{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:10:54Z","timestamp":1760242254870,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,9]],"date-time":"2017-03-09T00:00:00Z","timestamp":1489017600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51509049"],"award-info":[{"award-number":["51509049"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities of China","doi-asserted-by":"publisher","award":["GK2080260140"],"award-info":[{"award-number":["GK2080260140"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National key research and development program","doi-asserted-by":"publisher","award":["2016YFF0102806"],"award-info":[{"award-number":["2016YFF0102806"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Device-to-device (D2D) communications bring significant improvements of spectral efficiency by underlaying cellular networks. However, they also lead to a more deteriorative interference environment for cellular users, especially the users in severely deep fading or shadowing. In this paper, we investigate a relay-based communication scheme in cellular systems, where the D2D communications are exploited to aid the cellular downlink transmissions by acting as relay nodes with underlaying cellular networks. We modeled two-antenna infrastructure relays employed for D2D relay. The D2D transmitter is able to transmit and receive signals simultaneously over the same frequency band. Then we proposed an efficient power allocation algorithm for the base station (BS) and D2D relay to reduce the loopback interference which is inherent due to the two-antenna infrastructure in full-duplex (FD) mode. We derived the optimal power allocation problem in closed form under the independent power constraint. Simulation results show that the algorithm reduces the power consumption of D2D relay to the greatest extent and also guarantees cellular users\u2019 minimum transmit rate. Moreover, it also outperforms the existing half-duplex (HD) relay mode in terms of achievable rate of D2D.<\/jats:p>","DOI":"10.3390\/sym9030038","type":"journal-article","created":{"date-parts":[[2017,3,9]],"date-time":"2017-03-09T11:12:17Z","timestamp":1489057937000},"page":"38","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Transmission Power Adaption for Full-Duplex Relay-Aided Device-to-Device Communication"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0652-8389","authenticated-orcid":false,"given":"Hui","family":"Dun","sequence":"first","affiliation":[{"name":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang Province, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fang","family":"Ye","sequence":"additional","affiliation":[{"name":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang Province, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yibing","family":"Li","sequence":"additional","affiliation":[{"name":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang Province, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,3,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1109\/MCOM.2014.6807945","article-title":"An overview of 3GPP device-to-device proximity services","volume":"52","author":"Lin","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1801","DOI":"10.1109\/COMST.2014.2319555","article-title":"A survey on device-to-device communication in cellular networks","volume":"16","author":"Asadi","year":"2014","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1109\/MCOM.2009.5350367","article-title":"Device-to device communication as an underlay to LTE-Advanced networks","volume":"47","author":"Doppler","year":"2009","journal-title":"IEEE Commun. Mag."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/MWC.2010.5675775","article-title":"Toward proximity-aware internetworking","volume":"17","author":"Corson","year":"2010","journal-title":"IEEE Wirel. Commun. Mag."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1109\/MVT.2012.2234052","article-title":"Solving the data overload: Device-to-device bearer control architecture for cellular data offloading","volume":"8","author":"Yang","year":"2013","journal-title":"IEEE Veh. Technol. Mag."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1109\/MWC.2013.6590055","article-title":"Resource allocation for device-to-device communications underlaying LTE-Advanced networks","volume":"20","author":"Phunchongharn","year":"2013","journal-title":"IEEE Wirel. Commun. Mag."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1109\/MCOM.2014.6807946","article-title":"Device-to-device communications in cellular networks","volume":"52","author":"Feng","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2752","DOI":"10.1109\/TWC.2011.060811.102120","article-title":"Resource sharing optimization for device-to-device communication underlaying cellular networks","volume":"10","author":"Yu","year":"2011","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3814","DOI":"10.1109\/TCOMM.2014.2363092","article-title":"Joint mode selection and resource allocation for device-to-device communications","volume":"62","author":"Yu","year":"2014","journal-title":"IEEE Trans. Commun."},{"key":"ref_10","unstructured":"Ye, Q., Al-Shalash, M., Caramanis, C., and Andrews, J.G. (2013, January 9\u201313). Device-to-device modeling and analysis with a modified Matern hardcore BS location model. Proceedings of the IEEE GLOBECOM, Atlanta, GA, USA."},{"key":"ref_11","unstructured":"Lin, X., and Andrews, J.G. (2013, January 9\u201313). Optimal spectrum partition and mode selection in device-to-device overlaid cellular networks. Proceedings of the IEEE GLOBECOM, Atlanta, GA, USA."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1109\/TWC.2011.122010.100963","article-title":"Reliability improvement using receive mode selection in the device-to-device uplink period underlaying cellular networks","volume":"10","author":"Min","year":"2011","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"6119","DOI":"10.1109\/TVT.2015.2472995","article-title":"Energy-Efficient Joint Resource Allocation and Power Control for D2D Communications","volume":"65","author":"Jiang","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Hakola, S., Chen, T., Lehtom, J., and Koskela, T. (2010, January 18\u201321). Device-to-device (D2D) communication in cellular network\u2013performance analysis of optimum and practical communication mode selection. Proceedings of the IEEE Wireless Communications and Networking Conference, Sydney, Australia.","DOI":"10.1109\/WCNC.2010.5506133"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Janis, P., Koivunen, V., Ribeiro, C., Korhonen, J., Doppler, K., and Hugl, K. (2009, January 26\u201329). Interference-aware resource allocation for device-to-device radio underlaying cellular networks. Proceedings of the IEEE 69th Vehicular Technology Conference Spring, Barcelona, Spain.","DOI":"10.1109\/VETECS.2009.5073611"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1398","DOI":"10.1109\/LCOMM.2015.2444403","article-title":"Resource Allocation for Device-to-Device Communication Underlaying Cellular Networks: An Alternating Optimization Method","volume":"19","author":"Zhao","year":"2015","journal-title":"IEEE Commun. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Xu, S., Wang, H., Chen, T., Huang, Q., and Peng, T. (2010, January 6\u20139). Effective interference cancellation scheme for device-to-device communication underlaying cellular networks. Proceedings of the IEEE Vehicular Technology Conference Fall, Ottawa, ON, Canada.","DOI":"10.1109\/VETECF.2010.5594601"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1471","DOI":"10.1109\/TNET.2014.2329956","article-title":"Exploiting social ties for cooperative D2D communications: A mobile social networking case","volume":"23","author":"Chen","year":"2015","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3062","DOI":"10.1109\/TIT.2004.838089","article-title":"Cooperative Diversity in Wireless Networks: Efficient Protocols and Outage Behavior","volume":"50","author":"Laneman","year":"2004","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Zheng, D., He, C., Jiang, L., Ding, J., and Zhang, Q. (2015, January 8\u201312). Power Optimization for D2D Communication Based on Rate Requirement in Relay-Assisted Networks. Proceedings of the 2015 IEEE International Conference on Communication Workshop (ICCW), London, UK.","DOI":"10.1109\/ICCW.2015.7247261"},{"key":"ref_21","unstructured":"Han, Y., Pandharipande, A., and Ho Ting, S. (2013, January 11\u201313). Cooperative Spectrum Sharing via Controlled Amplify-and-Forward Relaying. Proceedings of the IEEE Wireless Communications and Networking Conference (WCNC), Singapore."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"3611","DOI":"10.1109\/TWC.2013.061713.121956","article-title":"Resource allocation for device-to-device communications overlaying two-way cellular networks","volume":"12","author":"Pei","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"2315","DOI":"10.1109\/TVT.2012.2237557","article-title":"Intracluster device-to-device relay algorithm with optimal resource utilization","volume":"62","author":"Zhou","year":"2013","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Zhao, M., Gu, X., Wu, D., and Ren, L. (2016, January 3\u20136). A Two-Stages Relay Selection and Resource Allocation Joint Method for D2D Communication System. Proceedings of the IEEE Wireless Communications and Networking Conference (WCNC), Doha, Qatar.","DOI":"10.1109\/WCNC.2016.7565070"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"4945","DOI":"10.1109\/TWC.2009.081484","article-title":"Cooperative Decode-and-Forward Relaying for Secondary Spectrum Access","volume":"8","author":"Han","year":"2009","journal-title":"IEEE Trans Wirel. Commun."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2345","DOI":"10.1007\/s11276-015-0920-5","article-title":"Efficient power control for half-duplex relay based D2D networks under sum power constraints","volume":"21","author":"Zhang","year":"2015","journal-title":"Wirel. Netw."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"4911","DOI":"10.1109\/TVT.2014.2373053","article-title":"Power Allocation for Full-Duplex Relaying-Based D2D Communication Underlaying Cellular Networks","volume":"64","author":"Zhang","year":"2015","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"3074","DOI":"10.1109\/TWC.2011.071411.102266","article-title":"Hybrid full-duplex\/half-duplex relaying with transmit power adaptation","volume":"10","author":"Riihonen","year":"2011","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1109\/LWC.2014.2338318","article-title":"An Iterative Hungarian Method to Joint Relay Selection and Resource Allocation for D2D Communications","volume":"3","author":"Kim","year":"2014","journal-title":"IEEE Wirel. Commun. Lett."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/3\/38\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:30:05Z","timestamp":1760207405000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/3\/38"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,9]]},"references-count":29,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2017,3]]}},"alternative-id":["sym9030038"],"URL":"https:\/\/doi.org\/10.3390\/sym9030038","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2017,3,9]]}}}