{"id":"https://openalex.org/W2963129504","doi":"https://doi.org/10.1109/tcomm.2018.2864737","title":"Millimeter-Wave Beamformed Full-Dimensional MIMO Channel Estimation Based on Atomic Norm Minimization","display_name":"Millimeter-Wave Beamformed Full-Dimensional MIMO Channel Estimation Based on Atomic Norm Minimization","publication_year":2018,"publication_date":"2018-08-10","ids":{"openalex":"https://openalex.org/W2963129504","doi":"https://doi.org/10.1109/tcomm.2018.2864737","mag":"2963129504"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2018.2864737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2018.2864737","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Transactions on Communications","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/A5055151349","display_name":"Yingming Tsai","orcid":null},"institutions":[{"id":"https://openalex.org/I36326968","display_name":"InterDigital (United States)","ror":"https://ror.org/02w335z67","country_code":"US","type":"company","lineage":["https://openalex.org/I36326968"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yingming Tsai","raw_affiliation_strings":["InterDigital, Inc., Melville, NY, USA"],"affiliations":[{"raw_affiliation_string":"InterDigital, Inc., Melville, NY, USA","institution_ids":["https://openalex.org/I36326968"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100665342","display_name":"Le Zheng","orcid":"https://orcid.org/0000-0002-4972-9199"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Le Zheng","raw_affiliation_strings":["Electrical Engineering Department, Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100382658","display_name":"Xiaodong Wang","orcid":"https://orcid.org/0000-0002-2945-9240"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaodong Wang","raw_affiliation_strings":["Electrical Engineering Department, Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055151349"],"corresponding_institution_ids":["https://openalex.org/I36326968"],"apc_list":null,"apc_paid":null,"fwci":3.519,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.93418199,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"66","issue":"12","first_page":"6150","last_page":"6163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10936","display_name":"Millimeter-Wave Propagation and Modeling","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/T11946","display_name":"Antenna Design and Optimization","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9988999962806702,"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/mimo","display_name":"MIMO","score":0.7468910217285156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.664631724357605},{"id":"https://openalex.org/keywords/azimuth","display_name":"Azimuth","score":0.6108865141868591},{"id":"https://openalex.org/keywords/planar-array","display_name":"Planar array","score":0.5949772000312805},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5764034390449524},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.5420542359352112},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5327418446540833},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5302039384841919},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5288309454917908},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4825105667114258},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4816354811191559},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.4758203327655792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41085898876190186},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3667728900909424},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18335503339767456},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14710110425949097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1231985092163086}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7468910217285156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.664631724357605},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.6108865141868591},{"id":"https://openalex.org/C2775980084","wikidata":"https://www.wikidata.org/wiki/Q4771249","display_name":"Planar array","level":2,"score":0.5949772000312805},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5764034390449524},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.5420542359352112},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5327418446540833},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5302039384841919},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5288309454917908},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4825105667114258},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4816354811191559},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.4758203327655792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41085898876190186},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3667728900909424},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18335503339767456},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14710110425949097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1231985092163086},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2018.2864737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2018.2864737","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Transactions on Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W905396345","https://openalex.org/W1483249443","https://openalex.org/W1529522789","https://openalex.org/W1989876652","https://openalex.org/W1992867392","https://openalex.org/W2006367686","https://openalex.org/W2015856576","https://openalex.org/W2020255126","https://openalex.org/W2028191993","https://openalex.org/W2034651337","https://openalex.org/W2051459314","https://openalex.org/W2053366386","https://openalex.org/W2053521124","https://openalex.org/W2063104534","https://openalex.org/W2087998432","https://openalex.org/W2092397817","https://openalex.org/W2093328751","https://openalex.org/W2093589053","https://openalex.org/W2105652988","https://openalex.org/W2108816212","https://openalex.org/W2111953900","https://openalex.org/W2116334496","https://openalex.org/W2126407450","https://openalex.org/W2134641604","https://openalex.org/W2135046866","https://openalex.org/W2140856955","https://openalex.org/W2164278908","https://openalex.org/W2166486216","https://openalex.org/W2290739911","https://openalex.org/W2296616510","https://openalex.org/W2342863993","https://openalex.org/W2463747392","https://openalex.org/W2514394297","https://openalex.org/W2535161902","https://openalex.org/W2560411549","https://openalex.org/W2565293665","https://openalex.org/W2587792932","https://openalex.org/W2595628249","https://openalex.org/W2597836615","https://openalex.org/W2621353151","https://openalex.org/W2633610211","https://openalex.org/W2685099420","https://openalex.org/W2739833327","https://openalex.org/W2962727817","https://openalex.org/W2963370308","https://openalex.org/W2964106337","https://openalex.org/W2964325628","https://openalex.org/W3125488942","https://openalex.org/W4250955649","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W4239363875","https://openalex.org/W3209668585","https://openalex.org/W2129833531","https://openalex.org/W2139222591","https://openalex.org/W3092300911","https://openalex.org/W2350495673","https://openalex.org/W2185446406","https://openalex.org/W2875660545","https://openalex.org/W3144144182","https://openalex.org/W1503313801"],"abstract_inverted_index":{"The":[0,121],"millimeter-wave":[1],"(mmWave)":[2],"full-dimensional":[3],"(FD)":[4],"MIMO":[5],"system":[6],"employs":[7],"planar":[8,43,48],"arrays":[9,44,49],"at":[10],"both":[11,23,41],"the":[12,16,62,70,74,92,97,100,127,141,144,160,166,173],"base":[13],"station":[14],"and":[15,19,25,46,78,152,175],"user":[17],"equipment":[18],"can":[20],"simultaneously":[21],"support":[22],"azimuth":[24],"elevation":[26],"beamforming.":[27],"In":[28,91,140],"this":[29],"paper,":[30],"we":[31],"propose":[32],"atomic-norm-based":[33,63,145],"methods":[34],"for":[35,147],"mm-wave":[36],"FD-MIMO":[37],"channel":[38,148],"estimation":[39,149],"under":[40],"uniform":[42],"(UPA)":[45],"non-uniform":[47],"(NUPA).":[50],"Unlike":[51],"existing":[52],"algorithms,":[53],"such":[54],"as":[55,110],"compressive":[56],"sensing":[57],"(CS)":[58],"or":[59],"subspace":[60],"methods,":[61],"algorithms":[64,168],"do":[65],"not":[66],"require":[67],"to":[68,95,158],"discretize":[69],"angle":[71,75,79],"spaces":[72],"of":[73,76,80,131],"arrival":[77],"departure":[81],"into":[82],"grids,":[83],"thus":[84],"provide":[85],"much":[86],"better":[87,170],"accuracy":[88],"in":[89],"estimation.":[90],"UPA":[93],"case,":[94,143],"reduce":[96],"computational":[98],"complexity,":[99],"original":[101],"large-scale":[102],"atomic":[103],"norm":[104],"minimization":[105],"problem":[106],"is":[107,123,156],"approximately":[108],"reformulated":[109],"a":[111,153],"semi-definite":[112],"program":[113],"(SDP)":[114],"containing":[115],"two":[116],"decoupled":[117],"two-level":[118],"Toeplitz":[119],"matrices.":[120],"SDP":[122],"then":[124],"solved":[125],"via":[126],"alternating":[128],"direction":[129],"method":[130],"multipliers":[132],"where":[133],"each":[134],"iteration":[135],"involves":[136],"only":[137],"closed-form":[138],"computations.":[139],"NUPA":[142],"formulation":[146],"becomes":[150],"nonconvex":[151],"gradient-decent-based":[154],"algorithm":[155],"proposed":[157,167],"solve":[159],"problem.":[161],"Simulation":[162],"results":[163],"show":[164],"that":[165],"achieve":[169],"performance":[171],"than":[172],"CS-based":[174],"subspace-based":[176],"algorithms.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}