{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T15:30:36Z","timestamp":1772119836175,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,6,17]],"date-time":"2023-06-17T00:00:00Z","timestamp":1686960000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,6,17]],"date-time":"2023-06-17T00:00:00Z","timestamp":1686960000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["3072022CF0801"],"award-info":[{"award-number":["3072022CF0801"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Wireless Pers Commun"],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1007\/s11277-023-10449-6","type":"journal-article","created":{"date-parts":[[2023,6,17]],"date-time":"2023-06-17T03:01:31Z","timestamp":1686970891000},"page":"623-637","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Digital Joint Equivalent Channel Hybrid Precoding for Millimeter Wave Massive MIMO Systems"],"prefix":"10.1007","volume":"131","author":[{"given":"Linyu","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2927-1854","authenticated-orcid":false,"given":"Mingjun","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianhong","family":"Xiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanyu","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,6,17]]},"reference":[{"key":"10449_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. https:\/\/doi.org\/10.1109\/ACCESS.2013.2260813","journal-title":"IEEE Access"},{"issue":"8","key":"10449_CR2","first-page":"7","volume":"60","author":"J Zhang","year":"2017","unstructured":"Zhang, J., Tang, P., Tian, L., Hu, Z., Wang, T., & Wang, H. (2017). 6\u2013100 GHz research progress and challenges from a channel perspective for fifth generation (5G) and future wireless communication. Science China (Information Sciences), 60(8), 7\u201324.","journal-title":"Science China (Information Sciences)"},{"issue":"6","key":"10449_CR3","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1109\/MCOM.2011.5783993","volume":"49","author":"Z Pi","year":"2011","unstructured":"Pi, Z., & Khan, F. (2011). An introduction to millimeter-wave mobile broadband systems. IEEE Communications Magazine, 49(6), 101\u2013107. https:\/\/doi.org\/10.1109\/MCOM.2011.5783993","journal-title":"IEEE Communications Magazine"},{"key":"10449_CR4","doi-asserted-by":"publisher","first-page":"6795","DOI":"10.1109\/ACCESS.2018.2793223","volume":"6","author":"Z Zhou","year":"2018","unstructured":"Zhou, Z., Ge, N., Wang, Z., & Chen, S. (2018). Hardware-efficient hybrid precoding for millimeter wave systems with multi-feed reflectarrays. IEEE Access, 6, 6795\u20136806. https:\/\/doi.org\/10.1109\/ACCESS.2018.2793223","journal-title":"IEEE Access"},{"issue":"2","key":"10449_CR5","doi-asserted-by":"publisher","first-page":"49","DOI":"10.12676\/j.cc.2019.02.003","volume":"16","author":"M Cui","year":"2019","unstructured":"Cui, M., & Zou, W. (2019). Low complexity joint hybrid precoding for millimeter wave MIMO systems. China Communications, 16(2), 49\u201358. https:\/\/doi.org\/10.12676\/j.cc.2019.02.003","journal-title":"China Communications"},{"key":"10449_CR6","doi-asserted-by":"publisher","unstructured":"Rohatgi, A., & Rawat, M. (2018). Modified low complexity precoding algorithm for millimeter wave MIMO systems. In Second International Conference on Intelligent Computing and Control Systems (ICICCS) (pp. 1066\u20131069). https:\/\/doi.org\/10.1109\/ICCONS.2018.8662941","DOI":"10.1109\/ICCONS.2018.8662941"},{"issue":"3","key":"10449_CR7","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1137\/S0036144593251710","volume":"38","author":"HH Bauschke","year":"1996","unstructured":"Bauschke, H. H., & Borwein, J. M. (1996). On projection algorithms for solving convex feasibility problems. SIAM Review, 38(3), 367\u2013426.","journal-title":"SIAM Review"},{"issue":"3","key":"10449_CR8","doi-asserted-by":"publisher","first-page":"1499","DOI":"10.1109\/TWC.2014.011714.130846","volume":"13","author":"O El Ayach","year":"2014","unstructured":"El Ayach, O., Rajagopal, S., Abu-Surra, S., et al. (2014). Spatially sparse precoding in millimeter wave MIMO systems. IEEE Transactions on Wireless Communications, 13(3), 1499\u20131513.","journal-title":"IEEE Transactions on Wireless Communications"},{"issue":"3","key":"10449_CR9","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1109\/JSTSP.2016.2523903","volume":"10","author":"X Yu","year":"2016","unstructured":"Yu, X., Shen, J. C., Zhang, J., et al. (2016). Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems. IEEE Journal of Selected Topics in Signal Processing, 10(3), 485\u2013500.","journal-title":"IEEE Journal of Selected Topics in Signal Processing"},{"issue":"7","key":"10449_CR10","first-page":"1298","volume":"49","author":"LIAO Yong","year":"2021","unstructured":"Yong, L. I. A. O., Xin-yi, Y. A. N. G., & Jie-ru, D. U. (2021). A two-stage based low complexity hybrid precoding algorithm for millimeter-wave massive MIMO. Acta Electronica Sinica, 49(7), 1298\u20131304.","journal-title":"Acta Electronica Sinica"},{"issue":"5","key":"10449_CR11","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1109\/CC.2018.8388000","volume":"15","author":"T Xie","year":"2018","unstructured":"Xie, T., Dai, L., Gao, X., et al. (2018). Geometric mean decomposition based hybrid precoding for millimeter-wave massive MIMO. China Communications, 15(5), 229\u2013238.","journal-title":"China Communications"},{"key":"10449_CR12","doi-asserted-by":"crossref","unstructured":"Wang, S., He, M., Zhang, Y., et al. (2020). Joint hybrid precoding scheme with low complexity for single-user massive MIMO systems. In 2020 International Conferences on Internet of Things (iThings) and IEEE Green Computing and Communications (GreenCom) and IEEE Cyber, Physical and Social Computing (CPSCom) and IEEE Smart Data (SmartData) and IEEE Congress on Cybermatics (Cybermatics) (pp. 175\u2013179). IEEE.","DOI":"10.1109\/iThings-GreenCom-CPSCom-SmartData-Cybermatics50389.2020.00044"},{"issue":"10","key":"10449_CR13","doi-asserted-by":"publisher","first-page":"3791","DOI":"10.1109\/TSP.2005.855398","volume":"53","author":"Y Jiang","year":"2005","unstructured":"Jiang, Y., Li, J., & Hager, W. W. (2005). Joint transceiver design for MIMO communications using geometric mean decomposition. IEEE Transactions on Signal Processing, 53(10), 3791\u20133803.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"10449_CR14","doi-asserted-by":"publisher","DOI":"10.1016\/j.phycom.2021.101287","volume":"47","author":"S Wang","year":"2021","unstructured":"Wang, S., He, M., Zhang, Y., et al. (2021). Equivalent channel-based joint hybrid precoding\/combining for large-scale MIMO systems. Physical Communication, 47, 101287.","journal-title":"Physical Communication"},{"issue":"5","key":"10449_CR15","doi-asserted-by":"publisher","first-page":"684","DOI":"10.1109\/JSAC.2003.810294","volume":"21","author":"A Goldsmith","year":"2003","unstructured":"Goldsmith, A., Jafar, S. A., Jindal, N., et al. (2003). Capacity limits of MIMO channels. IEEE Journal on Selected Areas in Communications, 21(5), 684\u2013702.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"issue":"4","key":"10449_CR16","doi-asserted-by":"publisher","first-page":"1924","DOI":"10.1109\/TVT.2007.897212","volume":"56","author":"A Forenza","year":"2007","unstructured":"Forenza, A., Love, D. J., & Heath, R. W. (2007). Simplified spatial correlation models for clustered MIMO channels with different array configurations. IEEE Transactions on Vehicular Technology, 56(4), 1924\u20131934.","journal-title":"IEEE Transactions on Vehicular Technology"},{"key":"10449_CR17","doi-asserted-by":"publisher","first-page":"95911","DOI":"10.1109\/ACCESS.2021.3093880","volume":"9","author":"M Alouzi","year":"2021","unstructured":"Alouzi, M., Chan, F., & D\u2019Amours, C. (2021). Low complexity hybrid precoding and combining for millimeter wave systems. IEEE Access, 9, 95911\u201395924.","journal-title":"IEEE Access"},{"issue":"3","key":"10449_CR18","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1109\/JSTSP.2016.2520912","volume":"10","author":"F Sohrabi","year":"2016","unstructured":"Sohrabi, F., & Yu, W. (2016). Hybrid digital and analog beamforming design for large-scale antenna arrays. IEEE Journal of Selected Topics in Signal Processing, 10(3), 501\u2013513.","journal-title":"IEEE Journal of Selected Topics in Signal Processing"}],"container-title":["Wireless Personal Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-023-10449-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11277-023-10449-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-023-10449-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,26]],"date-time":"2023-06-26T13:46:08Z","timestamp":1687787168000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11277-023-10449-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,17]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["10449"],"URL":"https:\/\/doi.org\/10.1007\/s11277-023-10449-6","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-1869909\/v1","asserted-by":"object"}]},"ISSN":["0929-6212","1572-834X"],"issn-type":[{"value":"0929-6212","type":"print"},{"value":"1572-834X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6,17]]},"assertion":[{"value":"7 April 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 June 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Authors declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}