{"id":"https://openalex.org/W2899397638","doi":"https://doi.org/10.1109/lwc.2018.2878766","title":"Optimal Hybrid Beamforming for Multiuser Massive MIMO Systems With Individual SINR Constraints","display_name":"Optimal Hybrid Beamforming for Multiuser Massive MIMO Systems With Individual SINR Constraints","publication_year":2018,"publication_date":"2018-10-30","ids":{"openalex":"https://openalex.org/W2899397638","doi":"https://doi.org/10.1109/lwc.2018.2878766","mag":"2899397638"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2018.2878766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2018.2878766","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Wireless Communications Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023217728","display_name":"Guangda Zang","orcid":"https://orcid.org/0000-0003-0844-8507"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guangda Zang","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071987706","display_name":"Ying Cui","orcid":"https://orcid.org/0000-0003-3181-9775"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Cui","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081375588","display_name":"Hei Victor Cheng","orcid":"https://orcid.org/0000-0001-8432-3779"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Hei Victor Cheng","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101807552","display_name":"Feng Yang","orcid":"https://orcid.org/0000-0002-6350-5765"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Yang","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079885035","display_name":"Lianghui Ding","orcid":"https://orcid.org/0000-0002-3231-3613"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianghui Ding","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100387660","display_name":"Hui Liu","orcid":"https://orcid.org/0000-0003-2948-8217"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Liu","raw_affiliation_strings":["Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5023217728"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":1.1588,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.80223839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"8","issue":"2","first_page":"532","last_page":"535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10069","display_name":"Antenna Design and Analysis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.8119165897369385},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7854963541030884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6541856527328491},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.6177448034286499},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5393310785293579},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.511496901512146},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.5037307143211365},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4869433641433716},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.47739189863204956},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4156489074230194},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.4126478135585785},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.40078121423721313},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32771432399749756},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3266298174858093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31787896156311035},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3033793866634369},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.29079991579055786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2472597062587738},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.2338573932647705}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8119165897369385},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7854963541030884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6541856527328491},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.6177448034286499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5393310785293579},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.511496901512146},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.5037307143211365},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4869433641433716},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.47739189863204956},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4156489074230194},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.4126478135585785},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.40078121423721313},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32771432399749756},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3266298174858093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31787896156311035},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3033793866634369},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.29079991579055786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2472597062587738},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.2338573932647705},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lwc.2018.2878766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2018.2878766","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Wireless Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-157749","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-157749","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2123824332","display_name":null,"funder_award_id":"61771309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3838955865","display_name":null,"funder_award_id":"61671301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5337177206","display_name":null,"funder_award_id":"61401272","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5696516221","display_name":null,"funder_award_id":"61420106008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6088092935","display_name":null,"funder_award_id":"61521062","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8714325207","display_name":null,"funder_award_id":"YG2017QN47","funder_id":"https://openalex.org/F4320322999","funder_display_name":"Shanghai Jiao Tong University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322999","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2036672508","https://openalex.org/W2040252051","https://openalex.org/W2082639035","https://openalex.org/W2091706746","https://openalex.org/W2108140817","https://openalex.org/W2109005286","https://openalex.org/W2270735382","https://openalex.org/W2272804037","https://openalex.org/W2577986608","https://openalex.org/W2803125737"],"related_works":["https://openalex.org/W3087844490","https://openalex.org/W3090699061","https://openalex.org/W4387546583","https://openalex.org/W2055634632","https://openalex.org/W2051762234","https://openalex.org/W2131408743","https://openalex.org/W2787827467","https://openalex.org/W4367031485","https://openalex.org/W3114941719","https://openalex.org/W2338598869"],"abstract_inverted_index":{"In":[0,39,84],"this":[1],"letter,":[2],"we":[3,59,99],"consider":[4,36],"optimal":[5,68,81],"hybrid":[6],"beamforming":[7],"design":[8],"to":[9,52,64,107],"minimize":[10],"the":[11,40,43,75,85,88],"transmission":[12,77],"power":[13,78],"under":[14],"individual":[15],"signal-to-interference-plus-noise":[16],"ratio":[17],"(SINR)":[18],"constraints":[19],"in":[20,29],"a":[21,30,61,66,101,109],"multiuser":[22],"massive":[23],"multiple-input-multiple-output":[24],"(MIMO)":[25],"system.":[26],"This":[27],"results":[28],"challenging":[31],"non-convex":[32],"optimization":[33],"problem.":[34],"We":[35],"two":[37],"cases.":[38],"case":[41,86],"where":[42,87],"number":[44,89],"of":[45,54,90,96],"users":[46,91],"is":[47,92],"smaller":[48],"than":[49,94],"or":[50],"equal":[51],"that":[53,72,95],"radio":[55],"frequency":[56],"(RF)":[57],"chains,":[58,98],"propose":[60,100],"low-complexity":[62,102],"method":[63],"obtain":[65,108],"globally":[67,103],"solution":[69],"and":[70],"show":[71],"it":[73],"achieves":[74],"same":[76],"as":[79],"an":[80],"fully-digital":[82],"beamformer.":[83],"larger":[93],"RF":[97],"convergent":[104],"alternating":[105],"algorithm":[106],"stationary":[110],"point.":[111]},"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}