{"id":"https://openalex.org/W2806393332","doi":"https://doi.org/10.1109/tifs.2018.2825944","title":"Artificial Noise Aided Secure Precoding for MIMO Untrusted Two-Way Relay Systems With Perfect and Imperfect Channel State Information","display_name":"Artificial Noise Aided Secure Precoding for MIMO Untrusted Two-Way Relay Systems With Perfect and Imperfect Channel State Information","publication_year":2018,"publication_date":"2018-04-11","ids":{"openalex":"https://openalex.org/W2806393332","doi":"https://doi.org/10.1109/tifs.2018.2825944","mag":"2806393332"},"language":"en","primary_location":{"id":"doi:10.1109/tifs.2018.2825944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2018.2825944","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"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 Information Forensics and Security","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/A5029717787","display_name":"Quanzhong Li","orcid":"https://orcid.org/0000-0001-8047-2830"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quanzhong Li","raw_affiliation_strings":["School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-8047-2830","affiliations":[{"raw_affiliation_string":"School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015729753","display_name":"Liang Yang","orcid":"https://orcid.org/0000-0002-6576-332X"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Yang","raw_affiliation_strings":["Department of Communication Engineering, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-6576-332X","affiliations":[{"raw_affiliation_string":"Department of Communication Engineering, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.1984,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.94799275,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"13","issue":"10","first_page":"2628","last_page":"2638"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9965000152587891,"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":0.975600004196167,"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/precoding","display_name":"Precoding","score":0.8951771259307861},{"id":"https://openalex.org/keywords/artificial-noise","display_name":"Artificial noise","score":0.8703185319900513},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.8091983795166016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7215876579284668},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.6322116255760193},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5717364549636841},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.5234905481338501},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.518307626247406},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5120685696601868},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.47411873936653137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4671596586704254},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4521324038505554},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4486503601074219},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.41303110122680664},{"id":"https://openalex.org/keywords/physical-layer","display_name":"Physical layer","score":0.39029407501220703},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.28504669666290283},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2776978611946106},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2621764540672302},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.22421714663505554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2147071659564972},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.19939079880714417},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.19169428944587708}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.8951771259307861},{"id":"https://openalex.org/C2780909371","wikidata":"https://www.wikidata.org/wiki/Q4801092","display_name":"Artificial noise","level":4,"score":0.8703185319900513},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8091983795166016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7215876579284668},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.6322116255760193},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5717364549636841},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.5234905481338501},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.518307626247406},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5120685696601868},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.47411873936653137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4671596586704254},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4521324038505554},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4486503601074219},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.41303110122680664},{"id":"https://openalex.org/C19247436","wikidata":"https://www.wikidata.org/wiki/Q192727","display_name":"Physical layer","level":3,"score":0.39029407501220703},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.28504669666290283},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2776978611946106},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2621764540672302},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.22421714663505554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2147071659564972},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.19939079880714417},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.19169428944587708},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tifs.2018.2825944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2018.2825944","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"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 Information Forensics and Security","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G179756427","display_name":null,"funder_award_id":"2014A030310374","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G4806238581","display_name":null,"funder_award_id":"2016KZDXM050","funder_id":"https://openalex.org/F4320326279","funder_display_name":"Department of Education of Guangdong Province"},{"id":"https://openalex.org/G6579013691","display_name":"FSO\u4e2d\u7ee7\u7cfb\u7edf\u53ca\u5176\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61671160","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/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320326279","display_name":"Department of Education of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W81972919","https://openalex.org/W391578156","https://openalex.org/W1632601927","https://openalex.org/W1970830346","https://openalex.org/W1975233118","https://openalex.org/W1997834106","https://openalex.org/W2005734988","https://openalex.org/W2032278718","https://openalex.org/W2053249558","https://openalex.org/W2055701814","https://openalex.org/W2097480027","https://openalex.org/W2113168978","https://openalex.org/W2117702206","https://openalex.org/W2129457795","https://openalex.org/W2137552535","https://openalex.org/W2156445794","https://openalex.org/W2215815030","https://openalex.org/W2292300087","https://openalex.org/W2294142022","https://openalex.org/W2343272313","https://openalex.org/W2518778058","https://openalex.org/W2751404123","https://openalex.org/W2963791781","https://openalex.org/W4250589301","https://openalex.org/W6688645734"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2326544815","https://openalex.org/W1973158664","https://openalex.org/W1731022149","https://openalex.org/W1996933839","https://openalex.org/W2000226056","https://openalex.org/W4386858283","https://openalex.org/W2878548210","https://openalex.org/W2952382957","https://openalex.org/W1979654659"],"abstract_inverted_index":{"Physical-layer":[0],"secure":[1,15,92,172],"is":[2,30,38,84],"an":[3],"important":[4],"issue":[5],"for":[6,18],"untrusted":[7,22],"relay":[8,24,37,65,131],"systems.":[9],"In":[10],"this":[11],"paper,":[12],"we":[13,89,149],"investigate":[14],"precoding":[16,93,173],"design":[17],"non-regenerative":[19],"multiple-input":[20],"multiple-output":[21],"two-way":[23],"systems,":[25],"where":[26],"artificial":[27],"noise":[28],"(AN)":[29],"applied":[31],"at":[32],"the":[33,36,44,51,58,62,82,87,91,124,130,147,151,160,170,181],"source":[34],"and":[35,54,57,64,75,101,136,158],"untrusted.":[39],"We":[40,69,118],"aim":[41],"to":[42,95,141,168,179],"maximize":[43],"secrecy":[45,126],"sum":[46,127],"rate":[47,128],"by":[48,154],"jointly":[49],"designing":[50],"source's":[52],"signal":[53],"AN":[55],"precoders":[56],"relay's":[59],"precoder,":[60],"under":[61],"sources":[63],"transmit":[66,132],"power":[67,133],"constraints.":[68],"consider":[70],"two":[71],"scenarios":[72],"that":[73],"perfect":[74],"imperfect":[76],"channel":[77,152],"state":[78],"information":[79],"of":[80,98,183],"all":[81],"channels":[83],"available.":[85],"For":[86,146],"former,":[88],"convert":[90],"problem":[94],"a":[96,103,114],"difference":[97],"convex":[99,106],"programming":[100],"develop":[102],"constrained":[104],"concave":[105],"procedure":[107],"based":[108,166],"iterative":[109],"algorithm":[110],"which":[111],"can":[112],"obtain":[113],"local":[115],"optimal":[116,144],"solution.":[117],"also":[119],"provide":[120],"asymptotic":[121,143],"analysis":[122],"on":[123],"maximum":[125],"when":[129],"approaches":[134],"infinity,":[135],"propose":[137,159],"alternating":[138],"optimization":[139],"method":[140,167],"compute":[142],"precoders.":[145],"latter,":[148],"model":[150],"uncertainties":[153],"using":[155],"worst-case":[156],"criterion":[157],"weighted":[161],"minimum":[162],"mean":[163],"square":[164],"error":[165],"solve":[169],"robust":[171],"problem.":[174],"Numerical":[175],"simulations":[176],"are":[177],"presented":[178],"show":[180],"effectiveness":[182],"our":[184],"proposed":[185],"schemes.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":6}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
