{"id":"https://openalex.org/W2387019571","doi":"https://doi.org/10.1109/tvt.2016.2566298","title":"Secrecy-Optimized Resource Allocation for Device-to-Device Communication Underlaying Heterogeneous Networks","display_name":"Secrecy-Optimized Resource Allocation for Device-to-Device Communication Underlaying Heterogeneous Networks","publication_year":2016,"publication_date":"2016-05-10","ids":{"openalex":"https://openalex.org/W2387019571","doi":"https://doi.org/10.1109/tvt.2016.2566298","mag":"2387019571"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2016.2566298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2016.2566298","pdf_url":null,"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":"green","oa_url":"http://ir.opt.ac.cn/handle/181661/28642","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101489051","display_name":"Kecheng Zhang","orcid":"https://orcid.org/0000-0002-4611-7648"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kecheng Zhang","raw_affiliation_strings":["Key Laboratory of Universal Wireless Communications of the Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications of the Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060203564","display_name":"Mugen Peng","orcid":"https://orcid.org/0000-0002-4755-7231"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mugen Peng","raw_affiliation_strings":["Key Laboratory of Universal Wireless Communications of the Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications of the Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100405787","display_name":"Ping Zhang","orcid":"https://orcid.org/0000-0002-0269-104X"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Zhang","raw_affiliation_strings":["State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100740143","display_name":"Xuelong Li","orcid":"https://orcid.org/0000-0002-0019-4197"},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuelong Li","raw_affiliation_strings":["Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Center for Optical Imagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an, China","institution_ids":["https://openalex.org/I4210144662"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101489051"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":null,"apc_paid":null,"fwci":5.3291,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.95988788,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"66","issue":"2","first_page":"1822","last_page":"1834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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":1.0,"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/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/T11392","display_name":"Energy Harvesting in Wireless Networks","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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6624318361282349},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.6452659368515015},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.6029719710350037},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5994031429290771},{"id":"https://openalex.org/keywords/eavesdropping","display_name":"Eavesdropping","score":0.544533908367157},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5301500558853149},{"id":"https://openalex.org/keywords/heterogeneous-network","display_name":"Heterogeneous network","score":0.5180506706237793},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5005333423614502},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.48191335797309875},{"id":"https://openalex.org/keywords/user-equipment","display_name":"User equipment","score":0.4609852731227875},{"id":"https://openalex.org/keywords/resource-management","display_name":"Resource management (computing)","score":0.44263955950737},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4312824308872223},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.42646247148513794},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.3397217392921448},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.2639508843421936},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2596164345741272},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.2517296075820923},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.2210221290588379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17429235577583313},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14953535795211792},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10311490297317505}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6624318361282349},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.6452659368515015},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.6029719710350037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5994031429290771},{"id":"https://openalex.org/C2776788033","wikidata":"https://www.wikidata.org/wiki/Q320769","display_name":"Eavesdropping","level":2,"score":0.544533908367157},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5301500558853149},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.5180506706237793},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5005333423614502},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.48191335797309875},{"id":"https://openalex.org/C2781327853","wikidata":"https://www.wikidata.org/wiki/Q3552547","display_name":"User equipment","level":3,"score":0.4609852731227875},{"id":"https://openalex.org/C2780609101","wikidata":"https://www.wikidata.org/wiki/Q17156588","display_name":"Resource management (computing)","level":2,"score":0.44263955950737},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4312824308872223},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.42646247148513794},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.3397217392921448},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.2639508843421936},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2596164345741272},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.2517296075820923},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.2210221290588379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17429235577583313},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14953535795211792},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10311490297317505},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvt.2016.2566298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2016.2566298","pdf_url":null,"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"},{"id":"pmh:oai:ir.opt.ac.cn:181661/28642","is_oa":true,"landing_page_url":"http://ir.opt.ac.cn/handle/181661/28642","pdf_url":null,"source":{"id":"https://openalex.org/S4377196962","display_name":"Institutional Repository of Xi'an Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Xian Institute of Optics and Precision Mechanics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210144662","host_organization_name":"Xi'an Institute of Optics and Precision Mechanics","host_organization_lineage":["https://openalex.org/I4210144662"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:ir.opt.ac.cn:181661/28642","is_oa":true,"landing_page_url":"http://ir.opt.ac.cn/handle/181661/28642","pdf_url":null,"source":{"id":"https://openalex.org/S4377196962","display_name":"Institutional Repository of Xi'an Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Xian Institute of Optics and Precision Mechanics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210144662","host_organization_name":"Xi'an Institute of Optics and Precision Mechanics","host_organization_lineage":["https://openalex.org/I4210144662"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G2376450342","display_name":null,"funder_award_id":"61361166005","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W849108137","https://openalex.org/W1999732711","https://openalex.org/W2006599533","https://openalex.org/W2013366448","https://openalex.org/W2014547883","https://openalex.org/W2019905317","https://openalex.org/W2025522187","https://openalex.org/W2036210457","https://openalex.org/W2039685939","https://openalex.org/W2062643660","https://openalex.org/W2066106876","https://openalex.org/W2067181210","https://openalex.org/W2071186128","https://openalex.org/W2075232794","https://openalex.org/W2085076378","https://openalex.org/W2085485928","https://openalex.org/W2086229459","https://openalex.org/W2091548991","https://openalex.org/W2107872194","https://openalex.org/W2110064631","https://openalex.org/W2121707393","https://openalex.org/W2129573153","https://openalex.org/W2130171753","https://openalex.org/W2133406100","https://openalex.org/W2141929741","https://openalex.org/W2167165277","https://openalex.org/W2171006634","https://openalex.org/W3103561649"],"related_works":["https://openalex.org/W2967991829","https://openalex.org/W2096380022","https://openalex.org/W2949938480","https://openalex.org/W3185837504","https://openalex.org/W2740113683","https://openalex.org/W2034423342","https://openalex.org/W3124399021","https://openalex.org/W2951687418","https://openalex.org/W4313492266","https://openalex.org/W3100836198"],"abstract_inverted_index":{"Device-to-device":[0],"(D2D)":[1],"communications":[2],"have":[3],"recently":[4],"attracted":[5],"much":[6],"attention":[7],"for":[8,47,67],"the":[9,18,44,56,62,109,114,129,142,146,153,160],"potential":[10],"capability":[11],"to":[12,24,42,60,98,120,134],"improve":[13],"spectral":[14],"efficiency":[15],"(SE)":[16],"underlaying":[17,70],"existing":[19],"heterogeneous":[20],"networks":[21],"(HetNets).":[22],"Due":[23],"no":[25],"sophisticated":[26],"control,":[27],"D2D-worked":[28],"user":[29],"equipments":[30],"(DUEs)":[31],"themselves":[32],"cannot":[33],"resist":[34],"eavesdropping":[35],"or":[36],"security":[37],"attacks.":[38],"It":[39],"is":[40,94,101,117,132],"urgent":[41],"maximize":[43,61],"secure":[45,63,161],"capacity":[46,64,162],"both":[48],"cellular":[49],"users":[50],"and":[51,78,90,96],"DUEs.":[52],"This":[53],"paper":[54],"formulates":[55],"radio":[57,155],"resource-allocation":[58,156],"problem":[59,116,139],"of":[65,74,113,145],"DUEs":[66],"D2D":[68],"communication":[69],"HetNets,":[71],"which":[72,93],"consist":[73],"high-power":[75],"nodes":[76,80],"(HPNs)":[77],"low-power":[79],"(LPNs).":[81],"The":[82],"optimization":[83,115],"objective":[84],"function":[85],"with":[86,163],"transmit":[87],"bit":[88],"rate":[89],"power":[91],"constraints,":[92],"nonconvex":[95],"hard":[97],"directly":[99],"derive,":[100],"first":[102],"transformed":[103],"into":[104],"a":[105,164],"matrix":[106],"form.":[107],"Then,":[108],"equivalent":[110,137],"convex":[111,138],"form":[112],"derived":[118],"according":[119],"Perron-Frobenius":[121],"theory.":[122],"A":[123],"heuristic":[124],"iterative":[125],"algorithm":[126],"based":[127],"on":[128],"proximal":[130,143],"theory":[131],"proposed":[133,154],"solve":[135],"this":[136],"through":[140],"evaluating":[141],"operator":[144],"Lagrange":[147],"function.":[148],"Numerical":[149],"results":[150],"show":[151],"that":[152],"solution":[157],"significantly":[158],"improves":[159],"fast":[165],"convergence":[166],"speed.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
