{"id":"https://openalex.org/W2617309511","doi":"https://doi.org/10.1109/tcomm.2017.2708110","title":"Joint Transceiver Design for Secure Downlink Communications Over an Amplify-and-Forward MIMO Relay","display_name":"Joint Transceiver Design for Secure Downlink Communications Over an Amplify-and-Forward MIMO Relay","publication_year":2017,"publication_date":"2017-05-25","ids":{"openalex":"https://openalex.org/W2617309511","doi":"https://doi.org/10.1109/tcomm.2017.2708110","mag":"2617309511"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2017.2708110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2017.2708110","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 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/A5034376590","display_name":"Yunlong Cai","orcid":"https://orcid.org/0000-0001-9418-1700"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunlong Cai","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-9418-1700","affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059252324","display_name":"Qingjiang Shi","orcid":"https://orcid.org/0000-0003-0507-9080"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingjiang Shi","raw_affiliation_strings":["College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101474760","display_name":"Beno\u0131\u0302t Champagne","orcid":"https://orcid.org/0000-0002-0022-6072"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Benoit Champagne","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039289964","display_name":"Geoffrey Ye Li","orcid":"https://orcid.org/0000-0002-7894-2415"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Geoffrey Ye Li","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8305,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.8610843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"65","issue":"9","first_page":"3691","last_page":"3704"},"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":0.9995999932289124,"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":0.9943000078201294,"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/relay","display_name":"Relay","score":0.7452265620231628},{"id":"https://openalex.org/keywords/artificial-noise","display_name":"Artificial noise","score":0.7316573858261108},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.7014996409416199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6737819910049438},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.6510865092277527},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.597926139831543},{"id":"https://openalex.org/keywords/transceiver","display_name":"Transceiver","score":0.5872943997383118},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5179630517959595},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49663835763931274},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4391518235206604},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.41649532318115234},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3534918427467346},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.31687813997268677},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.24284616112709045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22727063298225403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1884009838104248},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1667415201663971},{"id":"https://openalex.org/keywords/physical-layer","display_name":"Physical layer","score":0.1229088306427002}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7452265620231628},{"id":"https://openalex.org/C2780909371","wikidata":"https://www.wikidata.org/wiki/Q4801092","display_name":"Artificial noise","level":4,"score":0.7316573858261108},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.7014996409416199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6737819910049438},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.6510865092277527},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.597926139831543},{"id":"https://openalex.org/C7720470","wikidata":"https://www.wikidata.org/wiki/Q954187","display_name":"Transceiver","level":3,"score":0.5872943997383118},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5179630517959595},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49663835763931274},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4391518235206604},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.41649532318115234},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3534918427467346},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.31687813997268677},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.24284616112709045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22727063298225403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1884009838104248},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1667415201663971},{"id":"https://openalex.org/C19247436","wikidata":"https://www.wikidata.org/wiki/Q192727","display_name":"Physical layer","level":3,"score":0.1229088306427002},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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":1,"locations":[{"id":"doi:10.1109/tcomm.2017.2708110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2017.2708110","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G381434843","display_name":"\u5e7f\u57df\u52a8\u6001\u9891\u8c31\u6001\u52bf\u57fa\u7840\u7406\u8bba\u4e0e\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61631020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7557556035","display_name":null,"funder_award_id":"61671411","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8436842407","display_name":"\u5927\u89c4\u6a21MIMO\u7cfb\u7edf\u4e2d\u4fe1\u53f7\u5904\u7406\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61471319","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W52732363","https://openalex.org/W252932944","https://openalex.org/W949353694","https://openalex.org/W1515073954","https://openalex.org/W1970027802","https://openalex.org/W1970334960","https://openalex.org/W1972785130","https://openalex.org/W1975233118","https://openalex.org/W1986634396","https://openalex.org/W1989064223","https://openalex.org/W2020998040","https://openalex.org/W2021471051","https://openalex.org/W2032278718","https://openalex.org/W2042599231","https://openalex.org/W2043769961","https://openalex.org/W2052400556","https://openalex.org/W2056973119","https://openalex.org/W2103063389","https://openalex.org/W2103781722","https://openalex.org/W2122653429","https://openalex.org/W2124071994","https://openalex.org/W2124541995","https://openalex.org/W2133406100","https://openalex.org/W2137853299","https://openalex.org/W2151488545","https://openalex.org/W2152121970","https://openalex.org/W2166765763","https://openalex.org/W2171006634","https://openalex.org/W2294142022","https://openalex.org/W2461301363","https://openalex.org/W2515197335","https://openalex.org/W2550611391","https://openalex.org/W2563720504","https://openalex.org/W2615711751","https://openalex.org/W2949672874","https://openalex.org/W2963579802","https://openalex.org/W2963929289","https://openalex.org/W3140025309","https://openalex.org/W4229706427","https://openalex.org/W4242209908","https://openalex.org/W4250589301","https://openalex.org/W4252937232","https://openalex.org/W4289784446","https://openalex.org/W4293702014","https://openalex.org/W6680293426"],"related_works":["https://openalex.org/W2994678687","https://openalex.org/W3159852908","https://openalex.org/W2478698443","https://openalex.org/W2741591884","https://openalex.org/W1498238661","https://openalex.org/W3156595664","https://openalex.org/W2340550229","https://openalex.org/W2790990878","https://openalex.org/W2950274618","https://openalex.org/W2886997539"],"abstract_inverted_index":{"This":[0,86],"paper":[1],"addresses":[2],"joint":[3,177],"transceiver":[4,178,206],"design":[5,96,179],"for":[6,82],"secure":[7],"downlink":[8],"communications":[9],"over":[10],"a":[11,106,130,183],"multiple-input":[12],"multiple-output":[13],"relay":[14,37],"system":[15,55],"in":[16,59,98],"the":[17,30,36,44,54,60,63,70,73,83,93,99,121,135,142,146,153,156,168,175,187,196],"presence":[18,61],"of":[19,47,62,79,108,186],"multiple":[20],"legitimate":[21,84],"users":[22],"and":[23,43,72,102,127,155],"malicious":[24],"eavesdroppers.":[25],"Specifically,":[26],"we":[27,110,125],"jointly":[28],"optimize":[29],"base":[31],"station":[32,38],"(BS)":[33],"beamforming":[34],"matrix,":[35,42],"(RS)":[39],"amplify-and-forward":[40],"transformation":[41],"covariance":[45],"matrix":[46],"artificial":[48],"noise,":[49],"so":[50],"as":[51,75,77],"to":[52,92,140,167,182],"maximize":[53],"worst-case":[56],"secrecy":[57],"rate":[58],"colluding":[64],"eavesdroppers":[65],"under":[66],"power":[67],"constraints":[68,81],"at":[69,162],"BS":[71],"RS,":[74],"well":[76],"quality":[78],"service":[80],"users.":[85],"problem":[87,115,159],"is":[88,117,150,160,172],"very":[89],"challenging":[90],"due":[91],"highly":[94],"coupled":[95,148],"variables":[97],"objective":[100,154],"function":[101],"constraints.":[103],"By":[104],"adopting":[105],"series":[107],"transformation,":[109],"first":[111],"derive":[112],"an":[113],"equivalent":[114,143],"that":[116,174,195],"more":[118],"tractable":[119],"than":[120,202],"original":[122,188],"one.":[123],"Then,":[124],"propose":[126],"fully":[128],"develop":[129],"novel":[131],"algorithm":[132,180,198],"based":[133],"on":[134],"penalty":[136],"concave-convex":[137],"procedure":[138],"(penalty-CCCP)":[139],"solve":[141],"problem,":[144],"where":[145],"difficult":[147],"constraint":[149],"penalized":[151],"into":[152],"resulting":[157],"nonconvex":[158],"solved":[161],"each":[163],"iteration":[164],"by":[165],"resorting":[166],"CCCP":[169],"method.":[170],"It":[171],"shown":[173],"proposed":[176,197,205],"converges":[181],"stationary":[184],"solution":[185],"problem.":[189],"Finally,":[190],"our":[191],"simulation":[192],"results":[193],"reveal":[194],"achieves":[199],"better":[200],"performance":[201],"other":[203],"recently":[204],"designs.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
