{"id":"https://openalex.org/W2567863460","doi":"https://doi.org/10.1109/tit.2017.2648742","title":"The Secrecy Capacity of Gaussian MIMO Channels With Finite Memory","display_name":"The Secrecy Capacity of Gaussian MIMO Channels With Finite Memory","publication_year":2017,"publication_date":"2017-01-04","ids":{"openalex":"https://openalex.org/W2567863460","doi":"https://doi.org/10.1109/tit.2017.2648742","mag":"2567863460"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2648742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2648742","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Theory","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/A5012405763","display_name":"Nir Shlezinger","orcid":"https://orcid.org/0000-0003-2234-929X"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Nir Shlezinger","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ben-Gurion University, Be\u2019er-Sheva, Israel","Department of Electrical and Computer Engineering, Ben-Gurion University, Be'er-Sheva, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ben-Gurion University, Be\u2019er-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ben-Gurion University, Be'er-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012756528","display_name":"Daniel Zahavi","orcid":"https://orcid.org/0000-0001-5687-2295"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Daniel Zahavi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ben-Gurion University, Be\u2019er-Sheva, Israel","Department of Electrical and Computer Engineering, Ben-Gurion University, Be'er-Sheva, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ben-Gurion University, Be\u2019er-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ben-Gurion University, Be'er-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071626817","display_name":"Yonathan Murin","orcid":"https://orcid.org/0000-0003-0228-9162"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yonathan Murin","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009852532","display_name":"Ron Dabora","orcid":"https://orcid.org/0000-0001-8486-1243"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ron Dabora","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ben-Gurion University, Be\u2019er-Sheva, Israel","Department of Electrical and Computer Engineering, Ben-Gurion University, Be'er-Sheva, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ben-Gurion University, Be\u2019er-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ben-Gurion University, Be'er-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012405763"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":2.7745,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.90798803,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"63","issue":"3","first_page":"1874","last_page":"1897"},"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":0.9987000226974487,"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":0.995199978351593,"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":0.8129065036773682},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5130195021629333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5020253658294678},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4644468128681183},{"id":"https://openalex.org/keywords/multi-user-mimo","display_name":"Multi-user MIMO","score":0.4359118342399597},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.35954684019088745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34435927867889404},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.28881409764289856}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.8129065036773682},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5130195021629333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5020253658294678},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4644468128681183},{"id":"https://openalex.org/C91330434","wikidata":"https://www.wikidata.org/wiki/Q738298","display_name":"Multi-user MIMO","level":4,"score":0.4359118342399597},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.35954684019088745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34435927867889404},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.28881409764289856},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2648742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2648742","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.44999998807907104,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":80,"referenced_works":["https://openalex.org/W10654113","https://openalex.org/W52732363","https://openalex.org/W169421639","https://openalex.org/W252932944","https://openalex.org/W565955800","https://openalex.org/W949353694","https://openalex.org/W1487444668","https://openalex.org/W1494099594","https://openalex.org/W1596307101","https://openalex.org/W1667165204","https://openalex.org/W1766888123","https://openalex.org/W1970334960","https://openalex.org/W1976422186","https://openalex.org/W1983491942","https://openalex.org/W1988653434","https://openalex.org/W1989008275","https://openalex.org/W1996209629","https://openalex.org/W1998622818","https://openalex.org/W2001959502","https://openalex.org/W2030546921","https://openalex.org/W2043769961","https://openalex.org/W2045172350","https://openalex.org/W2055701814","https://openalex.org/W2060384630","https://openalex.org/W2060385240","https://openalex.org/W2072563372","https://openalex.org/W2080693943","https://openalex.org/W2083048215","https://openalex.org/W2088124680","https://openalex.org/W2089758604","https://openalex.org/W2091696547","https://openalex.org/W2097415784","https://openalex.org/W2098567664","https://openalex.org/W2098918476","https://openalex.org/W2099111195","https://openalex.org/W2101413281","https://openalex.org/W2102950464","https://openalex.org/W2104183221","https://openalex.org/W2104562009","https://openalex.org/W2104939087","https://openalex.org/W2109243041","https://openalex.org/W2111616148","https://openalex.org/W2112967760","https://openalex.org/W2115843455","https://openalex.org/W2117886229","https://openalex.org/W2119866123","https://openalex.org/W2122900782","https://openalex.org/W2125643863","https://openalex.org/W2126170939","https://openalex.org/W2128153585","https://openalex.org/W2129776600","https://openalex.org/W2130334496","https://openalex.org/W2133406100","https://openalex.org/W2142270203","https://openalex.org/W2142901448","https://openalex.org/W2144007657","https://openalex.org/W2147348113","https://openalex.org/W2151711158","https://openalex.org/W2156214717","https://openalex.org/W2159437533","https://openalex.org/W2159687282","https://openalex.org/W2167035022","https://openalex.org/W2172233962","https://openalex.org/W2431530799","https://openalex.org/W2478708596","https://openalex.org/W2507026757","https://openalex.org/W2539764566","https://openalex.org/W2573483197","https://openalex.org/W2595897327","https://openalex.org/W2610857016","https://openalex.org/W2949672874","https://openalex.org/W3102324608","https://openalex.org/W3103382732","https://openalex.org/W4236249660","https://openalex.org/W4236434641","https://openalex.org/W4255052368","https://openalex.org/W4300840296","https://openalex.org/W4301621763","https://openalex.org/W4385628969","https://openalex.org/W6724680933"],"related_works":["https://openalex.org/W2545343974","https://openalex.org/W2164743418","https://openalex.org/W2558549271","https://openalex.org/W1539855486","https://openalex.org/W1972421050","https://openalex.org/W3198080347","https://openalex.org/W2355231046","https://openalex.org/W1579662240","https://openalex.org/W2002714030","https://openalex.org/W4231582551"],"abstract_inverted_index":{"In":[0],"this":[1,168,194],"paper,":[2],"we":[3,68,135,143,172],"study":[4],"the":[5,28,57,61,91,98,108,112,126,131,146,150,178,189],"secrecy":[6,58,95,109,147,169,179],"capacity":[7,59,96,110,148,180],"of":[8,60,84,97,111,114,139,149,181,188],"Gaussian":[9,62,99,151],"multiple-input":[10],"multiple-output":[11],"(MIMO)":[12],"wiretap":[13],"channels":[14,33],"(WTCs)":[15],"with":[16,34,65,102,154],"a":[17,22,82,164],"finite":[18,35,66,103,155],"memory,":[19,67],"subject":[20],"to":[21,176],"per-symbol":[23],"average":[24],"power":[25,53],"constraint":[26],"on":[27],"MIMO":[29,32,63,75,88,100,118],"channel":[30,195],"input.":[31],"memory":[36,104,156],"are":[37],"very":[38],"common":[39],"in":[40,46,50,90,130],"wireless":[41],"communications":[42,48,51],"as":[43,45,107,123],"well":[44],"wireline":[47],"(e.g.,":[49],"over":[52,125],"lines).":[54],"To":[55],"derive":[56],"WTC":[64,101,153],"first":[69],"construct":[70],"an":[71],"asymptotically":[72],"equivalent":[73],"block-memoryless":[74],"WTC,":[76],"which":[77],"is":[78,105,121],"then":[79],"transformed":[80],"into":[81],"set":[83,113],"parallel,":[85,115],"independent,":[86,116],"memoryless":[87,117],"WTCs":[89],"frequency":[92,132],"domain.":[93,133],"The":[94],"obtained":[106],"WTCs,":[119],"and":[120,162],"expressed":[122],"maximization":[124],"input":[127],"covariance":[128],"matrices":[129],"Finally,":[134],"detail":[136],"two":[137],"applications":[138],"our":[140,174],"result:":[141],"First,":[142],"show":[144],"that":[145],"scalar":[152],"can":[157],"be":[158],"achieved":[159],"by":[160],"waterfilling,":[161],"obtain":[163],"closed-form":[165],"expression":[166],"for":[167,193],"capacity.":[170],"Then,":[171],"use":[173],"result":[175],"characterize":[177],"narrowband":[182],"powerline":[183],"channels,":[184],"thereby":[185],"resolving":[186],"one":[187],"major":[190],"open":[191],"issues":[192],"model.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}