Abstract
Due to the superiority of large coverage, high mobility, high-quality channels, and reusability, high altitude platforms (HAPs) can be exploited as the aerial communication means to provide users in disaster areas with long-term and stable data relay services. In this correspondence, a HAP relaying system based on clustered non-orthogonal multiple access (C-NOMA) is designed in which the HAP provides data transfer services for base station (BS) and users who cannot communicate directly. According to the system, a joint HAP flight trajectory optimization and power allocation scheme is proposed, which aims at maximizing the downlink average achievable sum rate of all users while satisfying the information causality. Since the formulated problem is non-convex, we propose an efficient iterative algorithm to derive the approximately optimal solution by alternately optimizing the HAP flight trajectory, and the transmit power of BS and HAP. The numerical simulation results demonstrate that the proposed scheme can not only effectively improve the achievable sum rate, but also significantly enhance the fairness between users compared with the benchmark scheme.
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References
Karapantazis, S., & Pavlidou, F.-N. (2005). Broadband communications via high-altitude platforms: A survey. IEEE Communications Surveys and Tutorials., 7, 2–31.
Hoshino,K., Sudo, S., & Ohta, Y. (2019) A study on antenna beamforming method considering movement of solar plane in HAPS System. In 2019 IEEE 90th Vehicular Technology Conference (VTC2019-Fall), Honolulu, HI, USA, 2019, pp. 1–5, https://doi.org/10.1109/VTCFall.2019.8891546
Zhou, D., Gao, S., Liu, R., Gao, F., & Guizani, M. (2020). Overview of development and regulatory aspects of high altitude platform system. Intelligent and Converged Networks, 1(1), 58–78. https://doi.org/10.23919/ICN.2020.0004
Arum, S. C., Grace, D., & Mitchell, P. D. (2020). A review of wireless communication using high-altitude platforms for extended coverage and capacity. Computer Communications, 157(5), 232–256.
Lu, W., Ding, Y., Gao, Y., Hu, S., Wu, Y., Zhao, N., & Gong, Y. (2021). Resource and trajectory optimization for secure communications in dual-UAV-MEC systems. IEEE Transactions on Industrial Informatics. https://doi.org/10.1109/TII.2021.3087726
Lin, Y., Wang, M., Zhou, X., Ding, G., & Mao, S. (2020). Dynamic spectrum interaction of uav flight formation communication with priority: A deep reinforcement learning approach. IEEE Transactions on Cognitive Communications and Networking, 6(3), 892–903. https://doi.org/10.1109/TCCN.2020.2973376
Na, Z., Lv, J., Jiang, F., Xiong, M., & Zhao, N. (2019). Joint subcarrier and subsymbol allocation-based simultaneous wireless information and power transfer for multiuser GFDM in IoT. IEEE Internet of Things Journal, 6(4), 5999–6006. https://doi.org/10.1109/JIOT.2018.2865248
Na, Z., Wang, Y., Li, X., Xia, J., Liu, X., Xiong, M., & Lu, W. (2018). Subcarrier allocation based simultaneous wireless information and power transfer algorithm in 5G cooperative OFDM communication systems. Physical Communication, 29, 164–170.
Wang, M., Lin, Y., Tian, Q., & Si, G. (2021). Transfer learning promotes 6G wireless communications: Recent advances and future challenges. IEEE Transactions on Reliability, 70(2), 790–807. https://doi.org/10.1109/TR.2021.3062045
Wang, Z., Zhou, W., Chen, L., Zhou, F., Zhu, F., & Fan, L. (2021). An adaptive deep learning-based UAV receiver design for coded MIMO with correlated noise. Physical Communication, 47, 101365.
Xia, J., Fan, L., Xu, W., Lei, X., Chen, X., & Karagiannidis, G. K. (2019). A Nallanathan secure cache-aided multi-relay networks in the presence of multiple eavesdroppers. IEEE Transactions on Communications, 67(11), 7672–7685. https://doi.org/10.1109/TCOMM.2019.2935047
Zakia,I. (2017). Capacity of HAP-MIMO channels for high-speed train communications. In 2017 3rd International Conference on Wireless and Telematics (ICWT), Palembang, Indonesia, pp. 26–30.
Na, Z., Wang, J., Liu, C., & Gao, Z. (2020). Join trajectory optimization and communication design for UAV-enabled OFDM networks. Ad hoc Networks. 98, 102031.
Kurt, G. K., Khoshkholgh, M. G., Alfattani, S., Ibrahim, A., Darwish, T. S., Alam, M. S., Yanikomeroglu, H., & Yongacoglu, A. (2021). A vision and framework for the high altitude platform station (HAPS) networks of the future. IEEE Communications Surveys & Tutorials., 23(2), 729.
Konishi,M., Nishimaki, T., Shibata Y., Nabatame, S., Nagate A. (2020). A study of co-channel spectrum-sharing system between HAPS and terrestrial mobile communication networks. In 2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring), Antwerp, Belgium, 2020, pp. 1–5.
Wang, J., Na, Z., & Liu, X. (2020). Collaborative Design of Multi-UAV Trajectory and Resource Scheduling for 6G-enabled Internet of Things. IEEE Internet of Things Journal. https://doi.org/10.1109/JIOT.2020.3031622
Song,H. Y. (2008). A method of mobile base station placement for High Altitude Platform based network with geographical clustering of mobile ground nodes. In 2008 International Multiconference on Computer Science and Information Technology, Wisla, Poland, pp. 869–876, https://doi.org/10.1109/IMCSIT.2008.4747344.
Dong, F., He, Y., Zhou, X., Yao, Q. & Liu, L. (2015). Optimization and design of HAPs broadband communication networks. In 2015 5th International Conference on Information Science and Technology (ICIST), Changsha, China, pp. 154–159, https://doi.org/10.1109/ICIST.2015.7288959.
Dovis, F., Fantini, R., Mondin, M., & Savi, P. (2002). Small-scale fading for high-altitude platform (HAP) propagation channels. IEEE Journal on Selected Areas in Communications, 20(3), 641–647. https://doi.org/10.1109/49.995523
Anicho, O., Charlesworth, P. B., Baicher, G. S., Nagar, A. & Buckley, N. (2019). Comparative study for coordinating multiple unmanned HAPS for communications area coverage. In 2019 International Conference on Unmanned Aircraft Systems (ICUAS), Atlanta, GA, USA, pp. 467–474.
Xu,D., Yi, X., Chen, Z., Li, C., Zhang, C. & Xia, B. (2017). Coverage ratio optimization for HAP communications. In 2017 IEEE 28th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC) Montreal, QC, Canada, 2017, pp. 1–5.
Tang, S., Yan, D., You, P., Yong, S. & Xu, S. (2017). Multi Objective optimization deployment of HAP broadband communication networks. In 2017 IEEE 9th International Conference on Communication Software and Networks (ICCSN), Guangzhou, China, pp. 436–442.
Vaiopoulos, N., Sandalidis, H. G., & Varoutas, D. (2013). Using a HAP network to transfer WiMAX OFDM signals: Outage probability analysis. IEEE/OSA Journal of Optical Communications and Networking, 5(7), 711–721. https://doi.org/10.1364/JOCN.5.000711
Palma-Lazgare, I. R., & Delgado-Penin, J. A. (2008). Fixed broadband wireless access based on HAPS using COFDM schemes: Channel modelling and performance evaluation. In 2008 Australasian Telecommunication Networks and Applications Conference, Adelaide, SA, Australia, pp. 62–66, https://doi.org/10.1109/ATNAC.2008.4783296.
Siahaan, K. G., & Iskandar. (2016). Performance improvement on the Downlink HAPS communication channel employing MIMO antenna. In 2016 10th International Conference on Telecommunication Systems Services and Applications (TSSA). Denpasar, Indonesia, pp. 1–4.
Ibrahim,A., & Alfa, A. S. (2014). Solving binary and continuous knapsack problems for radio resource allocation over High Altitude Platforms. In 2014 Wireless Telecommunications Symposium, Washington, DC, USA, pp. 1–7.
Ibrahim, A., & Alfa, A. S. (2015). Using Lagrangian relaxation for radio resource allocation in high altitude platforms. IEEE Transactions on Wireless Communications, 14(10), 5823–5835.
Michailidis, E. T., & Kanatas, A. G. (2010). Three-dimensional HAP-MIMO channels: Modeling and analysis of space-time correlation. IEEE Transactions on Vehicular Technology, 59(5), 2232–2242. https://doi.org/10.1109/TVT.2010.2042629
King,P. R., Evans B. G., & Stavrou, S. (2006). Physical-statistical model for the land mobile-satellite channel applied to satellite/HAP-MIMO. In 11th European Wireless Conference 2005: Next Generation wireless and Mobile Communications and Services, Nicosia, Cyprus, 2006, pp. 1–5.
Lian, Z., Jiang, L., He, C. & Xi, Q. (2016). A novel channel model for 3-d HAP-MIMO communication systems. In 2016 International Conference on Networking and Network Applications (NaNA), Hakodate, Japan, pp. 1–6, https://doi.org/10.1109/NaNA.2016.94.
Liu, X., Huang, T., Shlezinger, N., Liu, Y., Zhou, J., & Eldar, Y. C. (2020). Joint transmit beamforming for multiuser MIMO communications and MIMO radar. IEEE Transactions on Signal Processing, 68, 3929–3944. https://doi.org/10.1109/TSP.2020.3004739
AbdelMoniem, M., Gasser, S. M., El-Mahallawy, M. S., Fakhr, M. W., & Soliman, A. (2019). Enhanced NOMA system using adaptive coding and modulation based on LSTM neural network channel estimation. Application Science, 9(15), 3022.
Na, Z., Liu, Y., & Wang, J. (2020). Clustered-NOMA based resource allocation in wireless powered communication networks. Mobile Network Application.
Na, Z., Liu, Y., Shi, J., Liu, C., & Gao, Z. (2020). UAV-supported clustered NOMA for 6G-enabled internet of things: Trajectory planning and resource allocation. IEEE Internet of Things Journal. https://doi.org/10.1109/JIOT.2020.3004432
Ji, P., Jiang, L., He, C., Lian, Z., & He, D. (2021). Energy-efficient beamforming for beamspace HAP-NOMA systems. IEEE Communications Letters. https://doi.org/10.1109/LCOMM.2020.3031635
Zhang, G., Han, Z., & Xin, H. (2020). Power control for NOMA HAP-UAV integrated aerial access networks. In GLOBECOM 2020: 2020 IEEE Global Communications Conference, Taipei, Taiwan, 2020, pp. 1–6.
Liu, X., & Zhang, X. (2020). NOMA-based resource allocation for cluster-based cognitive industrial Internet of Things. IEEE Transactions on Industrial Informatics, 16(8), 5379–5388. https://doi.org/10.1109/TII.2019.2947435
Liu, X., Zhai, X. B., Lu, W., & Wu, C. (2021). QoS-guarantee resource allocation for multibeam satellite industrial internet of things with NOMA. IEEE Transactions on Industrial Informatics, 17(3), 2052–2061. https://doi.org/10.1109/TII.2019.2951728
Liu, X., & Zhang, X. (2019). Rate and energy efficiency improvements for 5G-based IoT with simultaneous transfer. IEEE Internet of Things Journal, 6(4), 5971–5980. https://doi.org/10.1109/JIOT.2018.2863267
Ding, Z., Fan, P., & Poor, H. V. (2016). Impact of USER PAIRING on 5G nonorthogonal multiple-access downlink transmissions. IEEE Transactions on Vehicular Technology, 65(8), 6010–6023.
Ali, M. S., Tabassum, H., & Hossain, E. (2016). Dynamic user clustering and power allocation for uplink and downlink non-orthogonal multiple access (NOMA) systems. IEEE Access, 4, 6325–6343.
Zakaria, M. D., Grace, D., Mitchell, P. D., & Shami, T. M. (2018). User-centric JT-CoMP for high altitude platforms. In 2018 26th International Conference on Software, Telecommunications and Computer Networks (SoftCOM), Split, Croatia, 2018, pp. 1–6.
Diamantoulakis, P. D., Pappi, K. N., Ding, Z. & Karagiannidis, G. K. (2016). Optimal design of non-orthogonal multiple access with wireless power transfer. In 2016 IEEE International Conference on Communications (ICC), Kuala Lumpur, Malaysia, pp. 1–6.
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Na, Z., Wang, Y. & Xiong, M. Joint trajectory and power optimization for NOMA-based high altitude platform relaying system. Wireless Netw 30, 3885–3896 (2024). https://doi.org/10.1007/s11276-021-02778-w
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DOI: https://doi.org/10.1007/s11276-021-02778-w