volume | PIER Journals

Abstract

Compared with widely used half-duplex relaying, the development of full-duplex (FD) relaying devices enables simultaneous transmission and reception, which can be desirable for spectrally efficient 6G Internet of Things (IoT) networks. To improve the reliability of FD relaying, MRT can be incorporated into an FD-DF relaying architecture, making the resulting scheme practical for diverse applications. In this study, critical performance metrics, such as the outage probability, symbol error rate and channel capacity were derived for the Nakagami-m fading channel model. Numerical examples obtained via Monte Carlo simulations corroborate the theoretical expressions and demonstrate that MRT can efficiently mitigate residual self-interference while preserving low receiver complexity. These findings provide useful insights for system designers to consider FD-DF relaying with MRT as a practical and effective solution for next-generation wireless ecosystems.

1. Yang, Nan and Akram Shafie, "Terahertz communications for massive connectivity and security in 6G and beyond era," IEEE Communications Magazine, Vol. 62, No. 2, 72-78, Feb. 2024.
doi:10.1109/mcom.001.2200421 Google Scholar

2. Adhikari, Bhagawat, Muhammad Jaseemuddin, and Alagan Anpalagan, "Resource allocation for co-existence of eMBB and URLLC services in 6G wireless networks: A survey," IEEE Access, Vol. 12, 552-581, 2024.
doi:10.1109/access.2023.3343250 Google Scholar

3. Khan, Nasir, Sinem Coleri, Asmaa Abdallah, Abdulkadir Celik, and Ahmed M. Eltawil, "Explainable and robust artificial intelligence for trustworthy resource management in 6G networks," IEEE Communications Magazine, Vol. 62, No. 4, 50-56, Apr. 2024.
doi:10.1109/mcom.001.2300172 Google Scholar

4. Chakrabarti, Arnab, Ashutosh Sabharwal, and Behnaam Aazhang, "Cooperative communications," Cooperation in Wireless Networks: Principles and Applications, 29-68, Springer, Dordrecht, 2006.
doi:10.1007/1-4020-4711-8_2

5. Sendonaris, A., E. Erkip, and B. Aazhang, "User cooperation diversity. Part II. Implementation aspects and performance analysis," IEEE Transactions on Communications, Vol. 51, No. 11, 1939-1948, Nov. 2003.
doi:10.1109/tcomm.2003.819238 Google Scholar

6. Laneman, J. N., D. N. C. Tse, and G. W. Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behavior," IEEE Transactions on Information Theory, Vol. 50, No. 12, 3062-3080, Dec. 2004.
doi:10.1109/tit.2004.838089 Google Scholar

7. Nosratinia, A., T. E. Hunter, and A. Hedayat, "Cooperative communication in wireless networks," IEEE Communications Magazine, Vol. 42, No. 10, 74-80, Oct. 2004.
doi:10.1109/mcom.2004.1341264 Google Scholar

8. Boujemâa, Hatem, "Static hybrid amplify and forward (AF) and decode and forward (DF) relaying for cooperative systems," Physical Communication, Vol. 4, No. 3, 196-205, 2011.
doi:10.1016/j.phycom.2011.05.001 Google Scholar

9. Stosic, Jovan and Zoran Hadzi-Velkov, "Performance analysis of dual-hop MIMO systems," International Conference on ICT Innovations, 123-132, Springer, Berlin, Heidelberg, 2010.
doi:10.1007/978-3-642-19325-5_13

10. Nokia Siemens Networks, "Cell edge performance for amplify-and-forward vs. decode-and-forward relays," 3GPP TDoc R1-090732, Athens, Greece, 2009.

11. Zhang, Zihan, Qiang Sun, Miguel López-Benítez, Xiaomin Chen, and Jiayi Zhang, "Performance analysis of dual-hop RF/FSO relaying systems with imperfect CSI," IEEE Transactions on Vehicular Technology, Vol. 71, No. 5, 4965-4976, May 2022.
doi:10.1109/tvt.2022.3149759 Google Scholar

12. Lou, Yi, Ruofan Sun, Julian Cheng, Donghu Nie, and Gang Qiao, "Secrecy outage analysis of two-hop decode-and-forward mixed RF/UWOC systems," IEEE Communications Letters, Vol. 26, No. 5, 989-993, May 2022.
doi:10.1109/lcomm.2021.3058988 Google Scholar

13. Alves, H., R. D. Souza, and G. Fraidenraich, "Outage, throughput and energy efficiency analysis of some half and full duplex cooperative relaying schemes," Transactions on Emerging Telecommunications Technologies, Vol. 25, No. 11, 1114-1125, Nov. 2014.
doi:10.1002/ett.2658 Google Scholar

14. Xiao, Zenghui, Jian Sun, and Xiao Sun, "Analysis of the number of activated links and mode selection for full-duplex/half-duplex D2D-aided underlaying cellular networks," IEICE Transactions on Communications, Vol. E108-B, No. 7, 761-767, Jul. 2025.
doi:10.23919/transcom.2024ebp3093 Google Scholar

15. Dang, Shuping, Gaojie Chen, and Justin P. Coon, "Outage performance analysis of full-duplex relay-assisted device-to-device systems in uplink cellular networks," IEEE Transactions on Vehicular Technology, Vol. 66, No. 5, 4506-4510, May 2017.
doi:10.1109/tvt.2016.2614018 Google Scholar

16. Chen, Zhengchuan, Tony Q. S. Quek, and Ying-Chang Liang, "Spectral efficiency and relay energy efficiency of full-duplex relay channel," IEEE Transactions on Wireless Communications, Vol. 16, No. 5, 3162-3175, May 2017.
doi:10.1109/twc.2017.2675886 Google Scholar

17. Salem, Abdelhamid, Kai-Kit Wong, Chan-Byoung Chae, and Yangyang Zhang, "STAR-RIS assisted full-duplex NOMA communication networks," IEEE Transactions on Wireless Communications, Vol. 24, No. 3, 2467-2482, Mar. 2025.
doi:10.1109/twc.2024.3521869 Google Scholar

18. Dinh, Cong Hung, Xuan Nghia Pham, Huyen Le Thi Thanh, Dinh Tan Tran, and Ba Cao Nguyen, "Transmit antenna selection for full-duplex relay millimeter-wave communications employing rate-splitting multiple access," International Journal of Communication Systems, Vol. 38, No. 3, e6113, 2025.
doi:10.1002/dac.6113 Google Scholar

19. Singh, Sandeep Kumar, Kamal Agrawal, Keshav Singh, Bruno Clerckx, and Chih-Peng Li, "RSMA for hybrid RIS-UAV-aided full-duplex communications with finite blocklength codes under imperfect SIC," IEEE Transactions on Wireless Communications, Vol. 22, No. 9, 5957-5975, Sep. 2023.
doi:10.1109/twc.2023.3238808 Google Scholar

20. Tani, Andrea, Dania Marabissi, and Romano Fantacci, "Efficient real-time whitening for blind eigenvalue-based detection in mmWave full duplex cognitive radio," IEEE Transactions on Wireless Communications, Vol. 22, No. 9, 6213-6226, Sep. 2023.
doi:10.1109/twc.2023.3240524 Google Scholar

21. Olivo, Edgar Eduardo Benitez, Diana Pamela Moya Osorio, Hirley Alves, José Cândido Silveira Santos Filho, and Matti Latva-Aho, "Cognitive full-duplex decode-and-forward relaying networks with usable direct link and transmit-power constraints," IEEE Access, Vol. 6, 24983-24995, 2018.
doi:10.1109/access.2018.2831664 Google Scholar

22. Kwon, Taehoon, Sungmook Lim, Sooyong Choi, and Daesik Hong, "Optimal duplex mode for DF relay in terms of the outage probability," IEEE Transactions on Vehicular Technology, Vol. 59, No. 7, 3628-3634, Sep. 2010.
doi:10.1109/tvt.2010.2050503 Google Scholar

23. Shim, Yeonggyu, Wonjae Shin, and Mojtaba Vaezi, "Relay power control for in-band full-duplex decode-and-forward relay networks over static and time-varying channels," IEEE Systems Journal, Vol. 16, No. 1, 33-40, Mar. 2022.
doi:10.1109/jsyst.2021.3128777 Google Scholar

24. Shao, Yanzhang, Lei Wang, and Yilei Xue, "Distributed alamouti protocol for full-duplex decode-and-forward relaying networks," IEEE Communications Letters, Vol. 26, No. 1, 182-186, Jan. 2022.
doi:10.1109/lcomm.2021.3121553 Google Scholar

25. LG‑Nortel, "Self interference considerations in relay node," 3GPP TDoc R1‑090565, 2009.

26. Rakhmania, Amalia Eka, Hudiono Hudiono, Umi Anis Ro’isatin, and Nurul Hidayati, "Channel estimation methods in massive MIMO: A comparative review of machine learning and traditional techniques," Infocommunications Journal, Vol. 17, No. 1, 19-31, Mar. 2025.
doi:10.36244/icj.2025.1.3 Google Scholar

27. Joann, D. and V. Rajamani, "Evaluating MIMO and massive MIMO performance with rayleigh, rician, and nakagami fading channels along with comparing half-duplex and full-duplex modes using HMR protocol," Innovation in MIMO Technologies, Systems, and Antennas, IntechOpen, Dec. 2024.
doi:10.5772/intechopen.1008175

28. Lo, T. K. Y., "Maximum ratio transmission," IEEE Transactions on Communications, Vol. 47, No. 10, 1458-1461, Oct. 1999.
doi:10.1109/26.795811 Google Scholar

29. Da Costa, D. B. and S. Aissa, "Dual-hop decode-and-forward relaying systems with relay selection and maximal-ratio schemes," Electronics Letters, Vol. 45, No. 9, 1-2, Apr. 2009.
doi:10.1049/el.2009.0597 Google Scholar

30. Erdogan, Eylem and Tansal Gucluoglu, "Dual-hop amplify-and-forward multi-relay maximum ratio transmission," Journal of Communications and Networks, Vol. 18, No. 1, 19-26, Feb. 2016.
doi:10.1109/jcn.2016.000005 Google Scholar

31. Chen, Xianzhe, Zhangjie Peng, Cunhua Pan, Hong Ren, and Li-Chun Wang, "Performance analysis and power allocation of multi-pair two-way massive MIMO full-duplex DF relaying systems under Rician fading channels," IEEE Transactions on Vehicular Technology, Vol. 72, No. 2, 1955-1971, Feb. 2023.
doi:10.1109/tvt.2022.3209896 Google Scholar

32. Tu, Ngo Hoang and Kyungchun Lee, "Performance analysis and optimization of multihop MIMO relay networks in short-packet communications," IEEE Transactions on Wireless Communications, Vol. 21, No. 6, 4549-4562, Jun. 2022.
doi:10.1109/twc.2021.3131205 Google Scholar

33. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th Ed., Academic Press, San Diego, CA, USA, 2007.

34. Wolfram Functions Site, "Gamma2 function identity," https://functions.wolfram.com/GammaBetaErf/Gamma2/26/02/01/0002/, 2025.

35. Adamchik, V. S. and O. I. Marichev, "The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system," ISSAC'90: Proceedings of the International Symposium on Symbolic and Algebraic Computation, 212-224, 1990.
doi:10.1145/96877.96930

36. Wolfram Functions Site, "Meijerg function identity," https://functions.wolfram.com/HypergeometricFunctions/MeijerG/21/02/02/0001/, 2025.

Dr. Awfa Aladwani

Dr. Tansal Gucluoglu