Outage Performance Analysis of Multi-Antenna Full-Duplex NOMA Cellular Systems

Subject Areas : Electronics Engineering

Ahmad Memarinejad ¹ , Mohammadali Mohammadi ² , Mohammad Bagher Tavakoli ³

1 - Department of Electrical Engineering, Arak Branch, Islamic Azad University, Arak, Iran
2 - Faculty of Engineering, Shahrekord University, Shahrekord 115, Iran- Department of Electrical Engineering, Arak Branch, Islamic Azad University, Arak, Iran
3 - Department of Electrical Engineering, Arak Branch, Islamic Azad University, Arak, Iran

Received: 2022-05-09 Accepted : 2022-07-03 Published : 2022-07-03

Keywords: full-duplex (FD), Non-Orthogonal Multiple Access (NOMA), beamforming, Outage probability,

Abstract :

We consider a full-duplex (FD) cellular network, where uplink (UL) and downlink (DL) transmissions are performed at the same time over the same frequency band by using the non-orthogonal multiple-access (NOMA) technique. By leveraging the zero-forcing (ZF) beamforming at the FD multi-antenna base station, self-interference is mitigated, and the instantaneous sum rate of the system is maximized. More specifically, we propose two ZF-based beamforming designs at the base station, namely receive ZF (RZF) and transmit ZF (TZF) scheme, which respectively utilize the receive and transmit antennas at the BS to cancel out the SI at the BS. We derive closed-form expression for the outage probability of the NOMA near and far users as a function of different system parameters. Finally, we examine the accuracy of the results by using extensive simulation results. Our numerical results show that for both TZF and RZF scheme, increasing the number of transmit and receive antenna is beneficial to improve the outage performance of the DL near user, while increasing the number of transmit and receive antenna significantly improve the outage performance of the DL far user with RZF scheme.

References:

[1]    Z. Zhang, X. Chai, K. Long, A. V. Vasilakos and L. Hanzo, "Full duplex techniques for 5G networks: self-interference cancellation, protocol design, and relay selection," in IEEE Communications Magazine, vol. 53, no. 5, pp. 128-137, May 2015, doi: 10.1109/MCOM.2015.7105651.

[2]   Z. Ding, X. Lei, G. K. Karagiannidis, R. Schober, J. Yuan and V. K. Bhargava, "A Survey on Non-Orthogonal Multiple Access for 5G Networks: Research Challenges and Future Trends," in IEEE Journal on Selected Areas in Communications, vol. 35, no. 10, pp. 2181-2195, Oct. 2017, doi: 10.1109/JSAC.2017.2725519.

[3]   M. Mohammadi et al., "Full-Duplex Non-Orthogonal Multiple Access for Next Generation Wireless Systems," in IEEE Communications Magazine, vol. 57, no. 5, pp. 110-116, May 2019, doi: 10.1109/MCOM.2019.1800578.

 

[4]   A. Sabharwal, P. Schniter, D. Guo, D. W. Bliss, S. Rangarajan and R. Wichman, "In-Band Full-Duplex Wireless: Challenges and Opportunities," in IEEE Journal on Selected Areas in Communications, vol. 32, no. 9, pp. 1637-1652, Sept. 2014, doi: 10.1109/JSAC.2014.2330193.

 

[5]   M. Duarte, C. Dick and A. Sabharwal, "Experiment-Driven Characterization of Full-Duplex Wireless Systems," in IEEE Transactions on Wireless Communications, vol. 11, no. 12, pp. 4296-4307, December 2012, doi: 10.1109/TWC.2012.102612.111278.

 

[6]  J. Lee and T. Q. S. Quek, "Hybrid Full-/Half-Duplex System Analysis in Heterogeneous Wireless  Networks," in IEEE Transactions on Wireless Communications, vol. 14, no. 5, pp. 2883-2895, May 2015, doi: 10.1109/TWC.2015.2396066.

 

[7]   M. Mohammadi, B. K. Chalise, H. A. Suraweera, C. Zhong, G. Zheng and I. Krikidis, "Throughput Analysis and Optimization of Wireless-Powered Multiple Antenna Full-Duplex Relay Systems," in IEEE Transactions on Communications, vol. 64, no. 4, pp. 1769-1785, April 2016, doi: 10.1109/TCOMM.2016.2527785.

 

[8]    M. Amjad, F. Akhtar, M. H. Rehmani, M. Reisslein and T. Umer, "Full-Duplex Communication in     Cognitive Radio Networks: A Survey," in IEEE Communications Surveys & Tutorials, vol. 19, no. 4, pp. 2158-2191, Fourthquarter 2017, doi: 10.1109/COMST.2017.2718618.

   

[9]   S. Chinnadurai, P. Selvaprabhu, Y. Jeong, A.L. Sarker, H. Hai, W. Duan, et al. “User clustering and robust beamforming design in multicell MIMO-NOMA system for 5G communications,”  AEU-Int J Electron Commun, vol:78,pp. 181-191, 2017,doi:10.1016/j.aeue.2017.05.021.

 

[10]  Mobini Z. Secrecy performance of non-orthogonal multiple access cognitive untrusted relaying with friendly jamming. AEU-Int J Electron Commun ,vol:118,p. 153156 ,2020,doi:10.1016/j.aeue.2020.153156.

            

[11]   J. Zhu, J. Wang, Y. Huang, K. Navaie, Z. Ding and L. Yang, "On Optimal Beamforming Design for        Downlink MISO NOMA Systems," in IEEE Transactions on Vehicular Technology, vol. 69, no. 3, pp. 3008-3020, March 2020, doi: 10.1109/TVT.2020.2966629.

 

[12]  C. Zhong and Z. Zhang, "Non-Orthogonal Multiple Access With Cooperative Full-Duplex Relaying,"   in IEEE Communications Letters, vol. 20, no. 12, pp. 2478-2481, Dec. 2016, doi: 10.1109/LCOMM.2016.2611500.

 

[13]  A. Tregancini, E. E. B. Olivo, D. P. M. Osorio, C. H. M. de Lima and H. Alves, "Performance Analysis of  Full-Duplex Relay-Aided NOMA Systems Using Partial Relay Selection," in IEEE Transactions on Vehicular Technology, vol. 69, no. 1, pp. 622-635, Jan. 2020, doi: 10.1109/TVT.2019.2952526.

 

[14]  M. Mohammadi, B. K. Chalise, A. Hakimi, Z. Mobini, H. A. Suraweera and Z. Ding, "Beamforming Design and Power Allocation for Full-Duplex Non-Orthogonal Multiple Access Cognitive Relaying," in IEEE Transactions on Communications, vol. 66, no. 12, pp. 5952-5965, Dec. 2018, doi: 10.1109/TCOMM.2018.2858811.

 

 [15]  X. Wang, M. Jia, Q. Guo, I. W. Ho and F. C. Lau, "Full-Duplex Relaying Cognitive Radio Network With Cooperative Nonorthogonal Multiple Access," in IEEE Systems Journal, vol. 13, no. 4, pp. 3897-3908, Dec. 2019, doi: 10.1109/JSYST.2019.2927509.

        

[16]  H. V. Nguyen, V. Nguyen, O. A. Dobre, D. N. Nguyen, E. Dutkiewicz and O. Shin, "Joint Power Control and User Association for NOMA-Based Full-Duplex Systems," in IEEE Transactions on Communications, vol. 67, no. 11, pp. 8037-8055, Nov. 2019, doi: 10.1109/TCOMM.2019.2933217.

 

[17]  Y. Sun, D. W. K. Ng, Z. Ding and R. Schober, "Optimal Joint Power and Subcarrier Allocation for Full-Duplex Multicarrier Non-Orthogonal Multiple Access Systems," in IEEE Transactions on Communications, vol. 65, no. 3, pp. 1077-1091, March 2017, doi: 10.1109/TCOMM.2017.2650992.

 

[18]  Z. Mobini, M. Mohammadi, B. K. Chalise, H. A. Suraweera and Z. Ding, "Beamforming Design and Performance Analysis of Full-Duplex Cooperative NOMA Systems," in IEEE Transactions on Wireless Communications, vol. 18, no. 6, pp. 3295-3311, June 2019, doi: 10.1109/TWC.2019.2913425.

 

[19] Y. Liu, Z. Ding, M. Elkashlan and H. V. Poor, "Cooperative Non-orthogonal Multiple Access With Simultaneous Wireless Information and Power Transfer," in IEEE Journal on Selected Areas in Communications, vol. 34, no. 4, pp. 938-953, April 2016, doi: 10.1109/JSAC.2016.2549378.

 

[20]  Z. Wei, L. Yang, D. W. K. Ng, J. Yuan and L. Hanzo, "On the Performance Gain of NOMA Over OMA in Uplink Communication Systems," in IEEE Transactions on Communications, vol. 68, no. 1, pp. 536-568, Jan. 2020, doi: 10.1109/TCOMM.2019.2948343.

 

[21]  Z. Ding, P. Fan and H. V. Poor, "On the Coexistence Between Full-Duplex and NOMA," in IEEE Wireless Communications Letters, vol. 7, no. 5, pp. 692-695, Oct. 2018, doi: 10.1109/LWC.2018.2811492.

 

[22]  A. Memarinejad, M. Mohammadi, and M.B. Tavakoli. "Full-duplex NOMA cellular networks:

         Beamforming design and user scheduling," AEU-International Journal of Electronics and  Communications ,vol.126, p. 153415,2020, doi:10.1016/j.aeue.2020.153415.

 

[23]   Z. Ding, P. Fan and H. V. Poor, "Impact of User Pairing on 5G Nonorthogonal Multiple-Access Downlink Transmissions," in IEEE Transactions on Vehicular Technology, vol. 65, no. 8, pp. 6010-6023, Aug. 2016 , doi: 10.1109/TVT.2015.2480766..

 

[24]  K. S. Ali, M. Haenggi, H. ElSawy, A. Chaaban and M. Alouini, "Downlink Non-Orthogonal Multiple Access (NOMA) in Poisson Networks," in IEEE Transactions on Communications, vol. 67, no. 2, pp. 1613-1628, Feb. 2019, doi: 10.1109/TCOMM.2018.2877328.

 

[25]   G. C. Alexandropoulos, M. Kountouris and I. Atzeni, "User scheduling and optimal power allocation for full-duplex cellular networks,"  IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), 2016, pp. 1-6, doi: 10.1109/SPAWC.2016.7536726.

 

[26]   M. S. Ali, H. Tabassum and E. Hossain, "Dynamic User Clustering and Power Allocation for Uplink and Downlink Non-Orthogonal Multiple Access (NOMA) Systems," in IEEE Access, vol. 4, pp. 6325-6343,   2016, doi: 10.1109/ACCESS.2016.2604821.

 

[27] H. A. Suraweera, I. Krikidis, G. Zheng, C. Yuen and P. J. Smith, "Low-Complexity End-to-End Performance Optimization in MIMO Full-Duplex Relay Systems," in IEEE Transactions on Wireless Communications, vol. 13, no. 2, pp. 913-927, February 2014, doi: 10.1109/TWC.2013.122313.130608.

 

[28]   I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 7th ed. San Diego, CA, USA: Academic, 2007.