{"id":"https://openalex.org/W2114439001","doi":"https://doi.org/10.1109/tit.2015.2409836","title":"Joint Unitary Triangularization for Gaussian Multi-User MIMO Networks","display_name":"Joint Unitary Triangularization for Gaussian Multi-User MIMO Networks","publication_year":2015,"publication_date":"2015-03-09","ids":{"openalex":"https://openalex.org/W2114439001","doi":"https://doi.org/10.1109/tit.2015.2409836","mag":"2114439001"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2409836","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2409836","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1306.4350","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065152975","display_name":"Anatoly Khina","orcid":"https://orcid.org/0000-0003-2359-1678"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Anatoly Khina","raw_affiliation_strings":["Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062547864","display_name":"Idan Livni","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Idan Livni","raw_affiliation_strings":["Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022272616","display_name":"Ayal Hitron","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ayal Hitron","raw_affiliation_strings":["Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029983697","display_name":"Uri Erez","orcid":"https://orcid.org/0000-0001-7720-1116"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Erez","raw_affiliation_strings":["Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering \u2014 Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering--Systems, Tel-Aviv University, Tel-Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065152975"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":1.6056,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85453001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"61","issue":"5","first_page":"2662","last_page":"2692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10148","display_name":"Advanced MIMO Systems Optimization","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":0.9998999834060669,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"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/decoding-methods","display_name":"Decoding methods","score":0.6235290765762329},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.6119331121444702},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5894901752471924},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5686060190200806},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5141356587409973},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.48973751068115234},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.47522762417793274},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4292373061180115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4195452928543091},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.41466251015663147},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37848222255706787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36781075596809387},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21263903379440308},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10675004124641418}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6235290765762329},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6119331121444702},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5894901752471924},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5686060190200806},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5141356587409973},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.48973751068115234},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.47522762417793274},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4292373061180115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4195452928543091},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.41466251015663147},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37848222255706787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36781075596809387},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21263903379440308},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10675004124641418},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2015.2409836","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2409836","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"},{"id":"pmh:oai:arXiv.org:1306.4350","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.4350","pdf_url":"https://arxiv.org/pdf/1306.4350","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.710.4819","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.710.4819","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.its.caltech.edu/%7Ekhina/papers/journal/k_jet_it2015.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.711.2928","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.711.2928","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.its.caltech.edu/%7Ekhina/papers/journal/k_jet_it2015_short.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.766.7912","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.766.7912","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1306.4350.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1306.4350","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.4350","pdf_url":"https://arxiv.org/pdf/1306.4350","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G3701735455","display_name":null,"funder_award_id":"1557/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1555668432","https://openalex.org/W1813834645","https://openalex.org/W1900169287","https://openalex.org/W1974790725","https://openalex.org/W1977271127","https://openalex.org/W1981300870","https://openalex.org/W1989446323","https://openalex.org/W1997176148","https://openalex.org/W1997834106","https://openalex.org/W2001052745","https://openalex.org/W2023804772","https://openalex.org/W2024152683","https://openalex.org/W2029435453","https://openalex.org/W2036298026","https://openalex.org/W2037308270","https://openalex.org/W2046929266","https://openalex.org/W2049285480","https://openalex.org/W2062757540","https://openalex.org/W2093957537","https://openalex.org/W2103924546","https://openalex.org/W2107080958","https://openalex.org/W2110659753","https://openalex.org/W2114439001","https://openalex.org/W2115798205","https://openalex.org/W2117359246","https://openalex.org/W2117453261","https://openalex.org/W2118040894","https://openalex.org/W2122498678","https://openalex.org/W2128133840","https://openalex.org/W2129994137","https://openalex.org/W2143848437","https://openalex.org/W2144421688","https://openalex.org/W2144462667","https://openalex.org/W2150630209","https://openalex.org/W2160432600","https://openalex.org/W2161551338","https://openalex.org/W2532513274","https://openalex.org/W2541204438","https://openalex.org/W2562135513","https://openalex.org/W2963664265","https://openalex.org/W3190451510","https://openalex.org/W4254315740","https://openalex.org/W6633324237","https://openalex.org/W6639814726","https://openalex.org/W6677400980","https://openalex.org/W6728444481"],"related_works":["https://openalex.org/W1999313313","https://openalex.org/W2499716529","https://openalex.org/W2963658971","https://openalex.org/W2386636239","https://openalex.org/W2059686565","https://openalex.org/W1568150511","https://openalex.org/W4293832529","https://openalex.org/W2018613836","https://openalex.org/W1981937001","https://openalex.org/W1968351048"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,28,80,92,187,210,226,232],"transmitting":[3],"a":[4,37,70,228],"common":[5],"message":[6],"to":[7,69,90,146,214],"multiple":[8,155],"users":[9],"over":[10,96,154],"the":[11,50,55,62,78,85,97,105,116,149,185,207,224],"Gaussian":[12,101],"multiple-input":[13],"multiple-output":[14],"broadcast":[15],"channel":[16,56,156,233],"is":[17,22,33,41,128,135,144,161,164,176,197,203],"considered,":[18],"where":[19,170],"each":[20],"user":[21],"equipped":[23],"with":[24,77],"an":[25,200],"arbitrary":[26],"number":[27,231],"antennas.":[29],"A":[30],"closed-loop":[31],"scenario":[32],"assumed,":[34],"for":[35,138,184,191],"which":[36],"practical":[38],"capacity-approaching":[39],"scheme":[40],"developed.":[42],"By":[43],"applying":[44],"judiciously":[45],"chosen":[46],"unitary":[47,126,150],"operations":[48],"at":[49,223],"transmit":[51],"and":[52,87,94,181],"receive":[53],"nodes,":[54],"matrices":[57,64],"are":[58,174,189],"triangularized":[59],"so":[60],"that":[61,123,137,167,205,217],"resulting":[63,106,172],"have":[65],"equal":[66,211],"diagonals,":[67],"up":[68,213],"possible":[71],"multiplicative":[72],"scalar":[73],"factor.":[74],"This,":[75],"along":[76],"utilization":[79],"successive":[81],"interference":[82],"cancellation,":[83],"reduces":[84],"coding":[86,93],"decoding":[88,95],"tasks":[89],"those":[91],"single-antenna":[98],"additive":[99],"white":[100],"noise":[102],"channel.":[103],"Over":[104],"effective":[107],"channel,":[108],"any":[109],"off-the-shelf":[110],"code":[111],"may":[112],"be":[113,219],"used.":[114],"For":[115],"two-user":[117],"case,":[118],"it":[119,134,143],"was":[120],"recently":[121],"shown":[122,136,166],"such":[124,188],"joint":[125],"triangularization":[127,196],"always":[129,179],"possible.":[130],"In":[131],"this":[132],"paper,":[133],"more":[139],"than":[140],"two":[141],"users,":[142],"necessary":[145],"carry":[147],"out":[148],"linear":[151],"processing":[152,160,227],"jointly":[153],"uses,":[157],"i.e.,":[158],"space-time":[159],"employed.":[162],"It":[163],"further":[165],"exact":[168,195],"triangularization,":[169],"all":[171],"diagonals":[173,212],"equal,":[175],"still":[177],"not":[178,198],"possible,":[180,199],"appropriate":[182],"conditions":[183],"existence":[186],"established":[190],"certain":[192],"cases.":[193],"When":[194],"asymptotic":[201],"construction":[202],"proposed,":[204],"achieves":[206],"desired":[208],"property":[209],"edge":[215],"effects":[216],"can":[218],"made":[220],"arbitrarily":[221],"small,":[222],"price":[225],"sufficiently":[229],"large":[230],"uses":[234],"together.":[235]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
