{"id":"https://openalex.org/W2259391824","doi":"https://doi.org/10.1109/jstsp.2016.2523903","title":"Alternating Minimization Algorithms for Hybrid Precoding in Millimeter Wave MIMO Systems","display_name":"Alternating Minimization Algorithms for Hybrid Precoding in Millimeter Wave MIMO Systems","publication_year":2016,"publication_date":"2016-02-03","ids":{"openalex":"https://openalex.org/W2259391824","doi":"https://doi.org/10.1109/jstsp.2016.2523903","mag":"2259391824"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2016.2523903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2016.2523903","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.07340","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028609226","display_name":"Xianghao Yu","orcid":"https://orcid.org/0000-0002-8874-8712"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xianghao Yu","raw_affiliation_strings":["Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019544925","display_name":"Juei-Chin Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148979","display_name":"MediaTek (Taiwan)","ror":"https://ror.org/05g9jck81","country_code":"TW","type":"company","lineage":["https://openalex.org/I4210148979"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Juei-Chin Shen","raw_affiliation_strings":["MediaTek Inc., Hsinchu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MediaTek Inc., Hsinchu, Taiwan","institution_ids":["https://openalex.org/I4210148979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100433167","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0002-5222-1898"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I4210144839","display_name":"Hamad bin Khalifa University","ror":"https://ror.org/03eyq4y97","country_code":"QA","type":"education","lineage":["https://openalex.org/I4210144839"]}],"countries":["HK","QA"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong","Hamad Bin Khalifa University, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Hamad Bin Khalifa University, Qatar","institution_ids":["https://openalex.org/I4210144839"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079052203","display_name":"Khaled B. Letaief","orcid":"https://orcid.org/0000-0003-2519-6401"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I4210144839","display_name":"Hamad bin Khalifa University","ror":"https://ror.org/03eyq4y97","country_code":"QA","type":"education","lineage":["https://openalex.org/I4210144839"]}],"countries":["HK","QA"],"is_corresponding":false,"raw_author_name":"Khaled B. Letaief","raw_affiliation_strings":["Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong","Hamad Bin Khalifa University, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Hamad Bin Khalifa University, Qatar","institution_ids":["https://openalex.org/I4210144839"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":55.537,"has_fulltext":false,"cited_by_count":1469,"citation_normalized_percentile":{"value":0.99938681,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"10","issue":"3","first_page":"485","last_page":"500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9998000264167786,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.8800152540206909},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6709372401237488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6428614854812622},{"id":"https://openalex.org/keywords/baseband","display_name":"Baseband","score":0.6349349021911621},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6203936338424683},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.5094442963600159},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4493914544582367},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.4324500262737274},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4288700819015503},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.22534170746803284},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.19227883219718933},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1733674705028534},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.113597571849823},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.11178645491600037}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.8800152540206909},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6709372401237488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6428614854812622},{"id":"https://openalex.org/C65165936","wikidata":"https://www.wikidata.org/wiki/Q575784","display_name":"Baseband","level":3,"score":0.6349349021911621},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6203936338424683},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.5094442963600159},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4493914544582367},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.4324500262737274},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4288700819015503},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.22534170746803284},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.19227883219718933},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1733674705028534},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.113597571849823},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.11178645491600037}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/jstsp.2016.2523903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2016.2523903","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1601.07340","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.07340","pdf_url":"https://arxiv.org/pdf/1601.07340","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-77549","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-77549","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"},{"id":"pmh:oai:repository.ust.hk:1783.1-77549","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-84966417086&origin=inward","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":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.07340","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.07340","pdf_url":"https://arxiv.org/pdf/1601.07340","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W434012021","https://openalex.org/W905396345","https://openalex.org/W1499056928","https://openalex.org/W1557324374","https://openalex.org/W1606470095","https://openalex.org/W1664168556","https://openalex.org/W1804110266","https://openalex.org/W1928152501","https://openalex.org/W1938738734","https://openalex.org/W1975981182","https://openalex.org/W1978333359","https://openalex.org/W1987601403","https://openalex.org/W1991056455","https://openalex.org/W1992463666","https://openalex.org/W1996215314","https://openalex.org/W2004294022","https://openalex.org/W2014075533","https://openalex.org/W2015959396","https://openalex.org/W2034651337","https://openalex.org/W2037682381","https://openalex.org/W2041287972","https://openalex.org/W2045658304","https://openalex.org/W2045840914","https://openalex.org/W2049556680","https://openalex.org/W2051388965","https://openalex.org/W2053521124","https://openalex.org/W2054692642","https://openalex.org/W2064191652","https://openalex.org/W2076566842","https://openalex.org/W2084304524","https://openalex.org/W2094629654","https://openalex.org/W2103851250","https://openalex.org/W2104074482","https://openalex.org/W2106005123","https://openalex.org/W2111953900","https://openalex.org/W2116193517","https://openalex.org/W2131750568","https://openalex.org/W2138020668","https://openalex.org/W2140656373","https://openalex.org/W2145412765","https://openalex.org/W2146002389","https://openalex.org/W2160840682","https://openalex.org/W2161515500","https://openalex.org/W2166774451","https://openalex.org/W2167623372","https://openalex.org/W2242330824","https://openalex.org/W2289802366","https://openalex.org/W2296319761","https://openalex.org/W2610857016","https://openalex.org/W2798766386","https://openalex.org/W2949439369","https://openalex.org/W2963443408","https://openalex.org/W4205293427","https://openalex.org/W4229706427","https://openalex.org/W4241492945","https://openalex.org/W4250589301","https://openalex.org/W4254313632","https://openalex.org/W4254884193","https://openalex.org/W6640094319","https://openalex.org/W6659855941","https://openalex.org/W6684641359","https://openalex.org/W6690088382","https://openalex.org/W6696638701"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2326544815","https://openalex.org/W1973158664","https://openalex.org/W1731022149","https://openalex.org/W1996933839","https://openalex.org/W2000226056","https://openalex.org/W4386858283","https://openalex.org/W3190864439","https://openalex.org/W1979957996","https://openalex.org/W1993945082"],"abstract_inverted_index":{"Millimeter":[0],"wave":[1],"(mmWave)":[2],"communications":[3],"has":[4,84,97,161],"been":[5,99],"regarded":[6],"as":[7,15,47,110],"a":[8,49,68,71,77,111,162,166],"key":[9],"enabling":[10],"technology":[11],"for":[12,123,137,183],"5G":[13],"networks,":[14],"it":[16],"offers":[17],"orders":[18],"of":[19,52,93,154,196,226],"magnitude":[20],"greater":[21],"spectrum":[22],"than":[23],"current":[24],"cellular":[25],"bands.":[26],"In":[27,102,135],"contrast":[28],"to":[29,150,209],"conventional":[30],"multiple-input-multiple-output":[31],"(MIMO)":[32],"systems,":[33],"precoding":[34,73,127,234,248],"in":[35],"mmWave":[36],"MIMO":[37],"cannot":[38],"be":[39,59,121],"performed":[40],"entirely":[41],"at":[42],"baseband":[43],"using":[44],"digital":[45,78,157,180],"precoders,":[46],"only":[48],"limited":[50],"number":[51],"signal":[53],"mixers":[54],"and":[55,64,80,132],"analog-to-digital":[56],"converters":[57],"can":[58],"supported":[60],"considering":[61],"their":[62],"cost":[63],"power":[65],"consumption.":[66],"As":[67],"cost-effective":[69],"alternative,":[70],"hybrid":[72,95,107,126,233,247],"transceiver":[74],"architecture,":[75],"combining":[76],"precoder":[79,108],"an":[81,141,175,187],"analog":[82],"precoder,":[83,158],"recently":[85],"received":[86],"considerable":[87],"attention.":[88],"However,":[89],"the":[90,106,130,138,152,155,179,184,194,202,210,227,239,245],"optimal":[91],"design":[92,109,253],"such":[94],"precoders":[96],"not":[98],"fully":[100,156],"understood.":[101],"this":[103],"paper,":[104],"treating":[105],"matrix":[112],"factorization":[113],"problem,":[114],"effective":[115],"alternating":[116],"minimization":[117],"(AltMin)":[118],"algorithms":[119,205,230],"will":[120,221,250],"proposed":[122,149,203,228,240],"two":[124,246],"different":[125],"structures,":[128],"i.e.,":[129],"fully-connected":[131,139],"partially-connected":[133,185],"structures.":[134],"particular,":[136],"structure,":[140,186],"AltMin":[142,168,188,204,229],"algorithm":[143,169,189],"based":[144,237],"on":[145,178,238],"manifold":[146],"optimization":[147],"is":[148,170,190],"approach":[151],"performance":[153,224],"which,":[159],"however,":[160],"high":[163],"complexity.":[164],"Thus,":[165],"low-complexity":[167],"then":[171],"proposed,":[172],"by":[173],"enforcing":[174],"orthogonal":[176,214],"constraint":[177],"precoder.":[181],"Furthermore,":[182],"also":[191],"developed":[192],"with":[193,213],"help":[195],"semidefinite":[197],"relaxation.":[198],"For":[199],"practical":[200],"implementation,":[201],"are":[206],"further":[207],"extended":[208],"broadband":[211],"setting":[212],"frequency":[215],"division":[216],"multiplexing":[217],"modulation.":[218],"Simulation":[219],"results":[220],"demonstrate":[222],"significant":[223],"gains":[225],"over":[231],"existing":[232],"algorithms.":[235],"Moreover,":[236],"algorithms,":[241],"simulation":[242],"comparisons":[243],"between":[244],"structures":[249],"provide":[251],"valuable":[252],"insights.":[254]},"counts_by_year":[{"year":2026,"cited_by_count":36},{"year":2025,"cited_by_count":172},{"year":2024,"cited_by_count":163},{"year":2023,"cited_by_count":175},{"year":2022,"cited_by_count":186},{"year":2021,"cited_by_count":190},{"year":2020,"cited_by_count":168},{"year":2019,"cited_by_count":171},{"year":2018,"cited_by_count":105},{"year":2017,"cited_by_count":83},{"year":2016,"cited_by_count":20}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2016-06-24T00:00:00"}
