{"id":"https://openalex.org/W2012325084","doi":"https://doi.org/10.1155/2008/609028","title":"Robust Linear MIMO in the Downlink: A Worst-Case Optimization with Ellipsoidal Uncertainty Regions","display_name":"Robust Linear MIMO in the Downlink: A Worst-Case Optimization with Ellipsoidal Uncertainty Regions","publication_year":2008,"publication_date":"2008-07-07","ids":{"openalex":"https://openalex.org/W2012325084","doi":"https://doi.org/10.1155/2008/609028","mag":"2012325084"},"language":"en","primary_location":{"id":"doi:10.1155/2008/609028","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/609028","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/609028","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/609028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024123401","display_name":"Gan Zheng","orcid":"https://orcid.org/0000-0001-8457-6477"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gan Zheng","raw_affiliation_strings":["Adastral Park Campus, Martlesham Heath, University College London, Suffolk, IP5 3RE, UK","Adastral Park Campus, Martlesham Heath, University College London, Suffolk, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adastral Park Campus, Martlesham Heath, University College London, Suffolk, IP5 3RE, UK","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Adastral Park Campus, Martlesham Heath, University College London, Suffolk, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011048761","display_name":"Kai\u2010Kit Wong","orcid":"https://orcid.org/0000-0001-7521-0078"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kai-Kit Wong","raw_affiliation_strings":["Adastral Park Campus, Martlesham Heath, University College London, Suffolk, IP5 3RE, UK","Adastral Park Campus, Martlesham Heath, University College London, Suffolk, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adastral Park Campus, Martlesham Heath, University College London, Suffolk, IP5 3RE, UK","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Adastral Park Campus, Martlesham Heath, University College London, Suffolk, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000693504","display_name":"Tung-Sang Ng","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Tung-Sang Ng","raw_affiliation_strings":["Telecommunications Research Group, The University of Hong Kong, Pokfulam Road, Hong Kong","Telecommunications Research Group, The University of Hong Kong, , Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Telecommunications Research Group, The University of Hong Kong, Pokfulam Road, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Telecommunications Research Group, The University of Hong Kong, , Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011048761"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":4.7488,"has_fulltext":true,"cited_by_count":132,"citation_normalized_percentile":{"value":0.94714788,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"2008","issue":"1","first_page":null,"last_page":null},"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":0.9977999925613403,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.994700014591217,"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/beamforming","display_name":"Beamforming","score":0.825324535369873},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7881429195404053},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.7249882221221924},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.635948657989502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.60714191198349},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5203589797019958},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5140320062637329},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.49244341254234314},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.4843655526638031},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47953343391418457},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4694497287273407},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.46500691771507263},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.43072041869163513},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.42589110136032104},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.30465227365493774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2716866135597229},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2665274441242218},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20618748664855957},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.19493189454078674}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.825324535369873},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7881429195404053},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.7249882221221924},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.635948657989502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.60714191198349},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5203589797019958},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5140320062637329},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.49244341254234314},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.4843655526638031},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47953343391418457},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4694497287273407},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.46500691771507263},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.43072041869163513},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.42589110136032104},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.30465227365493774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2716866135597229},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2665274441242218},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20618748664855957},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.19493189454078674},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2008/609028","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/609028","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/609028","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:44b70d070bed45cb95435140ed21ccb7","is_oa":false,"landing_page_url":"https://doaj.org/article/44b70d070bed45cb95435140ed21ccb7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2008 (2008)","raw_type":"article"},{"id":"pmh:oai:hub.hku.hk:10722/58771","is_oa":true,"landing_page_url":"http://hdl.handle.net/10722/58771","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1155/2008/609028","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/609028","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/609028","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.44999998807907104,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1708220493","display_name":null,"funder_award_id":"EP/D058716/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G762497774","display_name":"Adaptive space and frequency modulations for high-quality high-speed wireless LANs","funder_award_id":"EP/D058716/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320322170","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012325084.pdf","grobid_xml":"https://content.openalex.org/works/W2012325084.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1503221585","https://openalex.org/W1545861347","https://openalex.org/W1559749676","https://openalex.org/W1568307856","https://openalex.org/W1667950888","https://openalex.org/W1976109068","https://openalex.org/W1978910765","https://openalex.org/W2005678164","https://openalex.org/W2030546921","https://openalex.org/W2074120933","https://openalex.org/W2093225945","https://openalex.org/W2100394600","https://openalex.org/W2106993652","https://openalex.org/W2107080958","https://openalex.org/W2108927308","https://openalex.org/W2109005286","https://openalex.org/W2113168978","https://openalex.org/W2118040894","https://openalex.org/W2121233130","https://openalex.org/W2122086235","https://openalex.org/W2123836500","https://openalex.org/W2125327035","https://openalex.org/W2128296785","https://openalex.org/W2129075849","https://openalex.org/W2132818688","https://openalex.org/W2134939287","https://openalex.org/W2137607133","https://openalex.org/W2140214428","https://openalex.org/W2140960275","https://openalex.org/W2143927285","https://openalex.org/W2144141949","https://openalex.org/W2145403270","https://openalex.org/W2145417574","https://openalex.org/W2156004493","https://openalex.org/W2161297670","https://openalex.org/W2161410889","https://openalex.org/W2161473225","https://openalex.org/W2163754837","https://openalex.org/W2165943096","https://openalex.org/W2170470787","https://openalex.org/W2171838429","https://openalex.org/W2296319761","https://openalex.org/W2330078975","https://openalex.org/W2565988693","https://openalex.org/W2795945545"],"related_works":["https://openalex.org/W2093169852","https://openalex.org/W4366834258","https://openalex.org/W2152312531","https://openalex.org/W3115129015","https://openalex.org/W2160044169","https://openalex.org/W2093508149","https://openalex.org/W2139244120","https://openalex.org/W2012325084","https://openalex.org/W2036712732","https://openalex.org/W1990033218"],"abstract_inverted_index":{"This":[0,81],"paper":[1,82],"addresses":[2],"the":[3,21,34,39,55,61,71,78,97,124,135,150,169,185,190,197,207,220],"joint":[4,72,199],"robust":[5,76,105,125,138,152,170,200,209],"power":[6,58,139,201,210],"control":[7,140],"and":[8,33,94,158,179,202,216],"beamforming":[9,74,154,203],"design":[10],"of":[11,123,223],"a":[12,85,104,110,121,224],"linear":[13],"multiuser":[14,86,173,225],"multiple-input":[15],"multiple-output":[16],"(MIMO)":[17],"antenna":[18],"system":[19,88],"in":[20,109],"downlink":[22],"where":[23],"users":[24],"are":[25],"subjected":[26],"to":[27,53,77,113,133,148,167,188],"individual":[28],"signal-to-interference-plus-noise":[29],"ratio":[30],"(SINR)":[31],"requirements,":[32],"channel":[35,67,79,181],"state":[36,182],"information":[37,183],"at":[38,184],"transmitter":[40],"(CSIT)":[41],"with":[42,91,115,141,176,212],"its":[43],"uncertainty":[44],"characterized":[45],"by":[46,69,95],"an":[47,100],"ellipsoidal":[48],"region.":[49],"The":[50],"objective":[51],"is":[52,107,165],"minimize":[54],"overall":[56],"transmit":[57,143],"while":[59],"guaranteeing":[60],"users'":[62],"SINR":[63,101],"constraints":[64,98],"for":[65,172],"every":[66],"instantiation":[68],"designing":[70],"transmitreceive":[73],"vectors":[75],"uncertainty.":[80],"first":[83],"investigates":[84],"MISO":[87,153],"(i.e.,":[89],"MIMO":[90,174,226],"single-antenna":[92],"receivers)":[93],"imposing":[96],"on":[99],"lower":[102],"bound,":[103],"solution":[106,171],"obtained":[108],"way":[111],"similar":[112],"that":[114,196],"perfect":[116,178],"CSI.":[117],"We":[118],"then":[119],"present":[120],"reformulation":[122],"optimization":[126,157,204],"problem":[127],"using":[128],"S-Procedure":[129],"which":[130],"enables":[131],"us":[132],"obtain":[134],"globally":[136],"optimal":[137,151,208],"fixed":[142],"beamforming.":[144],"Further,":[145],"we":[146],"propose":[147],"find":[149],"via":[155],"convex":[156],"rank":[159],"relaxation.":[160],"A":[161],"convergent":[162],"iterative":[163],"algorithm":[164],"presented":[166],"extend":[168],"systems":[175],"both":[177],"imperfect":[180],"receiver":[186],"(CSIR)":[187],"guarantee":[189],"worst-case":[191],"SINR.":[192],"Simulation":[193],"results":[194],"illustrate":[195],"proposed":[198],"significantly":[205],"outperforms":[206],"allocation":[211],"zeroforcing":[213],"(ZF)":[214],"beamformers,":[215],"more":[217],"importantly":[218],"enlarges":[219],"feasibility":[221],"regions":[222],"system.":[227]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":13}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
