Abstract
The unmanned aerial vehicle (UAV) is considered a promising auxiliary relay for enhancing network coverage due to its easy deployment, agility, and maneuverability. In order to overcome the obstruction of towering buildings and the limitation of relaying energy, this paper proposes a half-duplex decode-and-forward UAV-assisted relaying network based on simultaneous wireless information and power transfer scheme. The power splitting (PS) is implemented at the UAV relay to address the challenge of energy limitation by separating information and energy from the radio frequency signal. We also study the impact of hardware impairments on transmitters, which can actually degrade communication performance. We derive both an exact expression and asymptotic analysis for the outage probability (OP) with energy harvesting and hardware impairments. In addition, we formulate an optimization form to find the optimal PS ratio and minimize the outage probability. Due to the nonconvex nature of this optimization problem, we perform a series of transformations to reformulate it into a convex optimization form. Experimental simulations validate our theoretical results. Specifically, optimal altitude for UAV is about 300 m and relatively constant in different conditions. The OP of our work is nearly 0.33 smaller than that of AF relaying in a given situation. Moreover, we provide practical guidance for the design and deployment of the UAV-assisted communication by exploring the effects of UAV’s altitude, hardware impairments level, and power splitting ratio on the outage probability.
Similar content being viewed by others
Code availability
The datasets generated during the current study are available from the corresponding author by reasonable request.
References
Behbahani, A. S., Merched, R., & Eltawil, A. M. (2008). Optimizations of a MIMO relay network. IEEE Transactions on Signal Processing, 56(10), 5062–5073.
Schein, B., & Gallager, R. (2000). The Gaussian parallel relay network. IEEE international symposium on information theory (Cat. No. 00CH37060), 22.
Xia, B., Fan, Y., Thompson, J., & Poor, H. V. (2008). Buffering in a three-node relay network. IEEE Transactions on Wireless Communications, 7(11), 4492–4496.
Soleimani-Nasab, E., Matthaiou, M., Ardebilipour, M., & Karagiannidis, G. K. (2013). Two-way AF relaying in the presence of co-channel interference. IEEE Transactions on Communications, 61(8), 3156–3169.
Jiménez Rodríguez, L., Tran, N. H., & Le-Ngoc, T. (2014). Performance of full-duplex AF relaying in the presence of residual self-interference. IEEE Journal on Selected Areas in Communications, 32(9), 1752–1764.
Bjornson, E., Matthaiou, M., & Debbah, M. (2013). A new look at dual-hop relaying: Performance limits with hardware impairments. IEEE Transactions on Communications, 61(11), 4512–4525.
Liu, B., Zhu, Q., & Zhu, H. (2020). Trajectory optimization and resource allocation for UAV-assisted relaying communications. Wireless Networks, 26, 739–749.
Singh, C. K., & Upadhyay, P. K. (2021). Overlay cognitive IoT-based full-duplex relaying NOMA systems with hardware imperfections. IEEE Internet of Things Journal, 9(9), 6578–6596.
Prathima, A., Gurjar, D. S., Jiang, Y., & Yadav, S. (2022). Wireless powered cognitive radio networks with multiple antenna sources and hardware impairments. Physical Communication, 55, 101859.
Costa, E., & Pupolin, S. (2002). M-QAM-OFDM system performance in the presence of a nonlinear amplifier and phase noise. IEEE Transactions on Communications, 50(3), 462–472.
Li, X., Zhao, M., Liu, Y., Li, L., Ding, Z., & Nallanathan, A. (2020). Secrecy analysis of ambient backscatter NOMA systems under I/Q imbalance. IEEE Transactions on Vehicular Technology, 69(10), 12286–12290.
Schenk, T. (2008). RF imperfections in high-rate wireless systems: Impact and digital compensation. Springer.
Studer, C., Wenk, M., & Burg, A. (2010). MIMO transmission with residual transmit-RF impairments. International ITG workshop on smart antennas (WSA) (pp. 189–196).
Huang, J., Zhou, Y., Ning, Z., & Gharavi, H. (2019). Wireless power transfer and energy harvesting: Current status and future prospects. IEEE Wireless Communications, 26(4), 163–169.
Piñuela, M., Mitcheson, P. D., & Lucyszyn, S. (2013). Ambient RF energy harvesting in urban and semi-urban environments. IEEE Transactions on Microwave Theory and Techniques, 61(7), 2715–2726.
Singh, C. K., Singh, V., Upadhyay, P. K., & Lin, M. (2021). Energy harvesting in overlay cognitive NOMA systems with hardware impairments. IEEE Systems Journal, 16(2), 2648–2659.
Krikidis, I., Timotheou, S., Nikolaou, S., Zheng, G., Ng, D. W. K., & Schober, R. (2014). Simultaneous wireless information and power transfer in modern communication systems. IEEE Communications Magazine, 52(11), 104–110.
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), 4754–4767.
Zhang, R., & Ho, C. K. (2013). MIMO broadcasting for simultaneous wireless information and power transfer. IEEE Transactions on Wireless Communications, 12(5), 1989–2001.
De F., Edison P., Heimfarth, T., Netto, I. F., Lino, C. E., Pereira, C. E., Ferreira, A. M., & Wagner, F. (2010). UAV relay network to support WSN connectivity. International congress on ultra modern telecommunications and control systems (pp. 309–314).
Chen, Y., Feng, W., & Zheng, G. (2017). Optimum placement of UAV as relays. IEEE Communications Letters, 22(2), 248–251.
Hu, X., Wong, K., Yang, K., & Zheng, Z. (2019). UAV-assisted relaying and edge computing: Scheduling and trajectory optimization. IEEE Transactions on Wireless Communications, 18(10), 4738–4752.
Zhang, Y., Zhang, J., Peppas, K. P., & Ai, B. (2021). Performance analysis of dual-hop UAV relaying systems over mixed fluctuating two-ray and Nakagami-m fading channels. Science China Information Sciences, 64, 1–3.
Yin, Z., Jia, M., Cheng, N., Wang, W., Lyu, F., Guo, Q., & Shen, X. (2021). UAV-assisted physical layer security in multi-beam satellite-enabled vehicle communications. IEEE Transactions on Intelligent Transportation Systems, 23(3), 2739–2751.
Cai, Y., Jiang, X., Liu, M., Zhao, N., Chen, Y., & Wang, X. (2022). Resource allocation for URLLC-oriented two-way UAV relaying. IEEE Transactions on Vehicular Technology, 71(3), 3344–3349.
Liu, H., Kim, K. J., Kwak, K. S., & Poor, H. V. (2016). Power splitting-based SWIPT with decode-and-forward full-duplex relaying. IEEE Transactions on Wireless Communications, 15(11), 7561–7577.
Ye, Y., Li, Y., Wang, D., Zhou, F., Hu, R. Q., & Zhang, H. (2018). Optimal transmission schemes for DF relaying networks using SWIPT. IEEE Transactions on Vehicular Technology, 67(8), 7062–7072.
Prathima, A., Gurjar, D. S., Yadav, S., Krstic, D., Milosevic, N., & Jokovic, J. (2022). UAV-assisted wireless information and power transfer for self-sustained IoT communications. IEEE Sensors Journal, 22(24), 24593–24606.
Tin, P. T., Phan, V. D., Nguyen, P. X., Nguyen, T. L., Chau, D. S. T., & Nguyen, T. N. (2021). Outage analysis in SWIPT-based decode-and-forward relay networks with partial relay selection. Modelling and Simulation in Engineering, 2021, 1–7.
Kim, Y. H., Chowdhury, I. A., & Song, I. (2020). Design and analysis of UAV-assisted relaying with simultaneous wireless information and power transfer. IEEE Access, 8, 27874–27886.
Yang, L., Chen, J., Hasna, M. O., & Yang, H. (2020). Outage performance of UAV-assisted relaying systems with RF energy harvesting. IEEE Communications Letters, 22(12), 2471–2474.
Wang, X., & Gursoy, M. C. (2019). Coverage analysis for energy-harvesting UAV-assisted mmWave cellular networks. IEEE Access, 37(12), 2832–2850.
Ji, B., Li, Y., Cao, D., Li, C., Mumtaz, S., & Wang, D. (2020). Secrecy performance analysis of UAV assisted relay transmission for cognitive network with energy harvesting. IEEE Transactions on Vehicular Technology, 69(7), 7404–7415.
Qiu, W., Huang, C., Chen, Y., Huang, S., Bao, H., & Li, Z. (2023). A contract-based energy harvesting mechanism in UAV communication network. Computer Communications, 199, 50–61.
Cheng, S., Wang, R., Wu, J., Zhang, W., & Fang, Z. (2018). Performance analysis and beamforming designs of MIMO AF relaying with hardware impairments. IEEE Transactions on Vehicular Technology, 67(7), 6229–6243.
Xing, Z., Wang, R., Wu, J., & Liu, E. (2021). Achievable rate analysis and phase shift optimization on intelligent reflecting surface with hardware impairments. IEEE Transactions on Wireless Communications, 20(9), 5514–5530.
Zan, J., Lu, G., & Ye, Y. (2021). Outage performance of UAV-assisted AF relaying with hardware impairments. Physical Communication, 46, 101334.
Pandey, G. K., Gurjar, D. S., Yadav, S., & Solanki, S. (2023). UAV-empowered IoT network with hardware impairments and shadowing. IEEE Sensors Letters, 7(7), 7500404.
Wimp, J. (1997). Table of integrals, series and products: CD-ROM version 1.0. By IS Gradshteyn and IM Ryzhik. The American Mathematical Monthly, 104(4), 373–376.
Neumaier, A. (1974). Introduction to numerical analysis. Texts in Applied Mathematics, 8(4), 719–720.
Funding
This work was supported by the National Natural Science Foundation of China (NSFC, No. 61702320) and the Natural Science Foundation of Shanghai Science and Technology Innovation Action Plan (No. 22ZR1425300).
Author information
Authors and Affiliations
Contributions
All authors contributed to the design and methodology of this study, the assessment of the outcomes and the writing of the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no Conflict of interest to declare that are relevant to the content of this article.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Chen, J., Chen, N., Cheng, S. et al. Performance analysis of UAV-assisted DF relaying network with hardware impairments and energy harvesting. Wireless Netw (2024). https://doi.org/10.1007/s11276-024-03703-7
Accepted:
Published:
DOI: https://doi.org/10.1007/s11276-024-03703-7