{"id":"https://openalex.org/W4313179853","doi":"https://doi.org/10.1109/twc.2022.3229077","title":"Secure Transmission Design for Virtual Antenna Array-Aided Device-to-Device Multicast Communications","display_name":"Secure Transmission Design for Virtual Antenna Array-Aided Device-to-Device Multicast Communications","publication_year":2022,"publication_date":"2022-12-20","ids":{"openalex":"https://openalex.org/W4313179853","doi":"https://doi.org/10.1109/twc.2022.3229077"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2022.3229077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2022.3229077","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","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/A5082699513","display_name":"Xinyue Hu","orcid":"https://orcid.org/0000-0003-0274-0478"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinyue Hu","raw_affiliation_strings":["School of Computer Science and Information Engineering, Hefei University of Technology, Hefei, China","School of Electronic and Information Engineering, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Information Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"School of Electronic and Information Engineering, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053320675","display_name":"Yibo Yi","orcid":"https://orcid.org/0000-0003-0210-3735"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yibo Yi","raw_affiliation_strings":["School of Computer Science and Information Engineering, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Information Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100783566","display_name":"Kun Li","orcid":"https://orcid.org/0000-0002-0013-045X"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Li","raw_affiliation_strings":["School of Electronic and Information Engineering, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100397228","display_name":"Hongwei Zhang","orcid":"https://orcid.org/0000-0001-7411-0542"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Zhang","raw_affiliation_strings":["School of Electronic and Information Engineering, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076838715","display_name":"Caihong Kai","orcid":"https://orcid.org/0000-0002-1061-9267"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Caihong Kai","raw_affiliation_strings":["School of Computer Science and Information Engineering, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Information Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5082699513"],"corresponding_institution_ids":["https://openalex.org/I143868143","https://openalex.org/I16365422"],"apc_list":null,"apc_paid":null,"fwci":0.6403,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.67215409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"7","first_page":"4814","last_page":"4827"},"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":0.9998000264167786,"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":0.9995999932289124,"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/computer-science","display_name":"Computer science","score":0.8031917810440063},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.7956439852714539},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7601602077484131},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.6728119850158691},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5841097235679626},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5361115336418152},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.4905361533164978},{"id":"https://openalex.org/keywords/physical-layer","display_name":"Physical layer","score":0.48855265974998474},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.47650161385536194},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4172406494617462},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4054344892501831},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34813982248306274},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.219282329082489},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1530352234840393},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10465201735496521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.06767997145652771}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8031917810440063},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.7956439852714539},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7601602077484131},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.6728119850158691},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5841097235679626},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5361115336418152},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.4905361533164978},{"id":"https://openalex.org/C19247436","wikidata":"https://www.wikidata.org/wiki/Q192727","display_name":"Physical layer","level":3,"score":0.48855265974998474},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.47650161385536194},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4172406494617462},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4054344892501831},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34813982248306274},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.219282329082489},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1530352234840393},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10465201735496521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.06767997145652771},{"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/twc.2022.3229077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2022.3229077","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5086156945","display_name":null,"funder_award_id":"61971176","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1899414988","https://openalex.org/W1968495205","https://openalex.org/W1996215314","https://openalex.org/W2060695112","https://openalex.org/W2062643660","https://openalex.org/W2063233137","https://openalex.org/W2107420624","https://openalex.org/W2110801500","https://openalex.org/W2133108373","https://openalex.org/W2155561378","https://openalex.org/W2350167977","https://openalex.org/W2522726285","https://openalex.org/W2784111728","https://openalex.org/W2793344736","https://openalex.org/W2795727899","https://openalex.org/W2797864638","https://openalex.org/W2811289161","https://openalex.org/W2887750170","https://openalex.org/W2898468860","https://openalex.org/W2921537971","https://openalex.org/W2933916434","https://openalex.org/W2963349609","https://openalex.org/W2964055054","https://openalex.org/W2981611438","https://openalex.org/W2987084653","https://openalex.org/W2998194861","https://openalex.org/W3080399934","https://openalex.org/W3095095911","https://openalex.org/W3099070819","https://openalex.org/W3117826402","https://openalex.org/W3127821067","https://openalex.org/W3131845990","https://openalex.org/W3133592136","https://openalex.org/W3185146227","https://openalex.org/W3188272948","https://openalex.org/W3193415426","https://openalex.org/W3193969125","https://openalex.org/W4205258563","https://openalex.org/W4205651202","https://openalex.org/W4226387990","https://openalex.org/W4313179853"],"related_works":["https://openalex.org/W2033488476","https://openalex.org/W2131092765","https://openalex.org/W1589992863","https://openalex.org/W2277662012","https://openalex.org/W1617457131","https://openalex.org/W4377015086","https://openalex.org/W2369090769","https://openalex.org/W2997509936","https://openalex.org/W136477243","https://openalex.org/W2766792752"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,18,24,35,44,48,53,67,71,77,104,116,120,125,130,143,146],"physical-layer":[4],"security":[5,154],"in":[6,150],"a":[7,29,60,81,111,137],"Virtual":[8],"Antenna":[9],"Array":[10],"(VAA)-aided":[11],"Device-to-Device":[12],"Multicast":[13],"(D2DM)":[14],"communication":[15,51,153],"system,":[16],"where":[17],"User":[19],"Equipments":[20],"(UEs)":[21],"who":[22,39],"cache":[23],"common":[25],"content":[26,36],"will":[27],"form":[28,110],"VAA":[30,69,113],"system":[31],"and":[32,70,83,93,133],"cooperatively":[33,109],"multicast":[34],"to":[37,114],"UEs":[38],"desire":[40],"it.":[41],"Specifically,":[42],"with":[43,156],"target":[45],"of":[46,55,145,152],"securing":[47,126],"VAA-aided":[49,147],"D2DM":[50,148,158],"under":[52],"threat":[54],"multiple":[56],"eavesdroppers,":[57],"we":[58,102,123],"propose":[59],"secure":[61],"beamforming":[62,127],"scheme":[63,149],"by":[64],"jointly":[65],"considering":[66],"formed":[68],"Base":[72],"Station":[73],"(BS).":[74],"For":[75],"obtaining":[76],"optimal":[78],"beamforing":[79],"vectors,":[80],"nonsmooth":[82],"nonconvex":[84],"Weight":[85],"Sum":[86],"Rate":[87],"Maximization":[88],"Problem":[89],"(WRMP)":[90],"is":[91],"formulated":[92],"solved":[94],"using":[95,136],"Successive":[96],"Convex":[97],"Approximation":[98],"(SCA)":[99],"approach.":[100],"Furthermore,":[101],"consider":[103],"worst":[105,121],"case":[106],"that":[107],"eavesdroppers":[108],"eavesdrop":[112],"enhance":[115],"overhearing":[117],"capacity.":[118],"In":[119],"case,":[122],"modify":[124],"scheme,":[128],"formulate":[129],"corresponding":[131],"WRMP":[132],"solve":[134],"it":[135],"two-level":[138],"optimization.":[139],"Simulation":[140],"results":[141],"validate":[142],"improvements":[144],"terms":[151],"compared":[155],"conventional":[157],"schemes.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}