{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:57:49Z","timestamp":1760147869232,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,9]],"date-time":"2023-03-09T00:00:00Z","timestamp":1678320000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"FCT\/MCTES","doi-asserted-by":"publisher","award":["UIDB\/50008\/2020-UIDP\/50008\/2020","POCI-01-0247-FEDER-072224"],"award-info":[{"award-number":["UIDB\/50008\/2020-UIDP\/50008\/2020","POCI-01-0247-FEDER-072224"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fundo Europeu de Desenvolvimento Regional (FEDER)","award":["UIDB\/50008\/2020-UIDP\/50008\/2020","POCI-01-0247-FEDER-072224"],"award-info":[{"award-number":["UIDB\/50008\/2020-UIDP\/50008\/2020","POCI-01-0247-FEDER-072224"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Future Internet"],"abstract":"<jats:p>The current 5G-NR standard includes the transmission of multiple synchronization signal blocks (SSBs) in different directions to be exploited in beamforming techniques. However, choosing a pair of these beams leads to performance degradation, mainly for the cases where the transmit and receive beams are not aligned, because it considers that only few fixed directions among wide beams are established. Therefore, in this article, we design a new 3GPP-standard- compliant beam pair selection algorithm based on secondary synchronization signal (SSS) angle estimation (BSAE) that makes use of multiple synchronization signal blocks (SSBs) to maximize the reference signal received power (RSRP) value at the receiver. This optimization is performed using the SSSs present in each SSB to perform channel estimation in the digital domain. Afterwards, the combination of those estimations is used to perform equivalent channel propagation matrix estimation without the analog processing effects. Finally, through the estimated channel propagation matrix, the angle that maximizes the RSRP is determined to compute the most suitable beam. The proposed algorithm was evaluated and compared with a conventional beam pair selection algorithm. Ours has better performance results. Furthermore, the proposed algorithm achieved performance close to the optimal performance, where all channel state information (CSI) is available, emphasizing the interest of the proposed approach for practical 5G mmWave mMIMO implementations.<\/jats:p>","DOI":"10.3390\/fi15030105","type":"journal-article","created":{"date-parts":[[2023,3,9]],"date-time":"2023-03-09T02:01:47Z","timestamp":1678327307000},"page":"105","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Beamforming Based on a SSS Angle Estimation Algorithm for 5G NR Networks"],"prefix":"10.3390","volume":"15","author":[{"given":"Daniel","family":"Andrade","sequence":"first","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es (IT) and Departamento de Eletr\u00f3nica, Telecomunica\u00e7\u00f5es e Inform\u00e1tica (DETI), University of Aveiro, 3810-193 Aveiro, Portugal"},{"name":"Allbesmart LDA, Avenida do Empres\u00e1rio, Centro de Empresas Inovadoras 1, 6000-767 Castelo Branco, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roberto","family":"Magueta","sequence":"additional","affiliation":[{"name":"Allbesmart LDA, Avenida do Empres\u00e1rio, Centro de Empresas Inovadoras 1, 6000-767 Castelo Branco, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7008-6773","authenticated-orcid":false,"given":"Ad\u00e3o","family":"Silva","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es (IT) and Departamento de Eletr\u00f3nica, Telecomunica\u00e7\u00f5es e Inform\u00e1tica (DETI), University of Aveiro, 3810-193 Aveiro, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paulo","family":"Marques","sequence":"additional","affiliation":[{"name":"Allbesmart LDA, Avenida do Empres\u00e1rio, Centro de Empresas Inovadoras 1, 6000-767 Castelo Branco, Portugal"},{"name":"Instituto Polit\u00e9cnico de Castelo Branco (IPCB), Avenida Pedro \u00c1lvares Cabral 12, 6000-084 Castelo Branco, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,9]]},"reference":[{"key":"ref_1","unstructured":"3GPP (2022, December 08). 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