{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:17:29Z","timestamp":1760059049490,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T00:00:00Z","timestamp":1747267200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Joint Funds of Liaoning Science and Technology Program","award":["2023JH2\/101800032"],"award-info":[{"award-number":["2023JH2\/101800032"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, the uplink spectral efficiency performance of a massive MIMO system based on full-duplex relay communication is investigated in Rician fading channels. The relay station is equipped with a large number of antennas, while multiple source and destination nodes are located at both ends of the transceiver. Each source and destination node is equipped with a single antenna. The relay station adopts Maximum Ratio Combining\/Maximum Ratio Transmission (MRC\/MRT) and Equal Gain Combining\/Equal Gain Transmission (EGC\/EGT) schemes to perform linear preprocessing on the received signals. Approximate expressions for uplink spectral efficiency under both MRC\/MRT and EGC\/EGT schemes are derived, and the effects of antenna number, signal-to-noise ratio (SNR), and loop interference on spectral efficiency are analyzed. In addition, the impact of full-duplex and half-duplex modes on system performance is compared, and a hybrid relay scheme is proposed to maximize the total spectral efficiency by dynamically switching between full-duplex and half-duplex modes based on varying levels of loop interference. Finally, a novel power allocation scheme is proposed to maximize energy efficiency under given total spectral efficiency and peak power constraints at both the relay and source nodes. The results show that the impact of loop interference can be eliminated by using a massive receive antenna array, leading to the disappearance of inter-pair interference and noise. Under these conditions, the spectral efficiency of the system can be improved up to 2N times, while the transmission power of the user and relay nodes can be reduced to 1\/Nrx and 1\/Ntx, respectively.<\/jats:p>","DOI":"10.3390\/sym17050770","type":"journal-article","created":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T09:58:27Z","timestamp":1747303107000},"page":"770","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Full-Duplex Relaying Systems with Massive MIMO: Equal Gain Approach"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9137-9260","authenticated-orcid":false,"given":"Meng","family":"Wang","sequence":"first","affiliation":[{"name":"School of Information and Communication Engineering, Dalian Minzu University, Dalian 116600, China"},{"name":"Dalian Gona Technology Group Co., Ltd., Dalian 116000, China"},{"name":"College of Information Science and Technology, Dalian Maritime University, Dalian 116026, China"}]},{"given":"Boying","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Dalian Minzu University, Dalian 116600, China"}]},{"given":"Wenqing","family":"Li","sequence":"additional","affiliation":[{"name":"Dalian Gona Technology Group Co., Ltd., Dalian 116000, China"}]},{"given":"Meng","family":"Jin","sequence":"additional","affiliation":[{"name":"Dalian Gona Technology Group Co., Ltd., Dalian 116000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3226-365X","authenticated-orcid":false,"given":"Si-Nian","family":"Jin","sequence":"additional","affiliation":[{"name":"College of Information Science and Technology, Dalian Maritime University, Dalian 116026, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"120","DOI":"10.2307\/1426331","article-title":"Three-terminal communication channels","volume":"3","year":"1971","journal-title":"Adv. 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