{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,26]],"date-time":"2025-11-26T22:00:21Z","timestamp":1764194421221,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,6]],"date-time":"2020-01-06T00:00:00Z","timestamp":1578268800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this research, we proposed and investigated the physical layer system called the full-duplex (FD) power beacon-assisted (PB) energy harvesting (EH) relaying cooperative network. The system model has one PB node, one destination (D), one source (S), and one relay (R) node. We investigated the system performance in terms of outage probability (OP) and system throughput (ST) with the power-splitting (PS) protocol in both delay-tolerant (DTT) and delay-limited (DLT) transmission modes. Moreover, the optimal power splitting (PS) factor in both DDT and DLT modes is proposed and derived. Finally, the mathematical closed-form expressions of the OP and ST are derived by using the Monte Carlo simulation with the help of MATLAB software. From the results, it can be observed that the analytical values and simulation values are the same in the effect of the main system parameters.<\/jats:p>","DOI":"10.3390\/sym12010106","type":"journal-article","created":{"date-parts":[[2020,1,6]],"date-time":"2020-01-06T10:34:46Z","timestamp":1578306886000},"page":"106","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Power Beacon-Assisted Energy Harvesting Wireless Physical Layer Cooperative Relaying Networks: Performance Analysis"],"prefix":"10.3390","volume":"12","author":[{"given":"Phu Tran","family":"Tin","sequence":"first","affiliation":[{"name":"Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City 700000, Vietnam"}]},{"given":"Bach Hoang","family":"Dinh","sequence":"additional","affiliation":[{"name":"Power System Optimization Research Group, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2286-6652","authenticated-orcid":false,"given":"Tan N.","family":"Nguyen","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6980-7273","authenticated-orcid":false,"given":"Duy Hung","family":"Ha","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam"}]},{"given":"Tran Thanh","family":"Trang","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and Technology, Van Hien University, 665-667-669 Dien Bien Phu, Ho Chi Minh City 700000, Vietnam"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1109\/MCOM.2015.7081084","article-title":"Wireless powered communication: Opportunities and challenges","volume":"53","author":"Bi","year":"2015","journal-title":"IEEE Commun. Mag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1109\/MWC.2017.1600116","article-title":"Wireless Powered Communication Networks: Research Directions and Technological Approaches","volume":"24","author":"Niyato","year":"2017","journal-title":"IEEE Wirel. Commun."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Yu, H., Lee, H., and Jeon, H. (2017). What is 5G? Emerging 5G Mobile Services and Network Requirements. Sustainability, 9.","DOI":"10.3390\/su9101848"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"4754","DOI":"10.1109\/TCOMM.2013.13.120855","article-title":"Wireless Information and Power Transfer: Architecture Design and Rate-Energy Tradeoff","volume":"61","author":"Zhou","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"264","DOI":"10.3176\/proc.2019.3.03","article-title":"Multi-source in DF Cooperative Networks with the PSR Protocol Based Full-duplex Energy Harvesting over a Rayleigh Fading Channel: Performance Analysis","volume":"68","author":"Nguyen","year":"2019","journal-title":"Proc. Est. Acad. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Nguyen, T.N., Tran, M., Nguyen, T.L., Ha, D.H., and Voznak, M. (2019). Performance Analysis of a User Selection Protocol in Cooperative Networks with Power Splitting Protocol-Based Energy Harvesting Over Nakagami-m\/Rayleigh Channels. Electronics, 8.","DOI":"10.3390\/electronics8040448"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Nguyen, T., Quang Minh, T., Tran, P., and Voz\u0148\u00e1k, M. (2018). Energy Harvesting over Rician Fading Channel: A Performance Analysis for Half-Duplex Bidirectional Sensor Networks under Hardware Impairments. Sensors, 18.","DOI":"10.3390\/s18061781"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Gu, Y., Chen, H., Li, Y., and Vucetic, B. (2015, January 8\u201312). An adaptive transmission protocol for wireless-powered cooperative communications. Proceedings of the IEEE International Conference on Communications (ICC), London, UK.","DOI":"10.1109\/ICC.2015.7248986"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1109\/TWC.2013.112513.130760","article-title":"Throughput Maximization in Wireless Powered Communication Networks","volume":"13","author":"Ju","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1100","DOI":"10.1109\/LCOMM.2013.050313.122813","article-title":"On the Capacity of Decode-and-Forward Relaying over Rician Fading Channels","volume":"17","author":"Bhatnagar","year":"2013","journal-title":"IEEE Commun. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3622","DOI":"10.1109\/TWC.2013.062413.122042","article-title":"Relaying Protocols for Wireless Energy Harvesting and Information Processing","volume":"12","author":"Nasir","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_12","first-page":"10","article-title":"Adaptive Energy Harvesting Relaying Protocol for Two-Way Half Duplex System Network over Rician Fading Channels","volume":"2018","author":"Tan","year":"2018","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"6425","DOI":"10.1109\/TWC.2015.2453418","article-title":"RF-Based Energy Harvesting in Decode-and-Forward Relaying Systems: Ergodic and Outage Capacities","volume":"14","author":"Gu","year":"2015","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1109\/TVT.2015.2402274","article-title":"Outage Probability of Energy Harvesting Relay-Aided Cooperative Networks over Rayleigh Fading Channel","volume":"65","author":"Li","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Ma, Y., Chen, H., Lin, Z., Li, Y., and Vucetic, B. (2015, January 8\u201312). Distributed resource allocation for power beacon-assisted wireless-powered communications. Proceedings of the IEEE International Conference on Communications (ICC), London, UK.","DOI":"10.1109\/ICC.2015.7248924"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1109\/TWC.2013.122313.130727","article-title":"Enabling Wireless Power Transfer in Cellular Networks: Architecture, Modeling and Deployment","volume":"13","author":"Huang","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1109\/LCOMM.2017.2654254","article-title":"Energy Beamforming for Wireless Power Transfer in MISO Heterogeneous Network With Power Beacon","volume":"21","author":"Park","year":"2017","journal-title":"IEEE Commun. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1754","DOI":"10.1109\/TWC.2011.041311.091011","article-title":"Ergodic Mutual Information Analysis for Multi-Keyhole MIMO Channels","volume":"10","author":"Zhong","year":"2011","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Duong, T.Q., Duy, T.T., Matthaiou, M., Tsiftsis, T., and Karagiannidis, G.K. (2013, January 9\u201313). Cognitive cooperative networks in dual-hop asymmetric fading channels. Proceedings of the IEEE Global Communications Conference (GLOBECOM), Atlanta, GA, USA.","DOI":"10.1109\/GLOCOM.2013.6831197"},{"key":"ref_20","unstructured":"Zwillinger, D. (2015). Table of Integrals, Series, and Products, Springer."},{"key":"ref_21","unstructured":"Chong, E.K.P., and Zak, S.H. (2013). An Introduction to Optimization, Wiley. [4th ed.]."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1016\/j.adhoc.2018.10.005","article-title":"Performance Enhancement for Energy Harvesting Based Two-way Relay Protocols in Wireless Ad-hoc Networks with Partial and Full Relay Selection Methods","volume":"84","author":"Nguyen","year":"2019","journal-title":"Ad Hoc Netw."},{"key":"ref_23","first-page":"74","article-title":"Two-Way Half Duplex Decode and Forward Relaying Network with Hardware Impairment over Rician Fading Channel: System Performance Analysis","volume":"24","author":"Tan","year":"2018","journal-title":"Elektron. Ir Elektrotechnika"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Phan, V.D., Nguyen, T.N., Tran, M., Trang, T.T., Voznak, M., Ha, D.H., and Nguyen, T.L. (2019). Power Beacon-Assisted Energy Harvesting in a Half-Duplex Communication Network under Co-Channel Interference over a Rayleigh Fading Environment: Energy Efficiency and Outage Probability Analysis. Energies, 12.","DOI":"10.3390\/en12132579"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"111","DOI":"10.3176\/proc.2019.1.11","article-title":"Energy Harvesting Based Two-way Full-duplex Relaying Network over a Rician Fading Environment: Performance Analysis","volume":"68","author":"Nguyen","year":"2019","journal-title":"Proc. Est. Acad. Sci."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Nguyen, T., Tran, M., Nguyen, T.L., Ha, D.H., and Voznak, M. (2019). Multisource Power Splitting Energy Harvesting Relaying Network in Half-Duplex System over Block Rayleigh Fading Channel: System Performance Analysis. Electronics, 8.","DOI":"10.3390\/electronics8010067"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"6036087","DOI":"10.1155\/2018\/6036087","article-title":"On the Performance of Power Splitting Energy Harvested Wireless Full-Duplex Relaying Network with Imperfect CSI over Dissimilar Channels","volume":"2018","author":"Nguyen","year":"2018","journal-title":"Secur. Commun. Netw."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Nguyen, T., Tran Tin, P., Ha, D., Voznak, M., Tran, P., Tran, M., and Nguyen, T.L. (2018). Hybrid TSR\u2013PSR Alternate Energy Harvesting Relay Network over Rician Fading Channels: Outage Probability and SER Analysis. Sensors, 18.","DOI":"10.3390\/s18113839"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/1\/106\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T14:03:44Z","timestamp":1760364224000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/1\/106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,6]]},"references-count":28,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1]]}},"alternative-id":["sym12010106"],"URL":"https:\/\/doi.org\/10.3390\/sym12010106","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,1,6]]}}}