{"id":"https://openalex.org/W3138423112","doi":"https://doi.org/10.1109/lwc.2021.3065712","title":"Secure Degrees-of-Freedom of the MIMO X Channel With Delayed CSIT","display_name":"Secure Degrees-of-Freedom of the MIMO X Channel With Delayed CSIT","publication_year":2021,"publication_date":"2021-03-12","ids":{"openalex":"https://openalex.org/W3138423112","doi":"https://doi.org/10.1109/lwc.2021.3065712","mag":"3138423112"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2021.3065712","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2021.3065712","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","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/A5075254989","display_name":"Tong Zhang","orcid":"https://orcid.org/0000-0002-6770-0664"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tong Zhang","raw_affiliation_strings":["University Key Laboratory of Advanced Wireless Communications of Guangdong Province, Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"University Key Laboratory of Advanced Wireless Communications of Guangdong Province, Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100431342","display_name":"Rui Wang","orcid":"https://orcid.org/0000-0003-0044-8932"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Wang","raw_affiliation_strings":["University Key Laboratory of Advanced Wireless Communications of Guangdong Province, Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"University Key Laboratory of Advanced Wireless Communications of Guangdong Province, Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075254989"],"corresponding_institution_ids":["https://openalex.org/I3045169105"],"apc_list":null,"apc_paid":null,"fwci":0.8022,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70939467,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"10","issue":"6","first_page":"1319","last_page":"1323"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.993399977684021,"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/generalization","display_name":"Generalization","score":0.7761636972427368},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.7230509519577026},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6844075918197632},{"id":"https://openalex.org/keywords/secure-transmission","display_name":"Secure transmission","score":0.6505099534988403},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.6212092638015747},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5533563494682312},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5026264190673828},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4831335246562958},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4751967191696167},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47430136799812317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4729844331741333},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4714064598083496},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4064917266368866},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3948622941970825},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3752140402793884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.334263414144516},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.3026235103607178},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21774646639823914},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14292746782302856},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09927013516426086},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07269918918609619}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7761636972427368},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.7230509519577026},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6844075918197632},{"id":"https://openalex.org/C2779814227","wikidata":"https://www.wikidata.org/wiki/Q7444882","display_name":"Secure transmission","level":3,"score":0.6505099534988403},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.6212092638015747},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5533563494682312},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5026264190673828},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4831335246562958},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4751967191696167},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47430136799812317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4729844331741333},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4714064598083496},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4064917266368866},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3948622941970825},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3752140402793884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.334263414144516},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.3026235103607178},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21774646639823914},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14292746782302856},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09927013516426086},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07269918918609619},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lwc.2021.3065712","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2021.3065712","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G3714742385","display_name":null,"funder_award_id":"61771232","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1796621330","https://openalex.org/W2056418000","https://openalex.org/W2106697356","https://openalex.org/W2108438541","https://openalex.org/W2113817460","https://openalex.org/W2124982134","https://openalex.org/W2130509920","https://openalex.org/W2200991597","https://openalex.org/W2205960012","https://openalex.org/W2536169641","https://openalex.org/W2803921113","https://openalex.org/W2939154461","https://openalex.org/W2964182504","https://openalex.org/W3099515973","https://openalex.org/W3111472228","https://openalex.org/W4250958385","https://openalex.org/W6728900288"],"related_works":["https://openalex.org/W2059045613","https://openalex.org/W4250215096","https://openalex.org/W2119209917","https://openalex.org/W884630482","https://openalex.org/W2145047504","https://openalex.org/W4250958385","https://openalex.org/W2159179523","https://openalex.org/W2025723618","https://openalex.org/W2552025594","https://openalex.org/W4211013851"],"abstract_inverted_index":{"In":[0,29],"this":[1,56],"letter,":[2],"we":[3,31,65,79,86],"study":[4],"the":[5,11,26,44,60,67,71,81,90,106,113,116],"secure":[6],"degrees-of-freedom":[7],"(SDoF)":[8],"characterization":[9],"for":[10],"multiple-input":[12],"multiple-output":[13],"(MIMO)":[14],"X":[15],"channel":[16,22],"with":[17,50],"confidential":[18],"messages":[19],"and":[20,49],"delayed":[21,51],"state":[23],"information":[24],"at":[25],"transmitter":[27],"(CSIT).":[28],"particular,":[30],"propose":[32],"a":[33,41,77],"transmission":[34,74],"scheme,":[35],"which":[36,64],"can":[37],"be":[38],"regarded":[39],"as":[40],"generalization":[42,57],"of":[43,55,70,92,109,115],"state-of-the-art":[45],"scheme":[46],"without":[47],"security":[48,61],"CSIT.":[52],"The":[53],"key":[54],"is":[58,104,119],"performing":[59],"analysis,":[62],"by":[63,96],"derive":[66,80],"optimal":[68],"duration":[69],"artificial":[72],"noise":[73],"phase.":[75],"As":[76],"result,":[78],"sum-SDoF":[82],"lower":[83,117],"bound.":[84],"Furthermore,":[85],"reveal":[87],"that":[88],"if":[89],"number":[91,108],"receive":[93],"antennas,":[94],"denoted":[95],"<inline-formula":[97,120],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[98,121],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[99,122],"<tex-math":[100,123],"notation=\"LaTeX\">${N}$":[101],"</tex-math></inline-formula>":[102,127],",":[103],"fixed,":[105],"minimum":[107],"transmit":[110],"antennas":[111],"achieving":[112],"maximum":[114],"bound":[118],"notation=\"LaTeX\">$\\frac":[124],"{7+\\sqrt":[125],"{33}}{8}N$":[126],".":[128]},"counts_by_year":[{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
