Abstract This paper deals with the performance of Half Duplex (HD) and Full Duplex (FD) in different fading channels via relay networks. A new Heterogeneous Multiplex Relay (HMR) protocol is proposed for the achievement of spectrum efficiency over Multiple Input and Multiple Output (MIMO) using HD and FD. The Key idea of the protocol the relay selection among half duplex and full duplex for overcoming fading which achieves diversity and multiplexing gain. The protocol is projected in Massive MIMO with Opportunistic Relay Selection which requires limited feedback/signaling for relay and operation mode selection. The max-min criteria help in finding the best channel which leads to the best relay selection. Consideration of the Coded Cooperation and Successive Interference Cancellation helps recovery of the loss of Multiplexing Gain. Simulation result shows the throughput performance of Heterogeneous Multiplex Relay (HMR) protocol compared to HD and FD. HMR protocol provides 80% capacity performance due to its allotted channels between HD and FD. It also shows the performance of Bit Error Rate (BER) vs Signal to Noise Ratio (SNR) values compared to Rayleigh, Rician, and Nakagami Fading Channels.

References

[1] Afifi W., Mohammad J., Rahman A., Krunz M., and MacKenzie A., “Full-duplex or Half-0246810121416182010-8 10-6 10-4 10-2 100 SNR(dB) BER Comparison of Rician Fading Channel of Existing and Proposed Protocol AF Protocol DF Protocol HMR Protocol 0510152025303510-8 10-6 10-4 10-2 100 SNR(dB) BER Comparison of Nakagami Fading Channel of Existing and Proposed Protocols AF Protocol DF Protocol HMR Protocol 0510152025303510-8 10-6 10-4 10-2 100 Eb/N0 (dB) BER BER vs Eb/N0 (dB) Performance Comparison of Rayleigh, Rician and Nakagami Channel Rician Channel Nakagami Channel Rayleigh Channel Half-Duplex and Full-Duplex Performance Comparison for Different Fading ... 379 Duplex: A Bayesian Game for Wireless Networks with Heterogeneous Self- interference Cancellation Capabilities,” IEEE Transactions on Mobile Computing, vol. 17, no. 5, pp. 1076-1089, 2018.

[2] Akif F., Malik A., Qureshi I., and Abassi A., “Transmit and Receive Antenna Selection Based Resource Allocation for Self-Backhaul 5G Massive MIMO HetNets” The International Arab Journal of Information Technology, vol. 18, no. 6, pp.755-766, 2021.

[3] Chae S. and Lee K., “Cooperative Relaying for Multi-User MIMO Wireless Backhaul Networks,” IEEE Transactions on Vehicular Technology, vol. 70, no. 3, pp. 2794-2806, 2021.

[4] Chen H. and Zhao F., “A Hybrid Half- Duplex/Full-Duplex Transmission Scheme in Relay-Aided Cellular Networks,” EURASIP Journal on Wireless Communications and Networking, vol. 1, pp.1-10, 2017.

[5] Fang Z., Ni W., Liang F., Shao P., and Wu Y., “Massive MIMO for Full-Duplex Cellular Two-Way Relay Network: A Spectral Efficiency Study,” IEEE ACCESS, vol. 5, pp. 23288-23298, 2017.

[6] Gharan S., Bayesteh A., and Khandani A., “Diversity-Multiplexing Tradeoff in Multi- Antenna Multi-Relay Networks: Improvements and Some Optimality Results,” IEEE Transactions on Information Theory, vol. 59, no. 6, pp. 3892-3914, 2013.

[7] Hong B. and Choi W., “Overcoming Half- Duplex Loss in Multi-Relay Networks: Multiple Relay Coded Cooperation for Optimal DMT,” in IEEE Transactions on Communications, vol. 63, no. 1, pp. 66-78, 2015.

[8] Hong S., Brand J., Choi J., Jain M., Mehlman J., Katti S., and Levis P., “Applications of Self- Interference Cancellation in 5G and Beyond,” IEEE Communication Magazine, vol. 52, no. 2, pp. 114-121, 2014.

[9] Hellings C., Gest P., Wiegart T., and Utschick W., Maximizing the Partial Decode-and- Forward Rate in the Gaussian MIMO Relay Channel, IEEE Transactions on Signal Processing, vol. 69, pp. 1548-1562.

[10] Hu R., Hu C., Jiang J., Xie X., and Song L., “Full-Duplex Mode in Amplify-and-Forward Relay Channels: Outage Probability and Ergodic Capacity,” International Journal of Antennas and Propagation, pp.1-8, 2014.

[11] Jia X., Deng P., Yang L., and Zhu H., “Spectrum and Energy Efficiencies for Multiuser Pairs Massive MIMO Systems with Full-Duplex Amplify-and-Forward Relay,” IEEE Access, vol. 3, pp. 1907-1918, 2015.

[12] Ju H., Oh E., and Hong D., “Improving Efficiency of Resource Usage in Two-Hop Full Duplex Relay Systems Based on Resource Sharing and Interference Cancellation,” IEEE Transactions on Wireless Communications, vol. 8, no. 8, pp. 3933-3938, 2009.

[13] Karmakar S. and Varanasim M., “The Diversity-Multiplexing Tradeoff of The MIMO Half-Duplex Relay Channel,” IEEE Transactions on Information Theory, vol. 58, no. 12, pp. 7168-7187, 2012.

[14] Kontik M. and Ergen S., “Scheduling in Successive Interference Cancellation Based Wireless Ad Hoc Networks,” in IEEE Communications Letters, vol. 19, no. 9, pp. 1524-1527, 2015.

[15] Lee B., Lee N., Ha N., and Shin W., “On the Degrees-of-Freedom for Relay-Aided MIMO Interference Channels With Partial and Delayed CSI,” in IEEE Wireless Communications Letters, vol. 10, no. 2, pp. 306-310, 2021.

[16] Lee J. and Quek T., “Hybrid Full-/Half-Duplex System Analysis in Heterogeneous Wireless Networks,” IEEE Transactions on Wireless Communications, vol. 14, no. 5, pp. 2883- 2895, 2015.

[17] Li C., Wang Y., Xiang W., and Yang D., “Outage Probability Analysis of Coded Cooperation with Multiple Relays,” in Proceedings of IEEE Vehicular Technology Conference, San Francisco, pp.1-5, 2011.

[18] Li Y., Wang T., Zhao Z., Peng M., Wang W., “Relay Mode Selection And Power Allocation for Hybrid One-Way/Two-Way Half- Duplex/Full-Duplex Relaying,” IEEE Communications Letters, vol. 19, no. 7, pp. 1217-1220, 2015.

[19] Loa K., Wu C., and Sheu S., Yuan Y., Chion M., Huo D., Xu L., “IMT-advanced Relay Standards

[WiMAX/LTE update],” IEEE Communications Magazine, vol. 48, no. 8, pp. 40-48, 2010.

[20] Luo C., Gong Y., and Zheng F., “Full Interference Cancellation for Two-Path Relay Cooperative Networks,” IEEE Transactions on Vehicular Technology, vol. 60, no.1, pp. 343- 347, 2011.

[21] Lv Y., He Z., and Rong Y., “Two-Way AF MIMO Multi-Relay System Design Using MMSE-DFE Techniques,” IEEE Transactions on Wireless Communications, vol. 20, no. 1, pp. 389-405, 2021.

[22] Nordio A. and Chiasserini C., “MIMO Full- Duplex Networks with Limited Knowledge of the Relay State,” IEEE Transactions on Wireless Communications, vol. 20, no. 4, pp. 2516-2529, 2021. 380 The International Arab Journal of Information Technology, Vol. 19, No. 3, May 2022

[23] Rankov B. and Wittneben A., “Spectral Efficient Protocols for Half-Duplex Fading Relay Channels,” IEEE Journal on Selected Areas in Communications, vol. 25, no. 2, pp. 379-389, 2007.

[24] Riihonen T., Werner S., and Wichman R., “Mitigation of Loopback Self-Interference in Full-Duplex MIMO Relays,” IEEE Transactions on Signal Processing, vol. 59, no.12, pp. 5983-5993, 2011.

[25] Shen H., He Z., Xu W., Gong S., and Zhao C., “Is Full-Duplex Relaying More Energy Efficient Than Half-Duplex Relaying?,” IEEE Wireless Communications Letters, vol. 8, no. 3, pp. 841-844, 2019.

[26] Singh Y. and Chopra M., “Analysis of Rayleigh, Rician, and Nakagami-m Fading Channel using Matlab Simulation,” International Journal of Engineering Technology and Computer Research (IJETCR), vol. 3, no. 4, pp. 105-109, 2015.

[27] Vaezi M., Inaltekin H., Shin W., Vincent P., and Zhang J., “Social-Aware User Cooperation in Full-Duplex and Half- Duplex Multi- Antenna Systems,” IEEE Transactions on Communications, vol. 66, no.8, pp. 3309- 3321, 2018.

[28] Wang D., Wang M., Zhu P., Li J., Wang J., and You X., “Performance of Network-Assisted Full-Duplex for Cell-Free Massive MIMO,” IEEE Transactions on Communications, vol. 68, no. 3, pp. 1464-1478,2020.

[29] Yun J., “Intra and Inter-Cell Resource Management in Full-Duplex Heterogeneous Cellular Networks,” IEEE Transaction on Mobile Computing, vol. 15, no. 2, pp. 392-405, 2016.

[30] Zhang Z., Chai X., Long K., Vasilakos A., and Hanzo L., “Full-Duplex Techniques for 5G Networks: Self-Interference Cancellation, Protocol Design, and Relay Selection,” IEEE Communications Magazine, vol. 53, no. 5, pp. 128-137, 2015. Daphney Joann received B.E in Computer Science and Engineering from C.S.I Institute of Engineering and Technology, Anna University, Tamilnadu in the year April 2006. Post graduate degree in M.E Computer Science and Engineering from Adhiyamaan College of Engineering, Anna University, Tamilnadu in the year June 2008. She started her carrier in the year 2008 as Lecturer, Currently working as an Assistant Professor in the Department of CSE in Global Institute of Engineering and Technology, Vellore- TamilNadu. She is currently pursuing her Ph.D. in Anna University. Her research interests are in the areas of Web Technology, Wireless Networks and Network Security. She is the life member of ISTE, New Delhi, India and member in IAENG. Vayanaperumal Rajamani received B.E in Electronics and Communication Engineering from national Engineering College, Madurai Kamaraj University, Madurai, Tamilnadu, India, in the year 1990, Post graduate degree in M.E. Applied Electronics from Govt. College of Technology, Bharathiyar University, Coimbatore, Tamilnadu, India in the year 1995 and Ph.D. degree from the Institute of Technology, Banaras Hindu University (now IIT- BHU), Varanasi, Uttar Pradesh, India in 1999 with a specialization in semiconductor device modeling for optical Communication receivers. He started his academic carrier in the year 1991 as Lecturer. Currently, he is working as a Principal and professor in the department of Electronics and Communication Engineering in the Veltech Multitech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi, Chennai, Tamilnadu, India. He has published more than 150 papers in the referred national and international journals and conference proceedings. He is the life member of ISTE, New Delhi, India and member in IAENG.