{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:47:12Z","timestamp":1760237232880,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,3,20]],"date-time":"2020-03-20T00:00:00Z","timestamp":1584662400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Xi\u2019an University of Posts and Telecommunications","award":["CXJJLZ2019026"],"award-info":[{"award-number":["CXJJLZ2019026"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Compared with the conventional simultaneous wireless information and power transfer (SWIPT) based relaying with \u201charvest-then-forward\u201d protocol, the battery-assisted SWIPT relaying is more practical and powerful due to the joint use of the harvested energy and supplementary battery. However, to the best of our knowledge, the performance of a battery-assisted power splitting (PS)-SWIPT decode-and-forward (DF) relay system has not been studied. In this paper, for a given amount of energy from the relay\u2019s battery, we propose to maximize the outage and ergodic capacities by optimizing the static and dynamic PS ratios that rely on statistical and instantaneous channel state information (CSI), respectively, and derive their corresponding outage and ergodic capacities. Computer simulations validate our analytical results and demonstrate the advantages of the dynamic PS over the static PS in terms of the outage and ergodic capacities, as well as the energy efficiency.<\/jats:p>","DOI":"10.3390\/info11030165","type":"journal-article","created":{"date-parts":[[2020,3,23]],"date-time":"2020-03-23T04:03:01Z","timestamp":1584936181000},"page":"165","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On the Performance of Battery-Assisted PS-SWIPT Enabled DF Relaying"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5425-8651","authenticated-orcid":false,"given":"Zhipeng","family":"Liu","sequence":"first","affiliation":[{"name":"Shaanxi Key Laboratory of Information Communication Network and Security, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an 710121, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guangyue","family":"Lu","sequence":"additional","affiliation":[{"name":"Shaanxi Key Laboratory of Information Communication Network and Security, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an 710121, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0110-3592","authenticated-orcid":false,"given":"Yinghui","family":"Ye","sequence":"additional","affiliation":[{"name":"Shaanxi Key Laboratory of Information Communication Network and Security, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an 710121, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liqin","family":"Shi","sequence":"additional","affiliation":[{"name":"Shaanxi Key Laboratory of Information Communication Network and Security, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an 710121, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3796","DOI":"10.1109\/TVT.2015.2441879","article-title":"Multiuser overhearing for cooperative two-way multiantenna relays","volume":"65","author":"Li","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1109\/TVT.2015.2389826","article-title":"Overhearing protocol design exploiting intercell interference in cooperative green networks","volume":"65","author":"Li","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/MCOM.2015.7120018","article-title":"Toward self-sustainable cooperative relays: state of the art and the future","volume":"53","author":"Liu","year":"2015","journal-title":"IEEE Commun. Mag."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"73548","DOI":"10.1109\/ACCESS.2018.2883688","article-title":"Queue performance of energy harvesting cognitive radio sensor networks with cooperative spectrum sharing","volume":"6","author":"Jiao","year":"2018","journal-title":"IEEE Access"},{"key":"ref_5","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_6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11276-018-01924-1","article-title":"On outage minimization in rf energy harvesting relay assisted bidirectional communication","volume":"25","author":"Ghosh","year":"2019","journal-title":"Wirel. Netw."},{"key":"ref_7","first-page":"11","article-title":"Outage analysis for simultaneous wireless information and power transfer in dual-hop relaying networks","volume":"25","author":"Song","year":"2017","journal-title":"Wirel. Netw."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1109\/LCOMM.2018.2808960","article-title":"Capacity maximizing adaptive power splitting protocol for cooperative energy harvesting communication systems","volume":"22","author":"Ashraf","year":"2018","journal-title":"IEEE Commun. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Sheng, X., Lu, G., Shi, L., and Ye, Y. (2019). Performance Analysis of Hybrid Protocol Based AF EH Relaying over Asymmetric Fading Channels. Information, 10.","DOI":"10.3390\/info10020050"},{"key":"ref_10","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_11","doi-asserted-by":"crossref","first-page":"1316","DOI":"10.1109\/JSYST.2018.2850944","article-title":"Power splitting-based SWIPT with dual-hop DF relaying in the presence of a direct link","volume":"13","author":"Ye","year":"2019","journal-title":"IEEE Syst. J."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3016","DOI":"10.1109\/TVT.2019.2893346","article-title":"On the outage performance of SWIPT-based three-step two-way DF relay networks","volume":"68","author":"Ye","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Do, T.P., Jeong, Y., and Kim, Y.H. (2017). Rate Optimization of Two-Way Relaying with Wireless Information and Power Transfer. Information, 8.","DOI":"10.3390\/info8040141"},{"key":"ref_14","unstructured":"Li, Z., Chen, H.H., Gu, Y., Li, Y., and Vucetic, B. (September, January 29). Accumulate then forward: An opportunistic relaying protocol for wireless-powered cooperative communications. Proceedings of the 24th European Signal Processing Conference (EUSIPCO), Budapest, Hungary."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Pilanawithana, B., Atapattu, S., and Evans, J. (2017, January 4\u20138). Energy allocation and energy harvesting in wireless relay networks with hybrid protocol. Proceedings of the 2017 IEEE Global Communications Conference GLOBECOM, Singapore.","DOI":"10.1109\/GLOCOM.2017.8254847"},{"key":"ref_16","first-page":"4414","article-title":"Optimization of two-way relaying networks with battery-assisted EH relays","volume":"66","author":"Modem","year":"2018","journal-title":"IEEE Trans. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"10022","DOI":"10.1109\/TVT.2018.2853614","article-title":"Performance of EH protocols in two-hop networks with a battery-assisted EH relay","volume":"67","author":"Modem","year":"2018","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"3044","DOI":"10.1109\/JSYST.2017.2771480","article-title":"Optimization of links with a battery-assisted time-switching wireless energy harvesting relay","volume":"12","author":"Modem","year":"2018","journal-title":"IEEE Syst. J."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Agrawal, K., and Prakriya, S. (May, January 28). Optimization of time splitting based SWIPT in battery-assisted full duplex relays. Proceedings of the IEEE 89th Vehicular Technology Conference (VTC2019-Spring), Kuala Lumpur, Malaysia.","DOI":"10.1109\/VTCSpring.2019.8746597"},{"key":"ref_20","unstructured":"Gradshteyb, I.S., and Ryzhik, I.M. (2007). Table of Integrals, Series, and Products, Academic. [7th ed.]."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"938","DOI":"10.1109\/JSAC.2016.2549378","article-title":"Cooperative non-orthogonal multiple access with simultaneous wireless information and power transfer","volume":"34","author":"Liu","year":"2016","journal-title":"IEEE J. Sel. Areas Comm."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1218","DOI":"10.1109\/TVT.2014.2329853","article-title":"A unified approach for calculating the outage performance of two-way af relaying over fading channels","volume":"64","author":"Zhang","year":"2015","journal-title":"IEEE Trans. Veh. Technol."}],"container-title":["Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2078-2489\/11\/3\/165\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:10:18Z","timestamp":1760173818000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2078-2489\/11\/3\/165"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,20]]},"references-count":22,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2020,3]]}},"alternative-id":["info11030165"],"URL":"https:\/\/doi.org\/10.3390\/info11030165","relation":{},"ISSN":["2078-2489"],"issn-type":[{"type":"electronic","value":"2078-2489"}],"subject":[],"published":{"date-parts":[[2020,3,20]]}}}