Performance Analysis of MIMO Full-Duplex NOMA Networks with Max-Min Relay Selection for Short-Packet Communications

Do Phuong Nhung, Nguyen Van Son, Pham Thanh Hiep, Hai-Nam Le

Abstract


This paper investigates the performance of a multiple-input multiple-output (MIMO) non-orthogonal multiple access (NOMA) network, enhanced by a pool of full-duplex (FD) relays, for short-packet communications (SPC). We propose a combined framework where the source and destinations are equipped with multiple antennas, and a max-min relay selection criterion is employed to choose the best relay among multiple candidates. This criterion maximizes the end-to-end link quality by selecting the relay that offers the best bottleneck signal-to-interference-plus-noise ratio (SINR). We derive novel, exact analytical expressions for the average block error rate (BLER) for two NOMA users, meticulously accounting for the joint effects of MIMO diversity, relay selection diversity, residual self-interference (RSI) at the FD relay, and imperfect successive interference cancellation (SIC). To facilitate computation, we also provide a highly accurate closed-form approximation of the BLER using Gauss-Chebyshev quadrature. The analysis reveals that the max-min selection strategy effectively overcomes the performance bottleneck of simpler selection schemes, ensuring that the system's diversity order scales with the number of available relays. Numerical results validate our rigorous theoretical analysis, demonstrating the significant reliability gains achieved by the proposed framework. The findings offer crucial insights into the interplay between key system parameters, providing a comprehensive guide for designing robust ultra-reliable low-latency communication (URLLC) systems.

Full Text:

PDF

References


P. Popovski, K. F. Trillingsgaard, O. Simeone, and G. Durisi, “5G wireless network slicing for eMBB, URLLC, and mMTC: A communication-theoretic view,” IEEE Access, vol. 6, pp. 55765–55779, 2018.

C. She, C. Yang, and T. Q. S. Quek, “Radio resource management for ultra-reliable and low-latency communications,” IEEE Commun. Mag., vol. 55, no. 6, pp. 72–78, Jun. 2017.

Y. Polyanskiy, H. V. Poor, and S. Verdú, “Channel coding rate in the finite blocklength regime,” IEEE Trans. Inf. Theory, vol. 56, no. 5, pp. 2307–2359, May 2010.

G. Durisi, T. Koch, and P. Popovski, “Toward massive, ultrareliable, and low-latency wireless communication with short packets,” Proc. IEEE, vol. 104, no. 9, pp. 1711– 1726, Sep. 2016.

Z. Ding, Y. Liu, J. Choi, Q. Sun, M. Elkashlan, C.-L. I, and H. V. Poor, “Application of non-orthogonal multipleaccess in LTE and 5G networks,” IEEE Commun. Mag., vol. 55, no. 2, pp. 185–191, Feb. 2017.

Z. Yang, Z. Ding, P. Fan, and N. Al-Dhahir, “A general power allocation scheme to guarantee quality of service in downlink and uplink NOMA systems,” IEEE Trans. Wireless Commun., vol. 15, no. 11, pp. 7244–7257, Nov.2016.

D.-D. Tran, S. K. Sharma, S. Chatzinotas, I. Woungang, and B. Ottersten, “Short-packet communications for MIMO NOMA systems over Nakagami-m fading: BLER and minimum blocklength analysis,” IEEE Trans. Veh. Technol., vol. 70, no. 4, pp. 3583–3598, Apr. 2021.

L. Sun, Y. Li, Z. Ding, and R. Q. Hu, “Joint beamforming and power allocation in downlink NOMA multiuser MIMO systems,” IEEE Trans. Commun., vol. 66, no. 11, pp. 5345–5358, Nov. 2018.

T. Riihonen, S. Werner, and R. Wichman, “Mitigation of loopback self-interference in full-duplex MIMO relays,” IEEE Trans. Signal Process., vol. 59, no. 12, pp. 5983–5993, Dec. 2011.

Z. Zhang, X. Chai, K. Long, A. V. Vasilakos, and L.Hanzo, “Full duplex techniques for 5G networks: self-interference cancellation, protocol design, and resourceallocation,” IEEE Commun. Mag., vol. 53, no. 5, pp. 128–137, May 2015.

M. Zeng, O. A. Dobre, and H. V. Poor, “Full-duplex relaying for physical layer security,” IEEE Commun. Mag., vol. 55, no. 5, pp. 72–78, May 2017.

Y. Gu, H. Chen, Y. Li, and B. Vucetic, “Ultra-reliable short-packet communications: Half-duplex or

full-duplex relaying?” IEEE Wireless Commun. Lett., vol.7, no. 3, pp. 348–351, Jun. 2018.

P. T. T. Huyen, B. Q. Bao, and N. T. Phuong, “Full-duplex relay non-orthogonal multiple access networks with short-packet communication: Block error rate and average achievable rate analysis,” Digital Signal Processing, vol. 159, p. 104968, 2025.

J. N. Laneman, D. N. C. Tse, and G. W. Wornell, “Cooperative diversity in wireless networks: Efficient protocols and outage behavior,” IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3062–3080, Dec. 2004.

Y. Liu, Z. Ding, M. Elkashlan, and H. V. Poor, “Cooperative non-orthogonal multiple access with simultaneous wireless information and power transfer,” IEEE J. Sel. Areas Commun., vol. 34, no. 4, pp. 938–953, Apr. 2016.

A. Bletsas, A. Khisti, D. P. Reed, and A. Lippman, “A simple cooperative diversity method based on network path selection,” IEEE J. Sel. Areas Commun., vol. 24, no. 3, pp. 659–672, Mar. 2006.

I. Krikidis, J. Thompson, and S. McLaughlin, “Max-min relay selection for legacy amplify-and-forward systems,” IEEE Commun. Lett., vol. 13, no. 4, pp. 235–237, Apr. 2009.

R. Adve and T. C. Y. Wang, “Max-min relay selection in a network with amplify-and-forward relays,” in Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), vol. 3,2007, pp. III-625.

Z. Chen, Z. Chi, Y. Li, and B. Vucetic, “Error performance of maximal-ratio combining with transmit antenna selection in flat Nakagami-m fading channels,” IEEE Trans. Wireless Commun., vol. 8, no. 1, pp. 424–431, Jan. 2009.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1964.

Y. Yu, H. Chen, Y. Li, Z. Ding, and B. Vucetic, “On theperformance of non-orthogonal multiple access in short-packet communications,” IEEE Commun. Lett., vol. 22, no.3, pp. 590–593, Mar. 2018.

X. Lai, T. Wu, Q. Zhang, and J. Qin, “Average secure BLER analysis of NOMA downlink short-packet communication systems in flat Rayleigh fading channels,” IEEE Trans. Wireless Commun., vol. 20, no. 5, pp. 2948–2960, May 2021.

Z. Ding, M. Peng, and H. V. Poor, “Cooperative non-orthogonal multiple access in 5G systems,” IEEE Commun. Lett., vol. 19, no. 8, pp. 1462–1465, Aug. 2015.

X. Yue, Y. Liu, S. Kang, A. Nallanathan, and Z. Ding, “Relay selection and performance analysis in cooperative NOMA,” IEEE Trans. Commun., vol. 66, no. 8, pp. 3274–3288, Aug. 2018.

Y. Chen, Z. Ding, D. B. da Costa, and H. V. Poor, “On the performance of cooperative NOMA with an amplify-and-forward relay,” in Proc. IEEE Int. Conf. Commun. (ICC), Paris, France, May 2017, pp. 1–6.

G. Zheng, I. Krikidis, and B. Ottersten, “Improving fairness and energy efficiency in full-duplex multiuser systems,” IEEE Signal Process. Lett., vol. 22, no. 11, pp.2040–2044, Nov. 2015.

Y. Cai, Z. Qin, F. Cui, G. Y. Li, and J. A. McCann, “Outage analysis and power allocation for NOMA with an AF relay,” IEEE Commun. Lett., vol. 21, no. 5, pp. 1147–1150, May 2017.

B. Makki, T. Svensson, and M.-S. Alouini, “End-to-end performance analysis of delay-sensitive multi-relay networks,” IEEE Commun. Lett., vol. 23, no. 12, pp. 2159–2163, Dec. 2019.

S. S. Kalamkar and A. Banerjee, “Outage analysis of cooperative NOMA with an amplify-and-forward relay,” IEEE Commun. Lett., vol. 20, no. 10, pp. 1979–1982, Oct. 2016.

Q. Wu, G. Chen, and J. Wang, “User scheduling for cooperative NOMA systems with an amplify-and-forward relay,” IEEE Access, vol. 6, pp. 24866–24874, 2018.

H. A. Suraweera, I. Krikidis, G. Zheng, C. Yuen, and P. J. Smith, “Low-complexity end-to-end performance analysis of MIMO full-duplex relay systems,” IEEE Trans. Wireless Commun., vol. 13, no. 2, pp. 913–927, Feb. 2014.

D.-T. Do and A.-T. Pham, “Performance analysis of cooperative NOMA with relay selection,” in Proc. Int. Conf. Adv. Technol. Commun. (ATC), Ho Chi Minh City, Vietnam, Oct. 2018, pp. 104–109.

J. Choi, “Relay selection for cooperative NOMA,” IEEE Commun. Lett., vol. 20, no. 10, pp. 2058–2061, Oct. 2016.

Z. Zhang, Z. Ma, M. Xiao, Z. Ding, and P. Fan, “Fundamental limits of NOMA for the fading broadcast channel,” IEEE J. Sel. Areas Commun., vol. 35, no. 12, pp. 2753–2766, Dec. 2017.




DOI: http://dx.doi.org/10.21553/rev-jec.412

Copyright (c) 2025 REV Journal on Electronics and Communications

ISSN: 1859-378X

Copyright © 2011-2025
Radio and Electronics Association of Vietnam
All rights reserved