{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:11:02Z","timestamp":1760242262442,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,16]],"date-time":"2017-03-16T00:00:00Z","timestamp":1489622400000},"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 paper, we propose various kinds of two-way multi-antenna relaying with simultaneous wireless information and power transfer (SWIPT) and investigate their performance. Specifically, we first consider a two-way relay network where two single-antenna end nodes communicate with each other through a multi-antenna relay node that is energy constrained. This relay node harvests energy from the two end nodes and use the harvested energy for forwarding their information. Six relaying schemes that support the considered network then build on the power splitting-based relaying and time switching-based relaying protocols. The average bit error rates of these schemes are evaluated and compared by computer simulations considering several network parameters, including the number of relay antennas, power splitting ratio, and energy harvesting time. Such evaluation and comparison provide useful insights into the performance of SWIPT-based two-way multi-antenna relaying.<\/jats:p>","DOI":"10.3390\/sym9030042","type":"journal-article","created":{"date-parts":[[2017,3,16]],"date-time":"2017-03-16T11:24:28Z","timestamp":1489663468000},"page":"42","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Two-Way Multi-Antenna Relaying with Simultaneous Wireless Information and Power Transfer"],"prefix":"10.3390","volume":"9","author":[{"given":"Thanaphat","family":"Srivantana","sequence":"first","affiliation":[{"name":"College of Information and Communication Technology, Rangsit University, Pathumthani 12000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kiattisak","family":"Maichalernnukul","sequence":"additional","affiliation":[{"name":"College of Information and Communication Technology, Rangsit University, Pathumthani 12000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,3,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Varshney, L. (2008, January 6\u201311). Transporting information and energy simultaneously. Proceedings of the IEEE International Symposium on Information Theory, Toronto, ON, Canada.","DOI":"10.1109\/ISIT.2008.4595260"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Grover, P., and Sahai, A. (2010, January 13\u201318). Shannon meets Tesla: Wireless information and power transfer. Proceedings of the IEEE International Symposium on Information Theory, Austin, TX, USA.","DOI":"10.1109\/ISIT.2010.5513714"},{"key":"ref_3","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_4","doi-asserted-by":"crossref","first-page":"1989","DOI":"10.1109\/TWC.2013.031813.120224","article-title":"MIMO broadcasting for simultaneous wireless information and power transfer","volume":"12","author":"Zhang","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"5972","DOI":"10.1109\/TSP.2013.2281026","article-title":"Simultaneous information and power for broadband wireless systems","volume":"61","author":"Huang","year":"2013","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_6","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_7","doi-asserted-by":"crossref","first-page":"5781","DOI":"10.1109\/TWC.2014.2341233","article-title":"Joint wireless information and energy transfer in a k-user MIMO interference channel","volume":"13","author":"Park","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"6249","DOI":"10.1109\/TSP.2014.2355781","article-title":"Wireless information and energy transfer in multi-antenna interference channel","volume":"62","author":"Shen","year":"2014","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_9","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_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11277-015-2874-4","article-title":"Wireless information and power transfer: Optimal power control in one-way and two-way relay system","volume":"84","author":"Yang","year":"2015","journal-title":"Wirel. Pers. Commun."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"4237","DOI":"10.1109\/TWC.2012.102612.111482","article-title":"Performance analysis of two-step bi-directional relaying with multiple antennas","volume":"11","author":"Eslamifar","year":"2012","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1109\/JSAC.2012.120904","article-title":"A tutorial on the optimization of amplify-and-forward MIMO relay systems","volume":"30","author":"Sanguinetti","year":"2012","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"6421","DOI":"10.1109\/TIT.2013.2271632","article-title":"Multiple-input multiple-output two-way relaying: A space-division approach","volume":"59","author":"Yuan","year":"2013","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1109\/TCOMM.2013.122013.130239","article-title":"Joint optimization of source precoding and relay beamforming in wireless MIMO relay networks","volume":"62","author":"Rashid","year":"2014","journal-title":"IEEE Trans. Commun."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1561","DOI":"10.1049\/iet-com.2014.0748","article-title":"Diversity achieving schemes for two-way multi-antenna relay networks in Nakagami-m fading","volume":"9","author":"Sheikh","year":"2015","journal-title":"IET Commun."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5509","DOI":"10.1109\/TWC.2014.2321763","article-title":"Beamforming in non-regenerative two-way multi-antenna relay networks for simultaneous wireless information and power transfer","volume":"13","author":"Li","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Farazi, S., Brown, D.R., and Klein, A.G. (2015, January 8\u201311). Power allocation for three-phase two-way relay networks with simultaneous wireless information and power transfer. Proceedings of the Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, USA.","DOI":"10.1109\/ACSSC.2015.7421247"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"7285","DOI":"10.1109\/TVT.2015.2490159","article-title":"Beamforming design for OSTBC-based AF-MIMO two-way relay networks with simultaneous wireless information and power transfer","volume":"65","author":"Zhang","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Dohler, M., and Li, Y. (2010). Cooperative Communications: Hardware, Channel & PHY, Wiley.","DOI":"10.1002\/9780470740071"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1145\/1111322.1111337","article-title":"Network coding: An instant primer","volume":"36","author":"Fragouli","year":"2006","journal-title":"ACM SIGCOMM Comput. Commun. Rev."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1456","DOI":"10.1109\/18.771146","article-title":"Space-time block codes from orthogonal designs","volume":"45","author":"Tarokh","year":"1999","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_22","unstructured":"Simon, M.K., and Alouini, M.-S. (2000). Digital Communication over Fading Channels: A Unified Approach to Performance Analysis, Wiley."},{"key":"ref_23","unstructured":"Gradshteyn, S., and Ryzhik, I.M. (2000). Table of Integrals, Series, and Products, Academic Press."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Arti, M.K., Mallik, R.K., and Schober, R. (2013, January 2\u20135). Channel estimation and decoding of OSTBC in two-way AF MIMO relay networks. Proceedings of the IEEE Vehicular Technology Conference, Las Vegas, NV, USA.","DOI":"10.1109\/VTCFall.2013.6692129"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"3276","DOI":"10.1109\/TVT.2014.2301812","article-title":"Joint semi-blind channel estimation and synchronization in two-way relay networks","volume":"63","author":"Zhao","year":"2014","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2008","DOI":"10.1109\/TIT.2011.2112070","article-title":"Performance analysis of ZF and MMSE equalizers for MIMO systems: An in-depth study of the high SNR regime","volume":"57","author":"Jiang","year":"2011","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_27","unstructured":"Proakis, J.G., and Salehi, M. (2008). Digital Communications, McGraw-Hill. [5th ed.]."},{"key":"ref_28","unstructured":"Papoulis, A. (1991). Probability, Random Variables and Stochastic Processes, McGraw-Hill. [3rd ed.]."},{"key":"ref_29","first-page":"328","article-title":"Performance analysis and comparison of time-hopping and direct-sequence UWB-MIMO systems","volume":"2005","author":"Siriwongpairat","year":"2005","journal-title":"EURASIP J. Appl. Signal Process."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/s12243-015-0481-8","article-title":"Performance analysis of a MIMO-RFID system in Nakagami-m fading channels","volume":"71","author":"Maichalernnukul","year":"2016","journal-title":"Ann. Telecommun."},{"key":"ref_31","unstructured":"Rayleigh_Distribution. Available online: https:\/\/en.wikipedia.org\/wiki\/Rayleigh_distribution."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3269","DOI":"10.1109\/TWC.2014.041714.131688","article-title":"Joint transmit beamforming and receive power splitting for MISO SWIPT systems","volume":"13","author":"Shi","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2189","DOI":"10.1109\/LSP.2015.2464082","article-title":"An efficiency maximization design for SWIPT","volume":"22","author":"Vu","year":"2015","journal-title":"IEEE Signal Process. Lett."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/3\/42\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:30:35Z","timestamp":1760207435000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/3\/42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,16]]},"references-count":33,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2017,3]]}},"alternative-id":["sym9030042"],"URL":"https:\/\/doi.org\/10.3390\/sym9030042","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2017,3,16]]}}}