{"id":"https://openalex.org/W2068916891","doi":"https://doi.org/10.1109/tvt.2013.2285244","title":"Secrecy Rate Optimizations for a MIMO Secrecy Channel With a Multiple-Antenna Eavesdropper","display_name":"Secrecy Rate Optimizations for a MIMO Secrecy Channel With a Multiple-Antenna Eavesdropper","publication_year":2013,"publication_date":"2013-10-10","ids":{"openalex":"https://openalex.org/W2068916891","doi":"https://doi.org/10.1109/tvt.2013.2285244","mag":"2068916891"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2013.2285244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2013.2285244","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067366238","display_name":"Kanapathippillai Cumanan","orcid":"https://orcid.org/0000-0002-9735-7019"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kanapathippillai Cumanan","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon tyne, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon tyne, U.K","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002904166","display_name":"Zhiguo Ding","orcid":"https://orcid.org/0000-0001-5280-384X"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zhiguo Ding","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon tyne, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon tyne, U.K","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087572051","display_name":"B.S. Sharif","orcid":"https://orcid.org/0000-0002-8679-4272"},"institutions":[{"id":"https://openalex.org/I176601375","display_name":"Khalifa University of Science and Technology","ror":"https://ror.org/05hffr360","country_code":"AE","type":"education","lineage":["https://openalex.org/I176601375"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Bayan Sharif","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Khalifa University, Abu Dhabi, UAE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Khalifa University, Abu Dhabi, UAE","institution_ids":["https://openalex.org/I176601375"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037331514","display_name":"Gui Yun Tian","orcid":"https://orcid.org/0000-0002-7563-1523"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gui Yun Tian","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon tyne, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon tyne, U.K","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020917506","display_name":"Kin K. Leung","orcid":"https://orcid.org/0000-0002-3860-6257"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kin K. Leung","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College, London, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":10.2852,"has_fulltext":false,"cited_by_count":184,"citation_normalized_percentile":{"value":0.98573255,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"63","issue":"4","first_page":"1678","last_page":"1690"},"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":0.9991000294685364,"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":0.9987999796867371,"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/mimo","display_name":"MIMO","score":0.6966800689697266},{"id":"https://openalex.org/keywords/secrecy","display_name":"Secrecy","score":0.6957679986953735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6683998107910156},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.589293360710144},{"id":"https://openalex.org/keywords/artificial-noise","display_name":"Artificial noise","score":0.5492928624153137},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5364475846290588},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5311576128005981},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5208123922348022},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.46849188208580017},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42899972200393677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3321007490158081},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.25594979524612427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2186872959136963},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1681993305683136},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09726718068122864}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6966800689697266},{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.6957679986953735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6683998107910156},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.589293360710144},{"id":"https://openalex.org/C2780909371","wikidata":"https://www.wikidata.org/wiki/Q4801092","display_name":"Artificial noise","level":4,"score":0.5492928624153137},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5364475846290588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5311576128005981},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5208123922348022},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.46849188208580017},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42899972200393677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3321007490158081},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.25594979524612427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2186872959136963},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1681993305683136},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09726718068122864},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2013.2285244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2013.2285244","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6581078997","display_name":null,"funder_award_id":"EP/I037423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6681442858","display_name":null,"funder_award_id":"EP/F06151X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8283657698","display_name":null,"funder_award_id":"EP/E005071/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W46129499","https://openalex.org/W1509805685","https://openalex.org/W1527687627","https://openalex.org/W1568096262","https://openalex.org/W1974165189","https://openalex.org/W1984355813","https://openalex.org/W1998530521","https://openalex.org/W2007529001","https://openalex.org/W2025488327","https://openalex.org/W2029230808","https://openalex.org/W2043769961","https://openalex.org/W2045172350","https://openalex.org/W2072603128","https://openalex.org/W2077922910","https://openalex.org/W2079364662","https://openalex.org/W2080693943","https://openalex.org/W2096151870","https://openalex.org/W2097604186","https://openalex.org/W2101741374","https://openalex.org/W2102580724","https://openalex.org/W2104478100","https://openalex.org/W2104562009","https://openalex.org/W2110497942","https://openalex.org/W2113168978","https://openalex.org/W2116485279","https://openalex.org/W2119887065","https://openalex.org/W2124071994","https://openalex.org/W2124733114","https://openalex.org/W2125884950","https://openalex.org/W2129457795","https://openalex.org/W2130509920","https://openalex.org/W2133406100","https://openalex.org/W2136435501","https://openalex.org/W2140960275","https://openalex.org/W2142102521","https://openalex.org/W2144007657","https://openalex.org/W2162678712","https://openalex.org/W2166117654","https://openalex.org/W2166765763","https://openalex.org/W2167165277","https://openalex.org/W2168792413","https://openalex.org/W2171006634","https://openalex.org/W2296319761","https://openalex.org/W2949672874","https://openalex.org/W3126124664","https://openalex.org/W3210839039","https://openalex.org/W4250589301","https://openalex.org/W4293702014","https://openalex.org/W6649873444"],"related_works":["https://openalex.org/W2951619176","https://openalex.org/W2059045613","https://openalex.org/W4250215096","https://openalex.org/W2119209917","https://openalex.org/W2147127144","https://openalex.org/W2070619890","https://openalex.org/W2159179523","https://openalex.org/W2344350961","https://openalex.org/W2950791861","https://openalex.org/W2145047504"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"different":[3],"secrecy":[4,12,35,41,50,63,70,85,133,141,203,208],"rate":[5,42,51,64,71,86,134,142],"optimization":[6,43,54,87,102,135,157,192],"problems":[7,55,158],"for":[8,96],"a":[9,18,21,24,30],"multiple-input\u2013multiple-output":[10],"(MIMO)":[11],"channel.":[13],"In":[14,33,89,183],"particular,":[15],"we":[16,37,78,91,152],"consider":[17],"scenario":[19],"where":[20],"communication":[22],"through":[23],"MIMO":[25],"channel":[26,114,125,147],"is":[27],"overheard":[28],"by":[29,67,145],"multiple-antenna":[31],"eavesdropper.":[32],"this":[34,69],"network,":[36],"first":[38],"investigate":[39],"two":[40],"problems:":[44],"1)":[45],"power":[46],"minimization":[47],"and":[48,205],"2)":[49],"maximization.":[52],"These":[53,100],"are":[56,104,119,143],"not":[57],"convex":[58],"due":[59],"to":[60,82,175],"the":[61,93,97,107,110,129,139,177,180,189,195,201,206],"nonconvex":[62],"constraint.":[65],"However,":[66,117],"approximating":[68],"constraint":[72],"based":[73,137],"on":[74,138],"Taylor":[75],"series":[76],"expansion,":[77],"propose":[79],"iterative":[80,101],"algorithms":[81],"solve":[83],"these":[84,155],"problems.":[88],"addition,":[90,184],"provide":[92],"convergence":[94,178],"analysis":[95],"proposed":[98,181,190],"algorithms.":[99,182],"approaches":[103],"developed":[105],"under":[106],"assumption":[108],"that":[109,154,188],"transmitter":[111],"has":[112],"perfect":[113,124],"state":[115,126],"information.":[116],"there":[118],"practical":[120],"difficulties":[121],"in":[122,198],"having":[123],"information":[127],"at":[128,165],"transmitter.":[130],"Hence,":[131],"robust":[132,156,191],"techniques":[136,193],"worst-case":[140,202],"considered":[144],"incorporating":[146],"uncertainties.":[148],"By":[149],"exploiting":[150],"theS-Procedure,":[151],"show":[153,187],"can":[159],"be":[160],"formulated":[161],"into":[162],"semidefinite":[163],"programming":[164],"low":[166],"signal-to-noise":[167],"ratios":[168],"(SNRs).":[169],"Simulation":[170],"results":[171,186],"have":[172],"been":[173],"provided":[174],"validate":[176],"of":[179,200],"numerical":[185],"outperform":[194],"nonrobust":[196],"schemes":[197],"terms":[199],"rates":[204],"achieved":[207],"rates.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":25},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":9}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
