{"id":"https://openalex.org/W1996441276","doi":"https://doi.org/10.1109/tvt.2015.2400452","title":"Robust Masked Beamforming for MISO Cognitive Radio Networks With Unknown Eavesdroppers","display_name":"Robust Masked Beamforming for MISO Cognitive Radio Networks With Unknown Eavesdroppers","publication_year":2015,"publication_date":"2015-02-05","ids":{"openalex":"https://openalex.org/W1996441276","doi":"https://doi.org/10.1109/tvt.2015.2400452","mag":"1996441276"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2015.2400452","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2400452","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/7403833/07031917.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ieeexplore.ieee.org/ielx7/25/7403833/07031917.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079909747","display_name":"Jun Xiong","orcid":"https://orcid.org/0000-0002-2642-5512"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Xiong","raw_affiliation_strings":["Sch. of Electron. Sci. &amp; Eng., Nat. Univ. of Defense Technol., Changsha, China"],"affiliations":[{"raw_affiliation_string":"Sch. of Electron. Sci. &amp; Eng., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025383728","display_name":"Dongtang Ma","orcid":"https://orcid.org/0000-0001-6860-9312"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongtang Ma","raw_affiliation_strings":["Sch. of Electron. Sci. &amp; Eng., Nat. Univ. of Defense Technol., Changsha, China"],"affiliations":[{"raw_affiliation_string":"Sch. of Electron. Sci. &amp; Eng., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"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/I4210144746","display_name":"The London College","ror":"https://ror.org/0546ajs61","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210144746"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kai-Kit Wong","raw_affiliation_strings":["Dept. of Electron. &amp; Electr. Eng., Univ. Coll. London, London, UK"],"affiliations":[{"raw_affiliation_string":"Dept. of Electron. &amp; Electr. Eng., Univ. Coll. London, London, UK","institution_ids":["https://openalex.org/I4210144746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020741290","display_name":"Jibo Wei","orcid":"https://orcid.org/0000-0003-0165-6119"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jibo Wei","raw_affiliation_strings":["Sch. of Electron. Sci. &amp; Eng., Nat. Univ. of Defense Technol., Changsha, China"],"affiliations":[{"raw_affiliation_string":"Sch. of Electron. Sci. &amp; Eng., Nat. Univ. of Defense Technol., Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079909747"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":null,"apc_paid":null,"fwci":4.143,"has_fulltext":true,"cited_by_count":42,"citation_normalized_percentile":{"value":0.94338978,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"2","first_page":"744","last_page":"755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9976999759674072,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9947999715805054,"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/cognitive-radio","display_name":"Cognitive radio","score":0.7097724676132202},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.6918973922729492},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5985477566719055},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5615794658660889},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5303811430931091},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5248427391052246},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4745291769504547},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4577054977416992},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.4485102593898773},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.42949947714805603},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.42824602127075195},{"id":"https://openalex.org/keywords/artificial-noise","display_name":"Artificial noise","score":0.42188626527786255},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.28741222620010376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2462950050830841},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.23935040831565857},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.23494860529899597},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20758280158042908},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08285114169120789}],"concepts":[{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.7097724676132202},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.6918973922729492},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5985477566719055},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5615794658660889},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5303811430931091},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5248427391052246},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4745291769504547},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4577054977416992},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.4485102593898773},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.42949947714805603},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.42824602127075195},{"id":"https://openalex.org/C2780909371","wikidata":"https://www.wikidata.org/wiki/Q4801092","display_name":"Artificial noise","level":4,"score":0.42188626527786255},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.28741222620010376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2462950050830841},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.23935040831565857},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.23494860529899597},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20758280158042908},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08285114169120789}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2015.2400452","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2400452","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/7403833/07031917.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tvt.2015.2400452","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2400452","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/7403833/07031917.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1963938986","display_name":null,"funder_award_id":"61101096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4038673326","display_name":null,"funder_award_id":"61372099","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1996441276.pdf","grobid_xml":"https://content.openalex.org/works/W1996441276.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1545861347","https://openalex.org/W1568096262","https://openalex.org/W1577408952","https://openalex.org/W1967073510","https://openalex.org/W1976071028","https://openalex.org/W1997834106","https://openalex.org/W1998530521","https://openalex.org/W2007529001","https://openalex.org/W2014145493","https://openalex.org/W2025488327","https://openalex.org/W2063773941","https://openalex.org/W2071707134","https://openalex.org/W2072563372","https://openalex.org/W2092575814","https://openalex.org/W2102580724","https://openalex.org/W2103800662","https://openalex.org/W2108927308","https://openalex.org/W2110019315","https://openalex.org/W2124193021","https://openalex.org/W2127593435","https://openalex.org/W2130324471","https://openalex.org/W2131577848","https://openalex.org/W2133108373","https://openalex.org/W2136587597","https://openalex.org/W2140288088","https://openalex.org/W2144676920","https://openalex.org/W2148652646","https://openalex.org/W2152587757","https://openalex.org/W2153620960","https://openalex.org/W2154069827","https://openalex.org/W2164432698","https://openalex.org/W2165673607","https://openalex.org/W2949672874","https://openalex.org/W4250589301","https://openalex.org/W4253900906","https://openalex.org/W6634352367","https://openalex.org/W6675623623","https://openalex.org/W7014245034"],"related_works":["https://openalex.org/W2075530143","https://openalex.org/W2010804147","https://openalex.org/W2949279503","https://openalex.org/W3000666698","https://openalex.org/W2963504034","https://openalex.org/W4302034203","https://openalex.org/W2728807107","https://openalex.org/W2037608674","https://openalex.org/W2962837930","https://openalex.org/W2024233930"],"abstract_inverted_index":{"This":[0],"paper":[1,54,73],"studies":[2],"a":[3,10,45,163,209],"cognitive":[4],"radio":[5],"network":[6],"(CRN),":[7],"in":[8,26,81,208],"which":[9,206],"multiple-input":[11],"single-output":[12],"(MISO)":[13],"secondary":[14],"transmitter":[15],"(SU-Tx)":[16],"aims":[17],"to":[18,22,34,39,64,75,83,88],"send":[19],"confidential":[20],"messages":[21],"its":[23,36],"receiver":[24],"(SU-Rx)":[25],"the":[27,40,49,56,66,77,85,89,95,100,106,109,120,124,140,147,151,159,170,183,190,200],"presence":[28],"of":[29,71,79,111,132,142,165,172,192,195],"unknown":[30],"eavesdroppers,":[31,86],"while":[32],"having":[33],"control":[35],"generated":[37],"interference":[38,101],"primary":[41],"users":[42],"(PUs)":[43],"under":[44],"given":[46],"threshold.":[47],"Because":[48],"eavesdroppers":[50],"are":[51,137,186],"unknown,":[52],"this":[53,72],"considers":[55],"artificial":[57],"noise":[58],"(AN)":[59],"approach":[60],"or":[61],"masked":[62],"beamforming":[63],"provide":[65],"information":[67,115],"secrecy.":[68],"The":[69],"objective":[70],"is":[74,127],"maximize":[76],"power":[78],"AN":[80],"order":[82],"degrade":[84],"subject":[87],"signal-to-interference-plus-noise":[90],"ratio":[91],"(SINR)":[92],"constraint":[93],"at":[94],"SU-Rx,":[96],"as":[97,99],"well":[98],"temperature":[102],"limits":[103],"(ITLs)":[104],"for":[105,123,150],"PUs.":[107],"In":[108,139],"case":[110,141,171],"perfect":[112],"channel":[113],"state":[114],"(CSI),":[116],"we":[117,145,176,198],"reveal":[118],"that":[119],"optimal":[121],"strategy":[122],"information-bearing":[125],"signal":[126],"beamforming.":[128],"Imperfect":[129],"CSI":[130,174,184],"cases":[131],"bounded":[133],"and":[134,153,156],"stochastic":[135],"uncertainties":[136],"investigated.":[138],"ellipsoid-bounded":[143],"errors,":[144],"derive":[146],"equivalent":[148],"forms":[149],"SINR":[152],"ITL":[154],"constraints":[155,202],"then":[157],"transform":[158],"optimization":[160],"problem":[161],"into":[162,203],"form":[164],"semidefinite":[166],"programming":[167],"(SDP).":[168],"For":[169],"probabilistic":[173,201],"uncertainties,":[175],"propose":[177],"an":[178],"outage-constrained":[179],"robust":[180],"formulation":[181],"where":[182],"errors":[185],"Gaussian":[187],"distributed.":[188],"With":[189],"aid":[191],"two":[193],"kinds":[194],"Bernstein-type":[196],"inequalities,":[197],"reexpress":[199],"deterministic":[204],"forms,":[205],"results":[207],"safe":[210],"approximate":[211],"solution.":[212]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
