{"id":"https://openalex.org/W2937963078","doi":"https://doi.org/10.1109/vtcfall.2018.8690748","title":"Maximum Secrecy-Key Capacity Design for Amplify-and-Forward Relays in Secure Cooperative Networks","display_name":"Maximum Secrecy-Key Capacity Design for Amplify-and-Forward Relays in Secure Cooperative Networks","publication_year":2018,"publication_date":"2018-08-01","ids":{"openalex":"https://openalex.org/W2937963078","doi":"https://doi.org/10.1109/vtcfall.2018.8690748","mag":"2937963078"},"language":"en","primary_location":{"id":"doi:10.1109/vtcfall.2018.8690748","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtcfall.2018.8690748","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE 88th Vehicular Technology Conference (VTC-Fall)","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/A5047945232","display_name":"Shiwei Yan","orcid":"https://orcid.org/0000-0002-0614-9135"},"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":"Shiwei Yan","raw_affiliation_strings":["School of Electronics Engineering and Computer Science, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101102578","display_name":"Mengfei Xie","orcid":null},"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":"Mengfei Xie","raw_affiliation_strings":["School of Electronics Engineering and Computer Science, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020832054","display_name":"Huanrong Sun","orcid":null},"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":"Huanrong Sun","raw_affiliation_strings":["School of Electronics Engineering and Computer Science, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111897594","display_name":"Yong Shang","orcid":null},"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":"Yong Shang","raw_affiliation_strings":["School of Electronics Engineering and Computer Science, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18642771,"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":"1","last_page":"6"},"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9958999752998352,"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":0.8753211498260498},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.719322919845581},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.6779930591583252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6301847696304321},{"id":"https://openalex.org/keywords/secrecy","display_name":"Secrecy","score":0.5403438210487366},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4912354350090027},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4692060351371765},{"id":"https://openalex.org/keywords/physical-layer","display_name":"Physical layer","score":0.46050095558166504},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45740771293640137},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.26590096950531006},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.23422271013259888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21376657485961914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1931530237197876},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.18028545379638672},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07814756035804749}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8753211498260498},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.719322919845581},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.6779930591583252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6301847696304321},{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.5403438210487366},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4912354350090027},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4692060351371765},{"id":"https://openalex.org/C19247436","wikidata":"https://www.wikidata.org/wiki/Q192727","display_name":"Physical layer","level":3,"score":0.46050095558166504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45740771293640137},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.26590096950531006},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.23422271013259888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21376657485961914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1931530237197876},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.18028545379638672},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07814756035804749},{"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},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/vtcfall.2018.8690748","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtcfall.2018.8690748","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE 88th Vehicular Technology Conference (VTC-Fall)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W252932944","https://openalex.org/W949353694","https://openalex.org/W1875021344","https://openalex.org/W1996215314","https://openalex.org/W2101176848","https://openalex.org/W2106833918","https://openalex.org/W2108777864","https://openalex.org/W2109394932","https://openalex.org/W2123658733","https://openalex.org/W2129477191","https://openalex.org/W2136823423","https://openalex.org/W2145518237","https://openalex.org/W2154300278","https://openalex.org/W2169208293","https://openalex.org/W4250589301","https://openalex.org/W6674856343"],"related_works":["https://openalex.org/W2493929861","https://openalex.org/W2765236478","https://openalex.org/W4360996312","https://openalex.org/W2529506699","https://openalex.org/W2766792752","https://openalex.org/W4286569445","https://openalex.org/W4315783257","https://openalex.org/W2047743558","https://openalex.org/W2908171849","https://openalex.org/W1502347072"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,9,14,25,39,40,68,72,96,104,107,121,125,127,138,147,155,181,185,195,204,220],"secret-key":[6,32,41,69,81],"capacity":[7,33,42,70,82,172],"of":[8,31,110,120,157,163,206,212],"secure":[10],"cooperative":[11],"network":[12],"using":[13,95],"collaborative":[15],"amplify-andforward":[16],"(AF)":[17],"relays":[18],"to":[19,37,66,106,134,178,188,218],"form":[20],"a":[21,189],"beamforming":[22,54,62,84,144,149,174],"system":[23],"through":[24],"physical":[26],"layer.":[27],"The":[28,77,165],"closed-form":[29],"expression":[30],"is":[34,43,86,103,116,159,176,208],"firstly":[35],"given":[36],"prove":[38],"not":[44,152],"only":[45],"achievable":[46],"but":[47,113],"can":[48,199],"be":[49,135],"designed":[50,177],"and":[51,92,197],"optimized":[52],"by":[53,57,94,193],"vector":[55],"formed":[56],"AF":[58],"relays.":[59,164,213],"Furthermore,":[60],"three":[61],"solutions":[63],"are":[64,132,216],"proposed":[65,221],"maximize":[67],"under":[71],"total":[73],"relay":[74],"power":[75],"constraint.":[76],"first":[78],"solution,":[79,85,167,175],"maximum":[80,170],"(MSKC)":[83],"aimed":[87],"towards":[88],"two-level":[89],"optimization":[90,191],"problems":[91],"performed":[93],"semidefinite":[97],"relaxation":[98],"(SDR)":[99],"technique.":[100],"This":[101],"solution":[102,109,140,150],"closest":[105],"optimal":[108],"original":[111,186],"problem,":[112],"its":[114],"complexity":[115],"very":[117],"high":[118],"because":[119],"SDPs.":[122],"To":[123],"decrease":[124],"complexity,":[126],"signals":[128],"at":[129],"all":[130],"eavesdroppers":[131,158,207],"forced":[133],"zero,":[136],"producing":[137],"second":[139],"named":[141],"zero-forcing":[142],"(ZF)":[143],"solution.":[145],"However,":[146],"ZF":[148],"does":[151],"work":[153,201],"when":[154,203],"number":[156,205],"larger":[160,209],"than":[161,210],"that":[162,211],"third":[166],"lower":[168],"bound":[169],"secretkey":[171],"(LB-MSKC)":[173],"make":[179],"up":[180],"loss.":[182],"It":[183],"simplifies":[184],"problem":[187,192],"one-level":[190],"relaxing":[194],"eavesdroppers,":[196],"it":[198],"still":[200],"well":[202],"Simulation":[214],"results":[215],"presented":[217],"illustrate":[219],"solutions.":[222]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}