{"id":"https://openalex.org/W2143967229","doi":"https://doi.org/10.1109/tsp.2010.2066270","title":"On the Robustness of Transmit Beamforming","display_name":"On the Robustness of Transmit Beamforming","publication_year":2010,"publication_date":"2010-08-18","ids":{"openalex":"https://openalex.org/W2143967229","doi":"https://doi.org/10.1109/tsp.2010.2066270","mag":"2143967229"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2066270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2066270","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","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/A5085579919","display_name":"Jiaheng Wang","orcid":"https://orcid.org/0000-0002-9783-5471"},"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/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["HK","SE"],"is_corresponding":false,"raw_author_name":"Jiaheng Wang","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Kowloon, Hong Kong","Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042589490","display_name":"Miquel Payar\u00f3","orcid":"https://orcid.org/0000-0003-0145-1674"},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Miquel Payaro","raw_affiliation_strings":["Centre Tecnol\u00f2gic de Telecomunicacions de Catalunya (CTTC), Parc Mediterrani de la Tecnologia, Castelldefels, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre Tecnol\u00f2gic de Telecomunicacions de Catalunya (CTTC), Parc Mediterrani de la Tecnologia, Castelldefels, Barcelona, Spain","institution_ids":["https://openalex.org/I4210087295"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2155,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.95777938,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"11","first_page":"5933","last_page":"5938"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9994999766349792,"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":0.9990000128746033,"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":0.9288554191589355},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7546694874763489},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.689568817615509},{"id":"https://openalex.org/keywords/wsdma","display_name":"WSDMA","score":0.6687801480293274},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.6234843134880066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5692384243011475},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.4978499412536621},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.4675660729408264},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4515196979045868},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3964756727218628},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3204546570777893},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.20364907383918762},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.19387993216514587}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.9288554191589355},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7546694874763489},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.689568817615509},{"id":"https://openalex.org/C57466844","wikidata":"https://www.wikidata.org/wiki/Q7955559","display_name":"WSDMA","level":5,"score":0.6687801480293274},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.6234843134880066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5692384243011475},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.4978499412536621},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.4675660729408264},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4515196979045868},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3964756727218628},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3204546570777893},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.20364907383918762},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.19387993216514587},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2010.2066270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2066270","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.2905","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.2905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.ust.hk/~eepayaro/publications/WangPayaro_TSP10.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W316798226","https://openalex.org/W391578156","https://openalex.org/W1667950888","https://openalex.org/W2049285480","https://openalex.org/W2072603128","https://openalex.org/W2110659753","https://openalex.org/W2111135554","https://openalex.org/W2112923538","https://openalex.org/W2113168978","https://openalex.org/W2115543075","https://openalex.org/W2125327035","https://openalex.org/W2130509920","https://openalex.org/W2130667916","https://openalex.org/W2139683558","https://openalex.org/W2140960275","https://openalex.org/W2150107643","https://openalex.org/W2150816740","https://openalex.org/W2151481501","https://openalex.org/W2165350939","https://openalex.org/W2296319761","https://openalex.org/W2475682732","https://openalex.org/W2610857016","https://openalex.org/W2947553656","https://openalex.org/W3147528989","https://openalex.org/W3148168866","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2780252087","https://openalex.org/W2121063273","https://openalex.org/W2890273742","https://openalex.org/W2167568384","https://openalex.org/W2337309234","https://openalex.org/W2116541631","https://openalex.org/W2130902301","https://openalex.org/W2034991012","https://openalex.org/W2787827467","https://openalex.org/W2088352174"],"abstract_inverted_index":{"Beamforming":[0],"is":[1],"a":[2,19,30,73],"simple":[3],"transmit":[4,80],"strategy":[5,21],"that":[6,61,101],"uses":[7],"only":[8],"one":[9],"eigen-direction":[10],"in":[11,22,82],"multiple-input":[12],"multiple-output":[13],"channels.":[14],"This":[15,49,97],"simplicity":[16],"makes":[17],"beamforming":[18,36,52,62,102],"competitive":[20],"practice,":[23],"but":[24],"at":[25,45],"the":[26,33,38,41,46,54,65,78,83,93,104,109],"same":[27],"time":[28],"poses":[29],"doubt":[31],"on":[32],"sensitivity":[34],"of":[35,40,56,111],"to":[37,106],"imperfectness":[39,110],"channel":[42,85,116,120],"state":[43],"information":[44],"transmitter":[47],"(CSIT).":[48],"paper":[50],"studies":[51],"from":[53],"perspective":[55],"worst-case":[57],"robustness.":[58],"We":[59],"show":[60],"can":[63],"achieve":[64],"maximum":[66],"received":[67,75],"signal-to-noise":[68],"ratio":[69],"(SNR)":[70],"or":[71,118],"guarantees":[72],"given":[74],"SNR":[76],"with":[77],"minimum":[79],"power,":[81],"worst":[84],"within":[86],"an":[87],"elliptical":[88],"uncertainty":[89],"region":[90],"defined":[91],"by":[92],"weighted":[94],"spectral":[95],"norm.":[96],"result":[98],"further":[99],"implies":[100],"has":[103],"ability":[105],"combat":[107],"against":[108],"CSIT,":[112],"especially":[113],"for":[114],"small":[115,119],"dimensions":[117],"uncertainty.":[121]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}