{"id":"https://openalex.org/W2189033531","doi":"https://doi.org/10.1109/pimrc.2015.7343328","title":"Robust rank-two beamforming for multicell multigroup multicast","display_name":"Robust rank-two beamforming for multicell multigroup multicast","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2189033531","doi":"https://doi.org/10.1109/pimrc.2015.7343328","mag":"2189033531"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2015.7343328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2015.7343328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-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/A5052853009","display_name":"Binyue Liu","orcid":"https://orcid.org/0000-0002-8446-7016"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Binyue Liu","raw_affiliation_strings":["Alcatel-Lucent Shanghai Bell, Shanghai, China","The state key Lab. of ISN, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Alcatel-Lucent Shanghai Bell, Shanghai, China","institution_ids":[]},{"raw_affiliation_string":"The state key Lab. of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101897563","display_name":"Yong Cheng","orcid":"https://orcid.org/0009-0001-2287-2809"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yong Cheng","raw_affiliation_strings":["Bell Labs, Alcatel-Lucent, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Bell Labs, Alcatel-Lucent, Stuttgart, Germany","institution_ids":["https://openalex.org/I1322087612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001945705","display_name":"Qiaoqiao Zhou","orcid":"https://orcid.org/0000-0002-9779-7225"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiaoqiao Zhou","raw_affiliation_strings":["Chinese University of Hong Kong, New Territories, HK"],"affiliations":[{"raw_affiliation_string":"Chinese University of Hong Kong, New Territories, HK","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052853009"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":0.5919,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72902401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"381","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9955000281333923,"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":0.8762530088424683},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.8477123975753784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6736060976982117},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.562131404876709},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5209466218948364},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.5005590915679932},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49854350090026855},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4854884445667267},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.46885308623313904},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4644470512866974},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.4643225073814392},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.46027514338493347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3789628744125366},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33389633893966675},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.310002863407135},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2669553756713867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21610474586486816},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.18539118766784668},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08992594480514526},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0813225507736206}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8762530088424683},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.8477123975753784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6736060976982117},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.562131404876709},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5209466218948364},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.5005590915679932},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49854350090026855},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4854884445667267},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.46885308623313904},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4644470512866974},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.4643225073814392},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.46027514338493347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3789628744125366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33389633893966675},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.310002863407135},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2669553756713867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21610474586486816},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.18539118766784668},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08992594480514526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0813225507736206},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2015.7343328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2015.7343328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1509724310","https://openalex.org/W1529594166","https://openalex.org/W1545861347","https://openalex.org/W1964250489","https://openalex.org/W1976922185","https://openalex.org/W1978666418","https://openalex.org/W1981044874","https://openalex.org/W2006593332","https://openalex.org/W2042599231","https://openalex.org/W2061626026","https://openalex.org/W2071725277","https://openalex.org/W2074166063","https://openalex.org/W2095887113","https://openalex.org/W2111135554","https://openalex.org/W2122744491","https://openalex.org/W2169363112","https://openalex.org/W2189033531","https://openalex.org/W2912522929","https://openalex.org/W4246372467","https://openalex.org/W4250589301","https://openalex.org/W6631462281","https://openalex.org/W6668251296","https://openalex.org/W6668830590","https://openalex.org/W7014245034"],"related_works":["https://openalex.org/W2033488476","https://openalex.org/W2088352174","https://openalex.org/W3084132786","https://openalex.org/W4327661444","https://openalex.org/W4250958385","https://openalex.org/W2034991012","https://openalex.org/W2165992111","https://openalex.org/W2111349105","https://openalex.org/W1965669700","https://openalex.org/W2949201263"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"robust":[3],"rank-two":[4],"multicast":[5,114],"beamforming":[6,45,95],"for":[7,61],"multiple":[8],"groups":[9],"of":[10,56,78,110],"users":[11,58,111],"in":[12,65,80,112],"multicell":[13],"systems.":[14],"We":[15,84],"consider":[16],"the":[17,29,51,66,76,81,86,103,108,122],"practical":[18],"scenario":[19],"when":[20,107],"perfect":[21],"channel":[22,33,63,123],"state":[23],"information":[24],"is":[25,35,46,72,105,116,125],"not":[26],"available":[27],"at":[28],"base":[30],"stations.":[31],"The":[32,69],"uncertainty":[34,124],"assumed":[36],"to":[37,48,74,91],"be":[38],"bounded":[39,67],"within":[40],"a":[41],"spherical":[42],"region.":[43,68],"Robust":[44],"designed":[47],"guarantee":[49],"that":[50,102],"predefined":[52],"signal-to-interference-plus-noise":[53],"ratio":[54],"targets":[55],"all":[57],"are":[59],"met":[60],"any":[62],"instance":[64],"Alamouti":[70],"code":[71],"employed":[73],"double":[75],"degrees":[77],"freedom":[79],"beamformer":[82],"design.":[83],"apply":[85],"semidefinite":[87],"relaxation":[88],"(SDR)":[89],"technique":[90],"address":[92],"this":[93],"nonconvex":[94],"problem.":[96],"Interestingly,":[97],"our":[98],"theoretical":[99],"analysis":[100],"shows":[101],"SDR":[104],"tight":[106],"number":[109],"each":[113],"group":[115],"no":[117],"more":[118],"than":[119],"two":[120],"and":[121],"sufficiently":[126],"small.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}