[en] A cell-free (CF) massive multiple-input-multiple-output (mMIMO) system can provide uniform spectral efficiency (SE) with simple signal processing. On the other hand, a recently introduced technology called hybrid relay-reflecting intelligent surface (HR-RIS) can customize the physical propagation environment by simultaneously reflecting and amplifying radio waves in preferred directions. Thus, it is natural that incorporating HR-RIS into CF mMIMO can be a symbiotic convergence of these two technologies for future wireless communications. This motivates us to consider an HR-RIS-aided CF mMIMO system to utilize their combined benefits. We first model the uplink/downlink channels and derive the minimum-mean-square-error estimate of the effective channels. We then present a comprehensive analysis of SE performance of the considered system. Specifically, we derive closed-form expressions for the uplink and downlink SE. The results reveal important observations on the performance gains achieved by HR-RISs compared to conventional systems. The presented analytical results are also valid for conventional CF mMIMO systems and those aided by passive reconfigurable intelligent surfaces. Such results play an important role in designing new transmission strategies and optimizing HR-RIS-aided CF mMIMO systems. Finally, we provide extensive numerical results to verify the analytical derivations and the effectiveness of the proposed system design under various settings.
Disciplines :
Computer science
Author, co-author :
Nguyen, Nhan Thanh
Nguyen, Van-Dinh
Nguyen, Hieu Van
Ngo, Hien Quoc
Chatzinotas, Symeon ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SigCom
Juntti, Markku
External co-authors :
yes
Language :
English
Title :
Spectral Efficiency Analysis of Hybrid Relay-Reflecting Intelligent Surface-Assisted Cell-Free Massive MIMO Systems
Publication date :
November 2022
Journal title :
IEEE Transactions on Wireless Communications
ISSN :
1558-2248
Publisher :
Institute of Electrical and Electronics Engineers, New York, United States - New York
H. Q. Ngo, A. Ashikhmin, H. Yang, E. G. Larsson, and T. L. Marzetta, "Cell-free massive MIMO versus small cells, " IEEE Trans. Wireless Commun., vol. 16, no. 3, pp. 1834-1850, Mar. 2017.
H. Q. Ngo, L.-N. Tran, T. Q. Duong, M. Matthaiou, and E. G. Larsson, "On the total energy efficiency of cell-free massive MIMO, " IEEE Trans. Green Commun. Netw., vol. 2, no. 1, pp. 25-39, Mar. 2017.
W. Qingqing and Z. Rui, "Towards smart and reconfigurable environment: Intelligent reflecting surface aided wireless network, " IEEE Commun. Mag., vol. 58, no. 1, pp. 106-112, Jan. 2019.
P. Xu, G. Chen, Z. Yang, and M. D. Renzo, "Reconfigurable intelligent surfaces-Assisted communications with discrete phase shifts: How many quantization levels are required to achieve full diversity?" IEEE Wireless Commun. Lett., vol. 10, no. 2, pp. 358-362, Feb. 2021.
M. Di Renzo et al., "Reconfigurable intelligent surfaces vs. relaying: Differences, similarities, and performance comparison, " IEEE Open J. Commun. Society, vol. 1, pp. 798-807, 2020.
N. T. Nguyen, Q.-D. Vu, K. Lee, and M. Juntti, "Spectral efficiency optimization for hybrid relay-reflecting intelligent surface, " in Proc. IEEE Int. Conf. Commun. Workshops (ICC Workshops), Jun. 2021, pp. 1-6.
N. T. Nguyen, Q.-D. Vu, K. Lee, and M. Juntti, "Hybrid relay-reflecting intelligent surface-Assisted wireless communications, " IEEE Trans. Veh. Technol., vol. 71, no. 6, pp. 6228-6244, Jun. 2022.
N. T. Nguyen et al., "Hybrid relay-reflecting intelligent surface-Aided wireless communications: Opportunities, challenges, and future perspectives, " 2021, arXiv:2104.02039.
Q. Q. Wu and R. Zhang, "Beamforming optimization for wireless network aided by intelligent reflecting surface with discrete phase shifts, " IEEE Trans. Commun., vol. 68, no. 3, pp. 1838-1851, May 2020.
E. Basar, M. Di Renzo, J. De Rosny, M. Debbah, M. Alouini, and R. Zhang, "Wireless communications through reconfigurable intelligent surfaces, " IEEE Access, vol. 7, pp. 116753-116773, 2019.
C. Huang, A. Zappone, G. C. Alexandropoulos, M. Debbah, and C. Yuen, "Reconfigurable intelligent surfaces for energy efficiency in wireless communication, " IEEE Trans. Wireless Commun., vol. 18, no. 8, pp. 4157-4170, Aug. 2019.
J. He, H. Wymeersch, L. Kong, O. Silvén, and M. Juntti, "Large intelligent surface for positioning in millimeter wave MIMO systems, " in Proc. IEEE 91st Veh. Technol. Conf. (VTC-Spring), May 2020, pp. 1-5.
N. T. Nguyen, L. V. Nguyen, T. Huynh-The, D. H. N. Nguyen, A. L. Swindlehurst, and M. Juntti, "Machine learning-based reconfigurable intelligent surface-Aided MIMO systems, " in Proc. IEEE 22nd Int. Workshop Signal Process. Adv. Wireless Commun. (SPAWC), Sep. 2021, pp. 101-105.
A. Shojaeifard et al., "MIMO evolution beyond 5G through reconfigurable intelligent surfaces and fluid antenna systems, " Proc. IEEE, vol. 110, no. 9, pp. 1244-1265, Sep. 2022.
Y. Yang, B. Zheng, S. Zhang, and R. Zhang, "Intelligent reflecting surface meets OFDM: Protocol design and rate maximization, " IEEE Trans. Commun., vol. 68, no. 7, pp. 4522-4535, 2020.
Q. Wu and R. Zhang, "Intelligent reflecting surface enhanced wireless network via joint active and passive beamforming, " IEEE Trans. Wireless Commun., vol. 18, no. 11, pp. 5394-5409, Nov. 2019.
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. 14960-14973, Oct. 2020.
X. Yu, D. Xu, and R. Schober, "MISO wireless communication systems via intelligent reflecting surfaces, " in Proc. IEEE/CIC Int. Conf. Commun. China (ICCC), Aug. 2019, pp. 735-740.
Y. Yang, S. Zhang, and R. Zhang, "IRS-enhanced OFDM: Power allocation and passive array optimization, " in Proc. IEEE Global Commun. Conf. (GLOBECOM), Dec. 2019, pp. 1-6.
J. Yuan, Y. C. Liang, J. Joung, G. Feng, and E. G. Larsson, "Intelligent reflecting surface-Assisted cognitive radio system, " IEEE Trans. Commun., vol. 69, no. 1, pp. 675-687, Jan. 2021.
Y. Han, W. Tang, S. Jin, C. Wen, and X. Ma, "Large intelligent surfaceassisted wireless communication exploiting statistical CSI, " IEEE Trans. Veh. Technol., vol. 68, no. 8, pp. 8238-8242, Jun. 2019.
B. Di, H. Zhang, L. Li, L. Song, Y. Li, and Z. Han, "Practical hybrid beamforming with finite-resolution phase shifters for reconfigurable intelligent surface based multi-user communications, " IEEE Trans. Veh. Technol., vol. 69, no. 4, pp. 4565-4570, Apr. 2020.
S. Zhang and R. Zhang, "Capacity characterization for intelligent reflecting surface aided MIMO communication, " IEEE J. Sel. Areas Commun., vol. 38, no. 8, pp. 1823-1838, Aug. 2020.
K. Ying, Z. Gao, S. Lyu, Y. Wu, H. Wang, and M. Alouini, "GMDbased hybrid beamforming for large reconfigurable intelligent surface assisted millimeter-wave massive MIMO, " IEEE Access, vol. 8, pp. 19530-19539, 2020.
Y. Zhang, C. Zhong, Z. Zhang, and W. Lu, "Sum rate optimization for two way communications with intelligent reflecting surface, " IEEE Commun. Lett., vol. 24, no. 5, pp. 1090-1094, May 2020.
N. S. Perović, L. N. Tran, M. Di Renzo, and M. F. Flanagan, "Achievable rate optimization for MIMO systems with reconfigurable intelligent surfaces, " IEEE Trans. Wireless Commun., vol. 20, no. 6, pp. 3865-3882, Jun. 2021.
J. Xiong, L. You, Y. Huang, D. W. K. Ng, W. Wang, and X. Gao, "Reconfigurable intelligent surfaces assisted MIMO-MAC with partial CSI, " in Proc. IEEE Int. Conf. Commun. (ICC), Jun. 2020, pp. 1-6.
O. Ozdogan, E. Björnson, and E. G. Larsson, "Using intelligent reflecting surfaces for rank improvement in MIMO communications, " in Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), May 2020, pp. 9160-9164.
J. He, M. Leinonen, H. Wymeersch, and M. Juntti, "Channel estimation for RIS-Aided mmWave MIMO systems, " in Proc. IEEE Global Commun. Conf., Dec. 2020, pp. 1-6.
J. He, N. T. Nguyen, R. Schroeder, V. Tapio, J. Kokkoniemi, and M. Juntti, "Channel estimation and hybrid architectures for RIS-Assisted communications, " in Proc. Joint EuCNC 6G Summit, 2021, pp. 60-65.
L. You et al., "Reconfigurable intelligent surfaces-Assisted multiuser MIMO uplink transmission with partial CSI, " IEEE Trans. Wireless Commun., vol. 20, no. 9, pp. 5613-5627, Sep. 2021.
C. Hu, L. Dai, S. Han, and X. Wang, "Two-Timescale channel estimation for reconfigurable intelligent surface aided wireless communications, " IEEE Trans. Commun., vol. 69, no. 11, pp. 7736-7747, Nov. 2021.
G. C. Alexandropoulos and E. Vlachos, "A hardware architecture for reconfigurable intelligent surfaces with minimal active elements for explicit channel estimation, " in Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), May 2020, pp. 9175-9179.
J. He, H. Wymeersch, and M. Juntti, "Channel estimation for RIS-Aided mmWave MIMO systems via atomic norm minimization, " IEEE Trans. Wireless Commun., vol. 20, no. 9, pp. 5786-5797, Sep. 2021.
H. L. Zhang, B. Y. Di, L. Y. Song, and Z. Han, "Reconfigurable intelligent surfaces assisted communications with limited phase shifts: How many phase shifts are enough?" IEEE Trans. Veh. Technol., vol. 69, no. 4, pp. 4498-4502, Apr. 2020.
H. Guo, Y.-C. Liang, J. Chen, and E. G. Larsson, "Weighted sumrate maximization for intelligent reflecting surface enhanced wireless networks, " in Proc. IEEE Global Commun. Conf. (GLOBECOM), Dec. 2019, pp. 1-6.
J. Vidal Alegria and F. Rusek, "Achievable rate with correlated hardware impairments in large intelligent surfaces, " in Proc. IEEE 8th Int. Workshop Comput. Adv. Multi-Sensor Adapt. Process. (CAMSAP), Dec. 2019, pp. 559-563.
Y. Zhang, B. Di, H. Zhang, J. Lin, Y. Li, and L. Song, "Reconfigurable intelligent surface aided cell-free MIMO communications, " IEEE Wireless Commun. Lett., vol. 10, no. 4, pp. 775-779, Apr. 2020.
Y. Zhang et al., "Beyond cell-free MIMO: Energy efficient reconfigurable intelligent surface aided cell-free MIMO communications, " IEEE Trans. Cognit. Commun. Netw., vol. 7, no. 2, pp. 412-426, Jun. 2021.
S. Huang, Y. Ye, M. Xiao, H. V. Poor, and M. Skoglund, "Decentralized beamforming design for intelligent reflecting surface-enhanced cell-free networks, " IEEE Wireless Commun. Lett., vol. 10, no. 3, pp. 673-677, Mar. 2021.
T. Van Chien, H. Q. Ngo, S. Chatzinotas, M. Di Renzo, and B. Ottersten, "Reconfigurable intelligent surface-Assisted cell-free massive MIMO systems over spatially-correlated channels, " IEEE Trans. Wireless Commun., vol. 21, no. 7, pp. 5106-5128, Jul. 2022.
T. Zhou, K. Xu, X. Xia, W. Xie, and X. Yang, "Achievable rate maximization for aerial intelligent reflecting surface-Aided cell-free massive MIMO system, " in Proc. IEEE 6th Int. Conf. Comput. Commun. (ICCC), Dec. 2020, pp. 623-628.
E. Bjornson, O. Ozdogan, and E. G. Larsson, "Intelligent reflecting surface versus Decode-And-forward: How large surfaces are needed to beat relaying?" IEEE Wireless Commun. Lett., vol. 9, no. 2, pp. 244-248, Feb. 2020.
N. T. Nguyen, V.-D. Nguyen, Q. Wu, A. Tolli, S. Chatzinotas, and M. Juntti, "Hybrid active-passive reconfigurable intelligent surfaceassisted multi-user MISO systems, " in Proc. IEEE 23rd Int. Workshop Signal Process. Adv. Wireless Commun. (SPAWC), Jul. 2022, pp. 1-5.
K.-H. Ngo, N. T. Nguyen, T. Q. Dinh, T.-M. Hoang, and M. Juntti, "Low-latency and secure computation offloading assisted by hybrid relay-reflecting intelligent surface, " in Proc. Int. Conf. Adv. Technol. Commun. (ATC), Oct. 2021, pp. 306-311.
R. Long, Y.-C. Liang, Y. Pei, and E. G. Larsson, "Active reconfigurable intelligent surface aided wireless communications, " IEEE Trans. Wireless Commun., vol. 20, no. 8, pp. 4962-4975, Aug. 2021.
Z. Zhang et al., "Active RIS vs. passive RIS: Which will prevail in 6G?" 2021, arXiv:2103.15154.
M. H. Khoshafa, T. M. N. Ngatched, M. H. Ahmed, and A. R. Ndjiongue, "Active reconfigurable intelligent surfaces-Aided wireless communication system, " IEEE Commun. Lett., vol. 25, no. 11, pp. 3699-3703, Nov. 2021.
C. You and R. Zhang, "Wireless communication aided by intelligent reflecting surface: Active or passive?" IEEE Wireless Commun. Lett., vol. 10, no. 12, pp. 2659-2663, Dec. 2021.
K. Liu, Z. Zhang, L. Dai, S. Xu, and F. Yang, "Active reconfigurable intelligent surface: Fully-connected or sub-connected?" IEEE Commun. Lett., vol. 26, no. 1, pp. 167-171, Jan. 2022.
N. Landsberg and E. Socher, "A low-power 28-nm CMOS FD-SOI reflection amplifier for an active F-band reflectarray, " IEEE Trans. Microw. Theory Techn., vol. 65, no. 10, pp. 3910-3921, Oct. 2017.
A. Taha, M. Alrabeiah, and A. Alkhateeb, "Deep learning for large intelligent surfaces in millimeter wave and massive MIMO systems, " in Proc. IEEE Global Commun. Conf. (GLOBECOM), Dec. 2019, pp. 1-6.
W. Tang et al., "On channel reciprocity in reconfigurable intelligent surface assisted wireless networks, " IEEE Wireless Commun., vol. 28, no. 6, pp. 94-101, Dec. 2021.
S. Atapattu, T. A. Tsiftsis, R. Fan, P. Dharmawansa, G. Wang, and J. Evans, "Reconfigurable intelligent surface assisted two-way communications: Performance analysis and optimization, " IEEE Trans. Commun., vol. 68, no. 10, pp. 6552-6567, Oct. 2020.
O. Özdogan, E. Björnson, and J. Zhang, "Cell-free massive MIMO with Rician fading: Estimation schemes and spectral efficiency, " in Proc. 52nd Asilomar Conf. Signals, Syst., Comput., Oct. 2018, pp. 975-979.
O. Özdogan, E. Björnson, and J. Zhang, "Performance of cell-free massive MIMO with Rician fading and phase shifts, " IEEE Trans. Wireless Commun., vol. 18, no. 11, pp. 5299-5315, Nov. 2019.
Z. Wang, J. Zhang, E. Björnson, and B. Ai, "Uplink performance of cellfree massive MIMO over spatially correlated Rician fading channels, " IEEE Commun. Lett., vol. 25, no. 4, pp. 1348-1352, Apr. 2021.
R. Malik and M. Vu, "Optimal transmission using a self-sustained relay in a full-duplex MIMO system, " IEEE J. Sel. Areas Commun., vol. 37, no. 2, pp. 374-390, Feb. 2019.
D. Bharadia and S. Katti, "Full duplex MIMO radios, " in Proc. 11th USENIX Symp. Netw. Syst. Design Implement. (NSDI), 2014, pp. 359-372.
Q. Wu, S. Zhang, B. Zheng, C. You, and R. Zhang, "Intelligent reflecting surface aided wireless communications: A tutorial, " IEEE Trans. Commun., vol. 69, no. 5, pp. 3313-3351, Jan. 2021.
J. Zheng, J. Zhang, E. Björnson, and B. Ai, "Impact of channel aging on cell-free massive MIMO over spatially correlated channels, " IEEE Trans. Wireless Commun., vol. 20, no. 10, pp. 6451-6466, Oct. 2021.
M. Bashar et al., "Uplink spectral and energy efficiency of cellfree massive MIMO with optimal uniform quantization, " IEEE Trans. Commun., vol. 69, no. 1, pp. 223-245, Jan. 2021.
E. Björnson and L. Sanguinetti, "Making cell-free massive MIMO competitive with MMSE processing and centralized implementation, " IEEE Trans. Wireless Commun., vol. 19, no. 1, pp. 77-90, Jan. 2020.
A. H. Jafari, D. López-Pérez, M. Ding, and J. Zhang, "Study on scheduling techniques for ultra dense small cell networks, " in Proc. IEEE 82nd Veh. Technol. Conf. (VTC-Fall), Sep. 2015, pp. 1-6.
I. Rodriguez et al., "Path loss validation for urban micro cell scenarios at 3.5 GHz compared to 1.9 GHz, " in Proc. IEEE Global Commun. Conf. (GLOBECOM), Dec. 2013, pp. 3942-3947.
S. Jin, D. Yue, and H. H. Nguyen, "Spectral and energy efficiency in cell-free massive MIMO systems over correlated Rician fading, " IEEE Syst. J., vol. 15, no. 2, pp. 2822-2833, Jun. 2020.
Z. Wang, J. Zhang, B. Ai, C. Yuen, and M. Debbah, "Uplink performance of cell-free massive MIMO with multi-Antenna users over jointlycorrelated Rayleigh fading channels, " IEEE Trans. Wireless Commun., vol. 21, no. 9, pp. 7391-7406, Sep. 2022.
T. Van Chien and H. Q. Ngo, "Massive MIMO channels, " in Antennas and Propagation for 5G and Beyond. U.K.: Institution of Engineering and Technology, 2020, pp. 301-333.