{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T04:39:19Z","timestamp":1772771959880,"version":"3.50.1"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T00:00:00Z","timestamp":1649030400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T00:00:00Z","timestamp":1649030400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100011421","name":"State Key Laboratory of Millimeter Waves","doi-asserted-by":"publisher","award":["K202208"],"award-info":[{"award-number":["K202208"]}],"id":[{"id":"10.13039\/501100011421","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Wireless Netw"],"published-print":{"date-parts":[[2022,7]]},"DOI":"10.1007\/s11276-022-02961-7","type":"journal-article","created":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T09:03:07Z","timestamp":1649062987000},"page":"1935-1947","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Joint beamforming and power allocation for intelligent reflecting surface-aided millimeter wave MIMO systems"],"prefix":"10.1007","volume":"28","author":[{"given":"Guang-Hui","family":"Li","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9866-0194","authenticated-orcid":false,"given":"Dian-Wu","family":"Yue","sequence":"additional","affiliation":[]},{"given":"Feng","family":"Qi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,4,4]]},"reference":[{"key":"2961_CR1","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1109\/ACCESS.2013.2260813","volume":"1","author":"TS Rappaport","year":"2013","unstructured":"Rappaport, T. S., et al. (2013). Millimeter wave mobile communications for 5G cellular: It will work! IEEE Access, 1, 335\u2013349.","journal-title":"IEEE Access"},{"issue":"6","key":"2961_CR2","doi-asserted-by":"publisher","first-page":"1065","DOI":"10.1109\/JSAC.2014.2328098","volume":"32","author":"JG Andrews","year":"2014","unstructured":"Andrews, J. G., Buzzi, S., Choi, W., Hanly, S., Lozano, A., Soong, A. C. K., & Zhang, J. C. (2014). What will 5G be? IEEE Journal on Selected Areas in Communications, 32(6), 1065\u20131082.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"issue":"1","key":"2961_CR3","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1109\/MVT.2015.2496240","volume":"11","author":"TE Bogale","year":"2016","unstructured":"Bogale, T. E., & Le, L. B. (2016). Massive MIMO and mmWave for 5G wireless HetNet: Potential benefits and challenges. IEEE Vehicular Technology Magazine, 11(1), 64\u201375.","journal-title":"IEEE Vehicular Technology Magazine"},{"key":"2961_CR4","doi-asserted-by":"crossref","unstructured":"Wu, Q., & Zhang, R. (2018). Intelligent reflecting surface enhanced wireless network: Joint active and passive beamforming design. In Proceedings of IEEE GLOBECOM (pp. 1\u20136).","DOI":"10.1109\/GLOCOM.2018.8647620"},{"issue":"1","key":"2961_CR5","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1109\/MCOM.001.1900107","volume":"58","author":"Q Wu","year":"2020","unstructured":"Wu, Q., & Zhang, R. (2020). Towards smart and reconfigurable environment: Intelligent reflecting surface aided wireless network. IEEE Communications Magazine, 58(1), 106\u2013112.","journal-title":"IEEE Communications Magazine"},{"issue":"10","key":"2961_CR6","doi-asserted-by":"publisher","first-page":"2746","DOI":"10.1109\/TSP.2018.2816577","volume":"66","author":"S Hu","year":"2018","unstructured":"Hu, S., Rusek, F., & Edfors, O. (2018). Beyond massive MIMO: The potential of data transmission with large intelligent surfaces. IEEE Transactions on Signal Processing, 66(10), 2746\u20132758.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2961_CR7","unstructured":"Zhao, J. (2019). A survey of intelligent reflecting surfaces (IRSs): Towards 6G wireless communication networks. arXiv:1907.04789."},{"key":"2961_CR8","doi-asserted-by":"crossref","unstructured":"Mishra, D., & Johansson, H. (2019). Channel estimation and low-complexity beamforming design for passive intelligent surface assisted MISO wireless energy transfer. In Proceedings of IEEE ICASSP (pp. 4659\u20134663).","DOI":"10.1109\/ICASSP.2019.8683663"},{"key":"2961_CR9","doi-asserted-by":"crossref","unstructured":"Tan, X., Sun, Z., Jornet, J. M., & Pados, D. (2016). Increasing indoor spectrum sharing capacity using smart reflect-array. In Proceedings of IEEE ICC (pp. 1\u20136).","DOI":"10.1109\/ICC.2016.7510962"},{"key":"2961_CR10","doi-asserted-by":"crossref","unstructured":"Chen, J., Liang, Y.-C., Pei, Y., & Guo, H. (2019). Intelligent reflecting surface: A programmable wireless environment for physical layer security. IEEE Access, 7, 82 599-82612.","DOI":"10.1109\/ACCESS.2019.2924034"},{"key":"2961_CR11","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1109\/OJCOMS.2020.2992791","volume":"1","author":"Q Nadeem","year":"2020","unstructured":"Nadeem, Q., Alwazani, H., Kammoun, A., Chaaban, A., Debbah, M., & Alouini, M. (2020). Intelligent reflecting surface-assisted multi-user MISO communication: Channel estimation and beamforming design. IEEE Open Journal of the Communications Society, 1, 661\u2013680.","journal-title":"IEEE Open Journal of the Communications Society"},{"issue":"2","key":"2961_CR12","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1109\/LWC.2019.2948632","volume":"9","author":"Z He","year":"2020","unstructured":"He, Z., & Yuan, X. (2020). Cascaded channel estimation for large intelligent metasurface assisted massive MIMO. IEEE Wireless Communications, 9(2), 210\u2013214.","journal-title":"IEEE Wireless Communications"},{"key":"2961_CR13","doi-asserted-by":"crossref","unstructured":"Guo, H., Liang, Y. -C., Chen, J., & Larsson, E. G. (2019). Weighted Sum-Rate Maximization for Intelligent Reflecting Surface Enhanced Wireless Networks. In Proceedings of IEEE GLOBECOM (pp. 1\u20136).","DOI":"10.1109\/GLOBECOM38437.2019.9013288"},{"key":"2961_CR14","doi-asserted-by":"crossref","unstructured":"Fu, M., Zhou, Y., & Shi, Y. (2019). Intelligent reflecting surface for downlink non-orthogonal multiple access networks. In Proceedings of  IEEE GC Wkshps: Waikoloa, HI, USA (pp. 1\u20136).","DOI":"10.1109\/GCWkshps45667.2019.9024675"},{"key":"2961_CR15","doi-asserted-by":"crossref","unstructured":"Tan, X., Sun, Z., Koutsonikolas, D., & Jornet, J. M. (2018). Enabling indoor mobile millimeter-wave networks based on smart reflect-arrays. In Proceedings of IEEE INFOCOM (pp. 1\u20136).","DOI":"10.1109\/INFOCOM.2018.8485924"},{"key":"2961_CR16","doi-asserted-by":"crossref","unstructured":"Hu, S., Rusek, F., & Edfors, O. (2018). Beyond massive MIMO: The potential of data transmission with large intelligent surfaces. IEEE Transactions on Signal Processing, 66(10), 2746\u20132758.","DOI":"10.1109\/TSP.2018.2816577"},{"key":"2961_CR17","doi-asserted-by":"publisher","first-page":"116753","DOI":"10.1109\/ACCESS.2019.2935192","volume":"7","author":"E Basar","year":"2019","unstructured":"Basar, E., Di Renzo, M., De Rosny, J., Debbah, M., Alouini, M., & Zhang, R. (2019). Wireless communications through reconfigurable intelligent surfaces. IEEE Access, 7, 116753\u2013116773.","journal-title":"IEEE Access"},{"key":"2961_CR18","doi-asserted-by":"crossref","unstructured":"\u00f6zdogan, \u00d6., Bj\u00f6rnson, E., & Larsson, E. G. (2020). Intelligent reflecting surfaces: Physics, propagation, and pathloss modeling. IEEE Wireless Communications, 9(5), 581\u2013585.","DOI":"10.1109\/LWC.2019.2960779"},{"issue":"2","key":"2961_CR19","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1109\/LWC.2019.2947445","volume":"9","author":"M Badiu","year":"2020","unstructured":"Badiu, M., & Coon, J. P. (2020). Communication through a large reflecting surface with phase errors. IEEE Wireless Communications, 9(2), 184\u2013188.","journal-title":"IEEE Wireless Communications"},{"key":"2961_CR20","doi-asserted-by":"publisher","first-page":"20768","DOI":"10.1109\/ACCESS.2021.3053773","volume":"9","author":"FAP de Figueiredo","year":"2021","unstructured":"de Figueiredo, F. A. P., et al. (2021). Large intelligent surfaces with discrete set of phase-shifts communicating through double-rayleigh fading channels. IEEE Access, 9, 20768\u201320787.","journal-title":"IEEE Access"},{"key":"2961_CR21","doi-asserted-by":"crossref","unstructured":"Wu, Q., & Zhang, R. (2019). Beamforming optimization for intelligent reflecting surface with discrete phase shifts. In Proceedings of IEEE ICASSP: Brighton, United Kingdom (pp. 7830\u20137833).","DOI":"10.1109\/ICASSP.2019.8683145"},{"key":"2961_CR22","unstructured":"Wang, P., Fang, J., & Li, H. (2019). Joint beamforming for intelligent reflecting surface-assisted millimeter wave communications. arXiv:1910.08541."},{"key":"2961_CR23","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1038\/scientificamerican0792-66","volume":"267","author":"JH Holland","year":"1992","unstructured":"Holland, J. H. (1992). Genetic algorithms. Scientific American, 267, 66\u201372. https:\/\/doi.org\/10.1038\/scientificamerican0792-66","journal-title":"Scientific American"},{"key":"2961_CR24","doi-asserted-by":"crossref","unstructured":"Taha, A., Alrabeiah, M., & Alkhateeb, A. (2019). Deep learning for large intelligent surfaces in millimeter wave and massive MIMO systems. In Proceedings of IEEE GLOBECOM (pp. 1\u20136).","DOI":"10.1109\/GLOBECOM38437.2019.9013256"},{"key":"2961_CR25","doi-asserted-by":"crossref","unstructured":"Chen, W., Ma, X., Li, Z., & Kuang, N. (2019). Sum-rate maximization for intelligent reflecting surface based terahertz communication systems. In Proceedings of IEEE ICCC Workshops (pp. 1\u20136).","DOI":"10.1109\/ICCChinaW.2019.8849960"},{"issue":"11","key":"2961_CR26","doi-asserted-by":"publisher","first-page":"6481","DOI":"10.1109\/TWC.2015.2455980","volume":"14","author":"A Alkhateeb","year":"2015","unstructured":"Alkhateeb, A., Leus, G., & Heath, R. W. (2015). Limited feedback hybrid precoding for multi-user millimeter wave systems. IEEE Transactions on Wireless Communications, 14(11), 6481\u20136494.","journal-title":"IEEE Transactions on Wireless Communications"},{"key":"2961_CR27","unstructured":"5G Channel Model for bands up to 100 GHz. (2016). http:\/\/www.5gworkshops.com\/5GCM.html."},{"issue":"3","key":"2961_CR28","first-page":"485","volume":"10","author":"X Yu","year":"2016","unstructured":"Yu, X., Shen, J., Zhang, J., & Letaief, K. B. (2016). Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems. IEEE JSTSP, 10(3), 485\u2013500.","journal-title":"IEEE JSTSP"},{"key":"2961_CR29","doi-asserted-by":"crossref","unstructured":"Yu, X., Xu, D., & Schober, R. (2019). Enabling secure wireless communications via intelligent reflecting surfaces. In Proceedings of IEEE GLOBECOM (pp. 1\u20136).","DOI":"10.1109\/GLOBECOM38437.2019.9014322"},{"issue":"1","key":"2961_CR30","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1109\/TCOMM.2015.2502954","volume":"64","author":"W Ni","year":"2016","unstructured":"Ni, W., & Dong, X. (2016). Hybrid block diagonalization for massive multiuser MIMO systems. IEEE Transactions on Communications, 64(1), 201\u2013211.","journal-title":"IEEE Transactions on Communications"},{"issue":"6","key":"2961_CR31","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1109\/LWC.2014.2363831","volume":"3","author":"L Liang","year":"2014","unstructured":"Liang, L., Xu, W., & Dong, X. (2014). Low-complexity hybrid precoding in massive multiuser MIMO systems. IEEE Wireless Communications, 3(6), 653\u2013656.","journal-title":"IEEE Wireless Communications"},{"issue":"1","key":"2961_CR32","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1002\/nav.3800040113","volume":"4","author":"Clifford Hildreth","year":"1957","unstructured":"Hildreth, Clifford. (1957). A quadratic programming procedure. Naval Research Logistics Quarterly, 4(1), 79\u201385.","journal-title":"Naval Research Logistics Quarterly"},{"key":"2961_CR33","doi-asserted-by":"crossref","unstructured":"Neumann, J. Von. (1949). On rings of operators. reduction theory. Annals of Mathematics, 50(2), 401\u2013485.","DOI":"10.2307\/1969463"},{"issue":"2","key":"2961_CR34","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/BF01027691","volume":"1","author":"Heinz H Bauschke","year":"1993","unstructured":"Bauschke, Heinz H., & Borwein, Jonathan M. (1993). On the convergence of von Neumann\u2019s alternating projection algorithm for two sets. Set-Valued Analysis, 1(2), 185\u2013212.","journal-title":"Set-Valued Analysis"},{"issue":"1","key":"2961_CR35","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/0898-1221(76)90003-1","volume":"2","author":"D. Gabay","year":"1976","unstructured":"Gabay, D., & Mercier, B. (1976). A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Computers and Mathematics with Applications, 2(1), 17\u201340.","journal-title":"Computers and Mathematics with Applications"},{"key":"2961_CR36","doi-asserted-by":"crossref","unstructured":"Douglas, J., & Rachford, H. H. (1956). On the numerical solution of heat conduction problems in two and three space variables. Transactions of the American Mathematical Society, 82(2), 421\u2013439.","DOI":"10.1090\/S0002-9947-1956-0084194-4"},{"key":"2961_CR37","doi-asserted-by":"publisher","first-page":"17361","DOI":"10.1109\/ACCESS.2018.2819197","volume":"6","author":"J.-C. Chen","year":"2018","unstructured":"Chen, J.-C.. (2018). Energy-efficient hybrid precoding design for millimeter-wave massive MIMO systems via coordinate update algorithms. IEEE Access, 6, 17361\u201317367.","journal-title":"IEEE Access"},{"issue":"13\u201314","key":"2961_CR38","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1080\/00207720412331303679","volume":"35","author":"Y Hong","year":"2004","unstructured":"Hong, Y., & Dong, Z. (2004). Genetic algorithms with applications in wireless communications. International Journal of Systems Science, 35(13\u201314), 751\u2013762.","journal-title":"International Journal of Systems Science"},{"key":"2961_CR39","unstructured":"Buzzi, S., & D\u2019Andrea, C. (2016). On clustered statistical MIMO millimeter wave channel simulation. arXiv:1604.00648."},{"key":"2961_CR40","doi-asserted-by":"publisher","first-page":"75482","DOI":"10.1109\/ACCESS.2018.2882003","volume":"6","author":"J Li","year":"2018","unstructured":"Li, J., Yue, D., & Sun, Y. (2018). Performance analysis of millimeter wave massive MIMO systems in centralized and distributed schemes. IEEE Access, 6, 75482\u201375494.","journal-title":"IEEE Access"},{"key":"2961_CR41","doi-asserted-by":"crossref","unstructured":"Bj\u00f6rnson, E., \u00f6zdogan, \u00d6., & Larsson, E. G. (2020). Intelligent reflecting surface versus decode-and-forward: How large surfaces are needed to beat relaying?. IEEE Wireless Communications Letters, 9(2), 244\u2013248.","DOI":"10.1109\/LWC.2019.2950624"}],"container-title":["Wireless Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11276-022-02961-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11276-022-02961-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11276-022-02961-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,4]],"date-time":"2022-06-04T06:15:10Z","timestamp":1654323310000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11276-022-02961-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,4]]},"references-count":41,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2022,7]]}},"alternative-id":["2961"],"URL":"https:\/\/doi.org\/10.1007\/s11276-022-02961-7","relation":{},"ISSN":["1022-0038","1572-8196"],"issn-type":[{"value":"1022-0038","type":"print"},{"value":"1572-8196","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4,4]]},"assertion":[{"value":"17 March 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 April 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}