Analyzing the Performance of TAS/MRC with Decode-and-Forward Relaying for Multihop Transmission over Fisher-Snedecor F Fading Channels

  • Hubha Saikia Department of Electronics and Communication Engineering, North-Eastern Hill University, Shillong, Meghalaya, 793022, India
  • Rajkishur Mudoi Department of Electronics and Communication Engineering, North-Eastern Hill University, Shillong, Meghalaya, 793022, India https://orcid.org/0000-0003-3458-2419
Keywords: ASER, Decode and Forward, Fisher-Snedecor F fading, MRC, Multihop, RQAM, TAS, XQAM

Abstract

This study comprehensively assesses a decode-and-forward relaying system that employs Transmit Antenna Selection/Maximal Ratio Combining (TAS/MRC) for multi-hop communication across Fisher-Snedecor F fading channels. The study primarily focuses on the average symbol error rate (ASER) and outage probability (OP) while using cross QAM (XQAM) and rectangular quadrature amplitude modulation (RQAM). The proposed MIMO system effectively decreases the hardware complexity and cost of large antennas by implementing Transmit Antenna Selection (TAS) at the source and relay nodes and Maximum Ratio Combining (MRC) diversity at the destination and relays. Analytical formulations for OP (outage probability) and ASER (average symbol error rate) are derived using PDF (Probability Density Function)-based methods. Monte-Carlo simulations further validate these formulas. The investigation indicates that system performance is improved under conditions of lighter shadowing compared to moderate and extreme shadowing settings. Additionally, increasing the hop count amplifies the observed performance. Moreover, when the fading parameter increases, both the OP and ASER decrease. This study comprehensively examines the impact of many parameters, including m, p, L, R, and o, on the behaviour of the system under Fisher-Snedecor F fading. Based on the findings, the combination of shadowing and multipath fading significantly affects the system's performance, with both m and p significantly influencing this. When examining the Signal-to-Noise Ratio (SNR), a comparison between RQAM and XQAM demonstrates that XQAM is superior. The research uncovers crucial information for planning and executing the TAS/MRC-based MIMO multi-hop communication system. This technology possesses the capability to enhance the effectiveness of similar communication systems, as seen by the encouraging advancements in performance, especially in scenarios including signal attenuation.

Author Biography

Hubha Saikia, Department of Electronics and Communication Engineering, North-Eastern Hill University, Shillong, Meghalaya, 793022, India

Research Scholar,

Department of Electronics and Communication Engineering

References

Abramowitz, M., & Stegun, I. A. (1970). Handbook of Mathematical Functions, With, Graphs, and Mathematical Tables. Dover Publications, Inc., USA.

Agarwal, D. P., & Zeng, Q. A. (2011). Introduction to Wireless and Mobile Systems, 2nd edition, Hoboken, New Jersey, USA: Wiley.

Al-Hmood, H., & Al-Raweshidy, H. S. (2021). Selection combining scheme over non-identically distributed Fisher-Snedecor F fading channel. IEEE Wireless Communications Letters, 10(4), 840-843. https://doi.org/10.1109/LWC.2020.3046519

Badarneh, O. S., da Costa, D. B., Sofotasios, P. C., Muhaidat, S., & Cotton, S. L. (2018). On the sum of Fisher-Snedecor F variates and its application to maximal ratio combining. IEEE Wireless Communications Letters, 7(6), 966-969. https://doi.org/10.1109/LWC.2018.2836453

Banu, D. F., Pradeep, R., Hakeem, B., & Kayathri, T. L. (2022). Performance improvement in cooperative communication wireless network using QAM decode-and-forward protocol. 8th International Conference on Advanced Computing and Communication Systems (ICACCS), Coimbatore, 1996-2000. https://doi.org/10.1109/ICACCS54159.2022.9784994

Bao, V. N. Q., & Kong, H. Y. (2010). Performance analysis of decode and forward relaying with partial relay selection for multi-hop transmission over Rayleigh fading channels. Journal of Communications and Networks, 12(5), 433-441. https://doi.org/10.1109/JCN.2010.6388488

Beaulieu, N. C. (2006). A useful integral for wireless communication theory and its application to rectangular signalling constellation error rates. IEEE Transactions on Communications, 54(5), 802–805. https://doi.org/10.1109/TCOMM.2006.874003

Chiani, M., Dardari, D., & Simon, M. K. (2003). New exponential bounds and approximations for the computation of error probability in fading channels. IEEE Transactions on Wireless Communication, 2(4), 840-845. https://doi.org/10.1109/TWC.2003.814350

Clarke, P., & De Lamare, R. C. (2012). Time diversity and relay selection algorithms for multi-relay cooperative MIMO systems. IEEE Transactions on Vehicular Technology, 61(3), 1084-1098. https://doi.org/10.1109/TVT.2012.2186619

Dixit, D., & Sahu, P. R. (2013). Performance of QAM signalling over TWDP fading channels. IEEE Transactions on Wireless Communication, 12(4), 1794-1799. https://doi.org/10.1109/TWC.2013.030413.120772

Dixit, D., & Sahu, P. R. (2018). Performance of multihop detect-and-forward relaying system over fluctuating two-ray fading channel. Transactions on Emerging Telecommunications Technologies, 29(8). https://doi.org/10.1002/ett.3423

Foschini, G. J., & Gans, M. J. (1998). On the limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications, 6(3), 311-335. https://doi.org/10.1023/A:1008889222784

Gradshteyn, I. S., & Ryzhik, I. M. (2000). Table of integrals, Series and Products. 6th edition, San Diego, CA: Academics.

Ikki, S. S., & Ahmed, M. H. (2010). On the performance of cooperative diversity network with Nth best-relay selection scheme. IEEE Transaction Communications, 58(11), 3062-3069. https://doi.org/10.1109/TCOMM.2010.092810.090322

Ikki, S. S., & Aissa, S. (2012). Multihop wireless relaying system in presence of cochannel interferences: Performance analysis and design optimization. IEEE Transactions on Vehicular Technology, 61(2), 566-573. https://doi.org/10.1109/TVT.2011.2179818

Kumbhani, B., & Kshetrimayum, R. S. (2016). Performance analysis of MIMO systems with antenna selection over Generalized κ-μ fading channels. IETE Journal of Research, 62(1), 45-54. https://doi.org/10.1080/03772063.2015.1082444

Laneman, J. N., Tse, D. N., & Wornell, G. W. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behaviour. IEEE Transactions on Information Theory, 50(12), 3062-3080. https://doi.org/10.1109/TIT.2004.838089

Molisch, A. F., & Win, Z. M. (2004). MIMO systems with antenna selection. IEEE Microwave Magazine, 5(1), 46-56. https://doi.org/10.1109/MMW.2004.1284943

Nosratinia, A., Hunter, T.E., & Hedayat, A. (2004). Cooperative communication in wireless network. IEEE Communications Magazine, 42(10), 74-80. https://doi.org/10.1109/MCOM.2004.1341264

Oyman, O., Laneman, J. N., & Sandhu, S. (2007). Multi-hop relaying for broadband wireless mesh networks: From theory to practice. IEEE Communication Magazine, 42(11), 116-122. https://doi.org/10.1109/MCOM.2007.4378330

Pabst, R., Walke, B. H., Schultz, D. C., Herhold, P., Yanikomeroglu, H., Mukherjee, S., Viswanatham, H., Lott, M., Zirwas, W., Dohler, M., Aghvami, H., Falconer, D. D., & Fettweis, G. P. (2004). Relay-based deployment concepts for wireless and mobile broadband radio. IEEE Communication Magazine, 42(9), 80-89.

https://doi.org/10.1109/MCOM.2004.1336724

Rappaport, T. S. (2011). Wireless Communication, 2nd edition, Chennai, India: Pearson.

Proakis, J. G. (2001). Digital Communications, 4th edition, New York, NY, USA: McGraw Hill.

Sanayei, S., & Nosratinia, N. (2004). Antenna selection in MIMO systems. IEEE Communication Magazine, 42(10), 68-73. https://doi.org/10.1109/MCOM.2004.1341263

Sendonaris, A., Erkip, E., & Aazhang, B. (2003). User cooperation diversity - part I. System description. IEEE Transactions on Communications, 51(11), 1927-1938. https://doi.org/10.1109/TCOMM.2003.818096

Shaik, P., Singya, P. K., & Bhatia, V. (2019). On impact of imperfect CSI over Hexagonal QAM for TAS/MRC MIMO cooperative relay network. IEEE Communication Letters, 23(10), 1721-1724. https://doi.org/10.1109/LCOMM.2019.2931433

Simon, M. K., & Alouini, M. S. (2005). Digital communication over fading channels, 2nd edition, John Wiley & Sons.

Singya, P. K., Kumar, N., Bhatia, V., & Khan, F. A. (2018). Performance analysis of OFDM based 3-hop AF relaying network over mixed Rician/Rayleigh fading channels. AEU- International Journal of Electronics and Communication, 93, 337-347. https://doi.org/10.1016/j.aeue.2018.06.026

Smith, J. G. (1975). Odd-bit quadrature amplitude-shift keying. IEEE Transaction Communication, 23(3), 385-389. https://doi.org/10.1109/TCOM.1975.1092806

Stuber, G. L. (2003). Principles of Mobile Communication, 2nd edition, Norwell, MA, USA: Kluwer.

Yoo, S. K., Cotton, S. L., Sofotasios, P. C., Matthaiou, M., Valkama, M. & Karagiannidis, G. K. (2017). The Fisher-Snedecor F distribution: A simple and accurate composite fading model. IEEE Communication Letters, 21(7), 1661-1664. https://doi.org/10.1109/LCOMM.2017.2687438

Yu, H., Wei, G., Ji, F., & Zhang, X. (2011). On the error probability of cross-QAM with MRC reception over generalized η-μ fading channels. IEEE Transactions on Vehicular Technology, 60(6), 2631-2643. https://doi.org/10.1109/TVT.2011.2154347

Zhang, X.-C., Yu, H., & Wei, G. (2010). Exact symbol error probability of cross-QAM in AWGN and fading channels. EURASIP Journal on Wireless Communications and Networking, 2010, 1–9. https://doi.org/10.1155/2010/917954

Published
2023-12-30
How to Cite
Saikia, H., & Mudoi, R. (2023). Analyzing the Performance of TAS/MRC with Decode-and-Forward Relaying for Multihop Transmission over Fisher-Snedecor F Fading Channels. International Journal of Experimental Research and Review, 36, 116-126. https://doi.org/10.52756/ijerr.2023.v36.011
Section
Articles