Authors:
Niku Borgohain,Bhargabjyoti Saikia,H. P. Mondal,DOI NO:
https://doi.org/10.26782/jmcms.2026.07.00010Keywords:
Energy Harvesting,SWIPT,ABER,Outage Probability,TWDP Fading,MRC Receiver,Imperfect Channel Estimation.,Abstract
This work studies the performance of an M-branch Maximum Ratio Combining (M-MRC) diversity receiver system with RFEH (Radio Frequency Energy Harvesting Approach) under Imperfect Channel Estimation, considering the Two-Wave Diffuse Power (TWDP) fading distribution. Two key performance metrics, Average Bit Error Rate (ABER) and Outage Probability (OP), are used to evaluate the effects of Energy Harvesting (EH) and Imperfect Channel Estimation (ICE) on system performance across various modulation schemes. Power Splitting (PS) factor (β) is incorporated to derive the probability density function (PDF) of the received signal within the Simultaneous Wireless Information and Power Transfer (SWIPT) framework. Monte Carlo simulations validate the analytical expressions for ABER and OP derived from the considered PDF, highlighting the impact of EH and ICE on system performance and offering insights for optimizing wireless communication systems in fading environments. These results offer key strategies for building energy-efficient, robust wireless networks by optimizing the diversity receiver to handle harsh fading conditions.Refference:
I. Aalo, V.A., 1995. Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment. IEEE Transactions on Communications, 43(8), pp. 2360–2369. 10.1109/26.403769.
II. Adeli, M.H., Abbasi-Moghadam, D., Fotouhi, H. & Razavizadeh, S.M., 2025. Optimizing Energy Efficiency in UPA-Assisted SWIPT Massive MIMO Systems Over Rician Fading Channels. IEEE Open Journal of the Computer Society. Available at: 10.1109/OJCS.2025.3525519.
III. Aruna, G., 2015. Methodology of analysis of L-branch equal gain combiner with carrier phase error and CCI over Nakagami-m fading. International Conference on Computing and Network Communications (CoCoNet), pp. 505–510. 10.1109/CoCoNet.2015.7411233.
IV. Aruna, G. & Sahu, P.R., 2014. Performance analysis of MRC receiver with channel estimation error and CCI in Nakagami-m fading channel. Computational Intelligence and Computing Research (ICCIC), pp. 1–4. 10.1109/ICCIC.2014.7238299.
V. Badarneh, O. & Almehmadi, F.S., 2016. Performance analysis of L-branch MRC over generalized fading channels with imperfect channel estimation. IET Communications, 10(10), pp. 1175–1182. 10.1049/iet-com.2015.1015.
VI. Deka, N. & Subadar, R., 2023. Energy harvesting techniques and performance analysis for L-MRC receiver in Rayleigh fading channels. CSIT, 11, pp. 157–161. 10.1007/s40012-023-00385-y.
VII. Deka, N. & Subadar, R., 2024. Energy harvesting-based performance analysis in Nakagami-m fading channels. International Journal of Autonomous and Adaptive Communications Systems, 17(1), pp. 89–97. 10.1504/IJAACS.2024.135940.
VIII. Devi, L.M. & Singh, A.D., 2022. Channel capacity analysis of various adaptive transmission schemes and BER performance at Beaulieu-Xie fading. Radioelectronics and Communications Systems, 65, pp. 18–26. 10.3103/S0735272722010034.
IX. Duong, T.Q., Shin, H. & Hong, E.K., 2007. Error probability of binary and M-ary signals with spatial diversity in Nakagami-q (Hoyt) fading channels. EURASIP Journal on Wireless Communication and Networking, 4, pp. 1–8. 10.1155/2007/53742.
X. Durgin, G.D. & Rappaport, T.S., 2002. New analytical models and probability density function for fading in wireless communication. IEEE Transactions on Communication, 50(6), pp. 1005–1015. 10.1109/TCOMM.2002.1010620.
XI. Gradshteyn, I.S. & Ryzhik, I.M., 2007. Tables of Integrals, Series and Products. Elsevier Inc., USA.
XII. Jeong, W., Lee, J. & Yoon, D., 2011. New BER expression of MPSK. IEEE Transactions on Vehicular Technology, 60(4), pp. 1916–1924. 10.1109/TVT.2011.2114903.
XIII. Kim, D., Lee, H. & Kang, J., 2018. Comprehensive analysis of the impact of TWDP fading on the achievable error rate performance of BPSK signaling. IEICE Transactions on Communications, E101-B(2), pp. 500–507. 10.1587/transcom.2017EBP3108.
XIV. Kumar, P. & Sahu, P.R., 2014. Analysis of M-PSK with MRC receiver over κ−μ fading channels with outdated CSI. IEEE Wireless Communications Letters, 3(6), pp. 557–560. 10.1109/LWC.2014.2355849.
XV. Le-Thanh, T. & Ho-Van, K., 2024. MIMO NOMA with nonlinear energy harvesting and imperfect channel information. Arabian Journal for Science and Engineering, 49, pp. 6675–6693. 10.1007/s13369-023-08401-8.
XVI. Ma, Y., Schober, R. & Pasupathy, S., 2005. Effect of channel estimation error on MRC diversity in Rician fading channels. IEEE Transactions on Vehicular Technology, 54(6), pp. 2137–2142. 10.1109/TVT.2005.853454.
XVII. Ma, Y., Schober, R. & Pasupathy, S., 2005. Performance of M-PSK with GSC and EGC with Gaussian weighting errors. IEEE Transactions on Vehicular Technology, 54, pp. 149–162. 10.1109/TVT.2004.839674.
XVIII. Maric, A. & Njemcevic, P., 2024. Performance analysis of M-ary RQAM and M-ary DPSK receivers over the channels with TWDP fading. Wireless Networks, 30(12), pp. 3337–3347. 10.1007/s11276-024-03723-3.
XIX. Mishra, D. et al., 2015. Smart RF energy harvesting communications: challenges and opportunities. IEEE Communications Magazine, 53(4), pp. 70–78. 10.1109/MCOM.2015.7081078.
XX. Nasir, A.A. et al., 2013. Relaying protocols for wireless energy harvesting and information processing. IEEE Transactions on Wireless Communications, 12(7), pp. 3622–3636. 10.1109/TWC.2013.062413.122042.
XXI. Patangia, P.M. & Subadar, R., 2022. L-SC receiver over equally correlated TWDP channels. AEU – International Journal of Electronics and Communications, 149, p. 154173. 10.1016/j.aeue.2022.154173.
XXII. Radaydeh, R.M., 2007. Average error performance of M-ary modulation schemes in Nakagami-q (Hoyt) fading channels. IEEE Communications Letters, 11(3), pp. 255–257. 10.1109/LCOMM.2007.061323.
XXIII. Sahoo, S. & Kumar, N., 2025. Performance analysis of SWIPT-enabled two-way decode-and-forward relay network under kappa-miu fading. Annals of Telecommunications. 10.1007/s12243-025-01079-z.
XXIV. Saikia, B. & Subadar, R., 2018. Effect of estimation error on dual MRC receiver over Hoyt fading channels. International Journal of Electronics Letters. 10.1080/21681724.2018.1523470.
XXV. Saikia, B. & Subadar, R., 2019. Adaptive M-MRC scheme with estimation error over TWDP fading. International Journal of Autonomous and Adaptive Communications Systems, 12(1). 10.1504/IJAACS.2019.096668.
XXVI. Shaikh, F.K. & Zeadally, S., 2016. Energy harvesting in wireless sensor networks: A comprehensive review. Renewable and Sustainable Energy Reviews, 55, pp. 1041–1054. 10.1016/j.rser.2015.11.010.
XXVII. Simon, M.K. & Alouini, M.S., 2005. Digital Communication over Fading Channels, 2nd ed. John Wiley & Sons, Inc. 10.1002/0471715220.
XXVIII. Song, C. et al., 2014. MIMO broadcasting for simultaneous wireless information and power transfer. IEEE Globecom Workshops, pp. 1151–1156. 10.1109/GLOCOMW.2014.7063588.
XXIX. Tang, X., Alouini, M.-S. & Goldsmith, A.J., 1999. Effect of channel estimation error on M-QAM BER performance in Rayleigh fading. IEEE Transactions on Communications, 47, pp. 1856–1864. 10.1109/26.809706.
XXX. Trần, H.Q. & Van Khuong, H., 2024. Performance analysis for RIS-aided systems with energy harvesting. EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 11(1), e2. 10.4108/eetinis.v11i1.4369.
XXXI. Varshney, L.R., 2008. Transporting information and energy simultaneously. IEEE ISIT, pp. 1612–1616. 10.1109/ISIT.2008.4595260.
XXXII. Van, P.T. et al., 2016. Performance analysis in wireless power transfer system over Nakagami fading channels. ICEIC, pp. 1–4. 10.1109/ELINFOCOM.2016.75629718.
XXXIII. Yao, M. & Jin, J., 2007. Effect of channel estimation errors on MQAM with MRC and EGC. IEEE Transactions on Vehicular Technology, 56, pp. 1239–1250. 10.1109/TVT.2007.895491.
XXXIV. Yao, M., Schober, R. & Dongbo, Z., 2007. Exact BER for M-QAM with MRC and imperfect channel estimation. IEEE Transactions on Wireless Communications, 6, pp. 926–936. 10.1109/TWC.2007.05243.
XXXV. Zhou, X., Zhang, R. & Ho, C.K., 2013. Wireless information and power transfer: Architecture design and rate-energy tradeoff. IEEE Transactions on Communications, 61(11), pp. 4754–4767. 10.1109/TCOMM.2013.13.120855.
XXXVI. Zhu, P.Z. et al., 2022. Secrecy rate optimization in nonlinear energy harvesting model-based mmWave IoT systems. IEEE Systems Journal, 16(4), pp. 5939–5949. https://doi.org/10.1109/JSYST.2022.3147889.