Wirelessly Energy Harvesting DF Dual-hop Relaying Networks: Optimal Time Splitting Ratio and Performance Analysis

  • Tran Thien Thanh Ho Chi Minh City University of Transport, Vietnam
  • Vo Nguyen Quoc Bao Posts and Telecommunications Institute of Technology, Vietnam


This paper is to derive the optimal time splitting ratio for wireless energy harvesting DF dua-hop relaying networks. Using the partial relay selection, the best relay having the largest harvesting energy is chosen to be the forward for the second hop. We also derive the closed form expression for the optimal time splitting ratio that maximizes the system instantaneous capacity. Numerical results have shown that the system with the optimal time splitting ratio can significantly  improve instantaneous and ergodic system capacity at high signal-to-noise ratios for the same channel and system settings.


Download data is not yet available.


[1] X. Jie and Z. Rui, “Throughput optimal policies for energy harvesting wireless transmitters with non-ideal circuit power,” IEEE J. Sel. Areas Commun., vol. 32, no. 2, pp. 322–332, 2014.
[2] H. Kaibin and V. K. N. Lau, “Enabling wireless power transfer in cellular networks: Architecture, modeling and deployment,”IEEE Transactions on Wireless Communications, vol. 13, no. 2, pp. 902–912, 2014.
[3] L. R. Varshney, “Transporting information and energy simultaneously,”in Proc. IEEE International Symposium on Information Theory 2008 (ISIT’08), pp. 1612–1616.
[4] X. Zhou, R. Zhang, and C. Ho, “Wireless information and power transfer: Architecture design and rate-energy tradeoff,”IEEE Transactions on Communications, vol. 61, no. 11, pp.4754 – 4767, 2013.
[5] L. Liang, Z. Rui, and C. Kee-Chaing, “Wireless information transfer with opportunistic energy harvesting,” in Proc. 2012 IEEE International Symposium on Information Theory Proceedings (ISIT), Conference Proceedings, pp. 950–954.
[6] R. Zhang and C. K. Ho, “Mimo broadcasting for simultaneous wireless information and power transfer,” IEEE Trans.Wireless Commun., vol. 12, no. 5, pp. 1989–2001, 2013.
[7] X. Zhengzheng and T. Meixia, “Robust beamforming for wireless information and power transmission,” IEEE Wireless Communications Letters, vol. 1, no. 4, pp. 372–375, 2012.
[8] S. Lee, K. Huang, and R. Zhang, “Cognitive energy harvesting and transmission from a network perspective,” in Proc. 2012 IEEE International Conference on Communication Systems (ICCS), pp. 225–229. 20JOURNAL OF SCIENCE AND TECHNOLOGY: ISSUE ON INFORMATION AND COMMUNICATIONS TECHNOLOGY, VOL. 3, NO. 2, DECEMBER 2017
[9] R. Rajesh, V. Sharma, and P. Viswanath, “Information capacity of energy harvesting sensor nodes,” in Proc. 2011 IEEE International Symposium on Information Theory Proceedings (ISIT), Conference Proceedings, pp. 2363–2367.
[10] S. Sudevalayam and P. Kulkarni, “Energy harvesting sensor nodes: Survey and implications,” IEEE Communications Surveys & Tutorials, vol. 13, no. 3, pp. 443–461, 2011.
[11] D. Gndz and B. Devillers, “Two-hop communication with energy harvesting,” in Proc. 2011 4th IEEE InternationalWorkshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), pp. 201–204.
[12] I. Krikidis, T. Charalambous, and J. S. Thompson, “Stability analysis and power optimization for energy harvesting cooperative networks,” IEEE Signal. Proc. Let., vol. 19, no. 1, pp. 20–23, 2012.
[13] Y. Luo, J. Zhang, and K. B. Letaief, “Throughput maximization for two-hop energy harvesting communication systems,”in 2013 IEEE International Conference on Communications (ICC), pp. 4180–4184.
[14] B. Medepally and N. B. Mehta, “Voluntary energy harvesting relays and selection in cooperative wireless networks,” IEEE Transactions on Wireless Communications, vol. 9, no. 11, pp. 3543–3553, 2010.
[15] N. Do, V. Bao, and B. An, “Outage performance analysis of relay selection schemes in wireless energy harvesting cooperative networks over non-identical rayleigh fading channels,” Sensors, vol. 16, no. 3, p. 295, 2016. [Online]. Available: http://www.mdpi.com/1424-8220/16/3/295
[16] I. Krikidis, Z. Gan, and B. Ottersten, “Harvest-use cooperative networks with half/full-duplex relaying,” in Proc. of the 2013 IEEEWireless Communications and Networking Conference (WCNC), pp. 4256–4260.
[17] V. N. Q. Bao and H. Y. Kong, “Diversity order analysis of dual-hop relaying with partial relay selection,” IEICE Trans Commun, vol. E92-B, no. 12, pp. 3942–3946, 2009.
[18] V. N. Q. Bao, N. Linh-Trung, and M. Debbah, “Relay selection schemes for dual-hop networks under security constraints with multiple eavesdroppers,” IEEE Transactions on Wireless Communications, vol. 12, no. 12, pp. 6076–6085, 2013.
[19] I. Krikidis, J. Thompson, S. McLaughlin, and N. goertz, “Amplify-and-forward with partial relay selection,” IEEE Communications Letters, vol. 12, no. 4, pp. 235–237, 2008.
[20] V. N. Q. Bao and H. Y. Kong, “Incremental relaying for partial relay selection,” IEICE Trans. Commun., vol. E93-B, no. 5, pp. 1317–1321, 2010.
[21] T. Wang, A. Cano, G. B. Giannakis, and J. N. Laneman, “High-performance cooperative demodulation with decodeand-forward relays,” IEEE Trans. Commun., vol. 55, no. 7, pp.1427–1438, 2007.
[22] T. Q. Duong and V. N. Q. Bao, “Performance analysis of selection decode-and-forward relay networks,” Electron. Lett., vol. 44, no. 20, pp. 1206–1207, 2008.
[23] R. M. Corless, G. H. Gonnet, D. E. Hare, D. J. Jeffrey, and D. E. Knuth, “On the lambertw function,” Advances in Computational Mathematics, vol. 5, no. 1, pp. 329–359, 1996.
[24] D. Zwillinger, Table of integrals, series, and products. Elsevier, 2014.
How to Cite
THANH, Tran Thien; QUOC BAO, Vo Nguyen. Wirelessly Energy Harvesting DF Dual-hop Relaying Networks: Optimal Time Splitting Ratio and Performance Analysis. Journal of Science and Technology: Issue on Information and Communications Technology, [S.l.], v. 3, n. 2, p. 16-20, dec. 2017. ISSN 1859-1531. Available at: <http://ict.jst.udn.vn/index.php/jst/article/view/59>. Date accessed: 24 mar. 2023. doi: https://doi.org/10.31130/jst.2017.59.