS-assisted indirect links. We focus on maximizing the capacity for two transmitter architectures: fully digital (FD) and fully analog (FA). This capacity maximization problem with optimally configured RIS is shown to be $L_1$ norm-maximization with respect to the transmit beamformer. To obtain the optimal FD beamformer, we propose a complex $L_1$-PCA-based algorithm whose complexity is significantly lower than the existing semi-definite relaxation-based solutions. We also propose a low-complexity optimal beamforming algorithm to obtain the FA beamformer solution. Further, we derive analytical upper bounds on the SNR achievable by the proposed algorithms and utilize them to characterize the lower bounds on outage probabilities. The derived bounds are numerically shown to closely match the achievable performance for a low-rank channel matrix and are shown to be exact for a unit-rank channel matrix.
- E. Basar, M. Di Renzo, J. De Rosny, M. Debbah, M.-S. Alouini, and R. Zhang, “Wireless communications through reconfigurable intelligent surfaces,” IEEE Access, vol. 7, pp. 116 753–116 773, 2019.
- Y. Liu, X. Liu, X. Mu, T. Hou, J. Xu, M. Di Renzo, and N. Al-Dhahir, “Reconfigurable intelligent surfaces: Principles and opportunities,” IEEE Commununications Survey & Tutorials, vol. 23, no. 3, pp. 1546–1577, 2021.
- M. Di Renzo, F. H. Danufane, and S. Tretyakov, “Communication models for reconfigurable intelligent surfaces: From surface electromagnetics to wireless networks optimization,” Proceedings of the IEEE, vol. 110, no. 9, pp. 1164–1209, 2022.
- J. Wang, H. Wang, Y. Han, S. Jin, and X. Li, “Joint transmit beamforming and phase shift design for reconfigurable intelligent surface assisted MIMO systems,” IEEE Transactions on Cognitive Communications and Networking, vol. 7, no. 2, pp. 354–368, 2021.
- A. L. Moustakas, G. C. Alexandropoulos, and M. Debbah, “Capacity optimization using reconfigurable intelligent surfaces: A large system approach,” in IEEE GLOBECOM. IEEE, 2021, pp. 01–06.
- J. Choi, G. Kwon, and H. Park, “Multiple intelligent reflecting surfaces for capacity maximization in LOS MIMO systems,” IEEE Wireless Communications Letters, vol. 10, no. 8, pp. 1727–1731, 2021.
- A.-A. A. Boulogeorgos and A. Alexiou, “Performance analysis of reconfigurable intelligent surface-assisted wireless systems and comparison with relaying,” IEEE Access, vol. 8, pp. 94 463–94 483, 2020.
- D. Kudathanthirige, D. Gunasinghe, and G. Amarasuriya, “Performance analysis of intelligent reflective surfaces for wireless communication,” in IEEE ICC, 2020, pp. 1–6.
- A. M. Salhab and M. H. Samuh, “Accurate performance analysis of reconfigurable intelligent surfaces over rician fading channels,” IEEE Wireless Communication Letters, vol. 10, no. 5, pp. 1051–1055, 2021.
- T. Van Chien, L. T. Tu, S. Chatzinotas, and B. Ottersten, “Coverage probability and ergodic capacity of intelligent reflecting surface-enhanced communication systems,” IEEE Commununication Letterrs, vol. 25, no. 1, pp. 69–73, 2020.
- P. Xu, W. Niu, G. Chen, Y. Li, and Y. Li, “Performance analysis of ris-assisted systems with statistical channel state information,” IEEE Trans. Veh. Technol., vol. 71, no. 1, pp. 1089–1094, 2021.
- Q. Tao, J. Wang, and C. Zhong, “Performance analysis of intelligent reflecting surface aided communication systems,” IEEE Communication Letters, vol. 24, no. 11, pp. 2464–2468, 2020.
- T. Wang, G. Chen, J. P. Coon, and M.-A. Badiu, “Chernoff bound and saddlepoint approximation for outage probability in IRS-assisted wireless systems,” in IEEE GLOBECOM Workshops, 2021, pp. 1–5.
- N. K. Kundu and M. R. McKay, “RIS-assisted MISO communication: Optimal beamformers and performance analysis,” in IEEE GLOBECOM Workshops, 2020, pp. 1–6.
- C. Guo, Y. Cui, F. Yang, and L. Ding, “Outage probability analysis and minimization in intelligent reflecting surface-assisted MISO systems,” IEEE Communication Letters, vol. 24, no. 7, pp. 1563–1567, 2020.
- J. Ye, A. Kammoun, and M.-S. Alouini, “Optimal phase shift solution and diversity analysis for discrete RIS-assisted systems under rank deficient channels,” IEEE Wireless Communication Letters, 2023.
- K. K. Kota, M. S. S. Manasa, P. D. Mankar, and H. S. Dhillon, “Statistically optimal beamforming and ergodic capacity for RIS-aided MISO systems,” IEEE Access, pp. 1–1, 2023.
- M. Abbasi Mosleh, F. Heliot, and R. Tafazolli, “Ergodic capacity analysis of reconfigurable intelligent surface assisted MIMO systems over rayleigh-rician channels,” IEEE Commununication Letterrs, no. 1, pp. 75–79, 2023.
- N. Tsagkarakis, P. P. Markopoulos, G. Sklivanitis, and D. A. Pados, “L1-norm principal-component analysis of complex data,” IEEE Trans. Sig. Proc., vol. 66, no. 12, pp. 3256–3267, 2018.
- Z.-q. Luo, W.-k. Ma, A. M.-c. So, Y. Ye, and S. Zhang, “Semidefinite relaxation of quadratic optimization problems,” IEEE Signal Processing Magazine, vol. 27, no. 3, pp. 20–34, 2010.
- Y.-C. Ko, M.-S. Alouini, and M. K. Simon, “Outage probability of diversity systems over generalized fading channels,” IEEE Transsactions on Commununications, vol. 48, no. 11, pp. 1783–1787, 2000.
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