{"id":"https://openalex.org/W2065778310","doi":"https://doi.org/10.1109/icc.2014.6884063","title":"Transmit power minimization beamforming via amplify-and-forward relays in wireless networks with multiple eavesdroppers","display_name":"Transmit power minimization beamforming via amplify-and-forward relays in wireless networks with multiple eavesdroppers","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2065778310","doi":"https://doi.org/10.1109/icc.2014.6884063","mag":"2065778310"},"language":"en","primary_location":{"id":"doi:10.1109/icc.2014.6884063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2014.6884063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Communications (ICC)","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/A5101611171","display_name":"Zhongjian Liu","orcid":"https://orcid.org/0000-0003-4795-6475"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongjian Liu","raw_affiliation_strings":["Peking University, Beijing, Beijing, CN","State Key Lab. of Adv. Opt. Commun. Syst. & Networks, Peking Univ., Beijing, , China"],"affiliations":[{"raw_affiliation_string":"Peking University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"State Key Lab. of Adv. Opt. Commun. Syst. & Networks, Peking Univ., Beijing, , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100418336","display_name":"Chen Chen","orcid":"https://orcid.org/0000-0001-5058-6749"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Chen","raw_affiliation_strings":["Peking University, Beijing, Beijing, CN","State Key Lab. of Adv. Opt. Commun. Syst. & Networks, Peking Univ., Beijing, , China"],"affiliations":[{"raw_affiliation_string":"Peking University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"State Key Lab. of Adv. Opt. Commun. Syst. & Networks, Peking Univ., Beijing, , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072780525","display_name":"Lin Bai","orcid":"https://orcid.org/0000-0001-5705-0912"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Bai","raw_affiliation_strings":["Beihang University, Beijing, CN","Sch. of Electron. & Inf. Eng., Beihang Univ., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beihang University, Beijing, CN","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., Beihang Univ., Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101824600","display_name":"Haige Xiang","orcid":"https://orcid.org/0000-0001-7620-5326"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haige Xiang","raw_affiliation_strings":["Peking University, Beijing, Beijing, CN","State Key Lab. of Adv. Opt. Commun. Syst. & Networks, Peking Univ., Beijing, , China"],"affiliations":[{"raw_affiliation_string":"Peking University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"State Key Lab. of Adv. Opt. Commun. Syst. & Networks, Peking Univ., Beijing, , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022303970","display_name":"Jinho Choi","orcid":"https://orcid.org/0000-0002-4895-6680"},"institutions":[{"id":"https://openalex.org/I39534123","display_name":"Gwangju Institute of Science and Technology","ror":"https://ror.org/024kbgz78","country_code":"KR","type":"education","lineage":["https://openalex.org/I39534123"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jinho Choi","raw_affiliation_strings":["Gwangju Institute of Science and Technology, Gwangju, KR","[Sch. of Inf. & Commun., Gwangju Inst. of Sci. & Technol. (GIST, Gwangju, South Korea]"],"affiliations":[{"raw_affiliation_string":"Gwangju Institute of Science and Technology, Gwangju, KR","institution_ids":["https://openalex.org/I39534123"]},{"raw_affiliation_string":"[Sch. of Inf. & Commun., Gwangju Inst. of Sci. & Technol. (GIST, Gwangju, South Korea]","institution_ids":["https://openalex.org/I39534123"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101611171"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":0.2124,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60580233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4698","last_page":"4703"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","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/T10964","display_name":"Wireless Communication Security Techniques","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994000196456909,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9990000128746033,"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":0.905509352684021},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.7372139692306519},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6981781721115112},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5858727693557739},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4766336679458618},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.45804139971733093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45603689551353455},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3993789851665497},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3617570698261261},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.31521451473236084},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3078075051307678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23676204681396484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1761438250541687},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1511116921901703},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14345219731330872},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.08587867021560669}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.905509352684021},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7372139692306519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6981781721115112},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5858727693557739},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4766336679458618},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.45804139971733093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45603689551353455},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3993789851665497},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3617570698261261},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.31521451473236084},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3078075051307678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23676204681396484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1761438250541687},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1511116921901703},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14345219731330872},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.08587867021560669},{"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":2,"locations":[{"id":"doi:10.1109/icc.2014.6884063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2014.6884063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Communications (ICC)","raw_type":"proceedings-article"},{"id":"pmh:oai:dro.deakin.edu.au:DU:30122410","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402457","display_name":"Deakin Research Online (Deakin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149704539","host_organization_name":"Deakin University","host_organization_lineage":["https://openalex.org/I149704539"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1979833275","https://openalex.org/W1984540590","https://openalex.org/W1996215314","https://openalex.org/W2011445816","https://openalex.org/W2043769961","https://openalex.org/W2095525871","https://openalex.org/W2101984214","https://openalex.org/W2111398884","https://openalex.org/W2113741278","https://openalex.org/W2171006634","https://openalex.org/W2503543021","https://openalex.org/W2542429611","https://openalex.org/W4250589301","https://openalex.org/W4301909677"],"related_works":["https://openalex.org/W3087844490","https://openalex.org/W3090699061","https://openalex.org/W4387546583","https://openalex.org/W2135767944","https://openalex.org/W2051762234","https://openalex.org/W2131408743","https://openalex.org/W2055634632","https://openalex.org/W1981368673","https://openalex.org/W2787827467","https://openalex.org/W2123109261"],"abstract_inverted_index":{"In":[0,28],"this":[1,29,156],"paper,":[2,30],"we":[3,31,52,95],"consider":[4],"the":[5,33,48,68,74,81,84,89,92,107,133,144,148,164,168,177,183],"collaborative":[6],"use":[7],"of":[8,83,91,114,135,141],"amplify-and-forward":[9],"relays":[10],"to":[11,162],"form":[12],"a":[13,22,39,97,112,115],"beamforming":[14,103,126,150,170],"system":[15],"and":[16,73,118],"provide":[17],"physical":[18],"layer":[19],"security":[20],"for":[21],"wireless":[23],"network":[24],"with":[25,167,185],"multiple":[26],"eavesdroppers.":[27],"investigate":[32],"relay":[34,49,56],"transmit":[35,50],"power":[36,57],"minimization":[37,58],"under":[38,155],"secrecy":[40],"rate":[41],"constraint":[42],"via":[43],"secure":[44],"beamforming.":[45],"To":[46],"minimize":[47],"power,":[51],"design":[53],"an":[54,64,121],"approximate":[55],"(RPM)":[59],"beam-forming":[60],"scheme,":[61,104],"in":[62],"which":[63,105],"iterative":[65],"algorithm":[66],"combining":[67],"semidefinite":[69],"relaxation":[70],"(SDR)":[71],"technology":[72],"gradient-based":[75],"method":[76],"is":[77,137,173],"devised":[78],"by":[79],"studying":[80],"convexity":[82],"RPM":[85,93,101,109,169],"problem.":[86],"By":[87],"relaxing":[88],"constraints":[90],"problem,":[94],"propose":[96],"virtual":[98,178],"eavesdropper":[99,179],"based":[100],"(VE-RPM)":[102],"transforms":[106],"multivariate":[108],"problem":[110,113],"into":[111],"single":[116],"variable,":[117],"thus":[119],"obtain":[120],"analytical":[122],"solution.":[123],"Our":[124],"proposed":[125],"designs":[127],"can":[128,152],"work":[129,154],"well":[130],"even":[131],"if":[132],"number":[134],"eavesdroppers":[136],"larger":[138],"than":[139],"that":[140,176],"relays,":[142],"while":[143],"existing":[145],"schemes,":[146],"e.g.,":[147],"null-space":[149],"approaches,":[151],"not":[153],"condition.":[157],"Simulation":[158],"results":[159],"are":[160],"presented":[161],"demonstrate":[163],"performance":[165,187],"improvement":[166],"schemes.":[171],"It":[172],"also":[174],"showed":[175],"approaches":[180],"significantly":[181],"reduce":[182],"complexity":[184],"acceptable":[186],"degradation.":[188]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
