{"id":"https://openalex.org/W2085310158","doi":"https://doi.org/10.1109/tsp.2014.2379612","title":"On Degrees of Freedom Region of Three-User MIMO Interference Channels","display_name":"On Degrees of Freedom Region of Three-User MIMO Interference Channels","publication_year":2014,"publication_date":"2014-12-10","ids":{"openalex":"https://openalex.org/W2085310158","doi":"https://doi.org/10.1109/tsp.2014.2379612","mag":"2085310158"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2014.2379612","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2379612","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5062343707","display_name":"Lu Yang","orcid":"https://orcid.org/0000-0003-1052-3959"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lu Yang","raw_affiliation_strings":["The University of New South Wales, School of Electrical Engineering & Telecommunications, Sydney, Australia","School of Electrical Engineering and Telecommunications, the University of New South Wales, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of New South Wales, School of Electrical Engineering & Telecommunications, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, the University of New South Wales, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100653327","display_name":"Wei Zhang","orcid":"https://orcid.org/0000-0002-1059-3642"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Zhang","raw_affiliation_strings":["The University of New South Wales, School of Electrical Engineering & Telecommunications, Sydney, Australia","School of Electrical Engineering and Telecommunications, the University of New South Wales, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of New South Wales, School of Electrical Engineering & Telecommunications, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, the University of New South Wales, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":1.4503,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.84651437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"3","first_page":"590","last_page":"603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9987000226974487,"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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7698572874069214},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7458451390266418},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.7387048006057739},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6791666746139526},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6630449295043945},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5818588733673096},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.580299973487854},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5630464553833008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5083510279655457},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4774787425994873},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4409986436367035},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43430688977241516},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4328814744949341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3673217296600342},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36634665727615356},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.32804620265960693},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.26346948742866516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18590432405471802},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12530463933944702},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12246838212013245},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07571128010749817}],"concepts":[{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7698572874069214},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7458451390266418},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.7387048006057739},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6791666746139526},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6630449295043945},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5818588733673096},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.580299973487854},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5630464553833008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5083510279655457},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4774787425994873},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4409986436367035},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43430688977241516},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4328814744949341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3673217296600342},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36634665727615356},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.32804620265960693},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.26346948742866516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18590432405471802},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12530463933944702},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12246838212013245},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07571128010749817},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2014.2379612","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2379612","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.727.3234","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.727.3234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://newport.eecs.uci.edu/%7Esyed/papers/c103.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1606337839","https://openalex.org/W1971328044","https://openalex.org/W1979408141","https://openalex.org/W2012454404","https://openalex.org/W2031990115","https://openalex.org/W2047557811","https://openalex.org/W2051987468","https://openalex.org/W2074889271","https://openalex.org/W2098363461","https://openalex.org/W2100842176","https://openalex.org/W2130172876","https://openalex.org/W2162370583","https://openalex.org/W2168095411","https://openalex.org/W2170023479","https://openalex.org/W2210514616","https://openalex.org/W2217718762","https://openalex.org/W2963033703","https://openalex.org/W2963697396","https://openalex.org/W3102936923","https://openalex.org/W3106263997"],"related_works":["https://openalex.org/W2157458786","https://openalex.org/W1995014228","https://openalex.org/W2963438473","https://openalex.org/W2049158616","https://openalex.org/W2037307649","https://openalex.org/W4300895095","https://openalex.org/W2171681635","https://openalex.org/W2111349105","https://openalex.org/W2394963300","https://openalex.org/W2001904840"],"abstract_inverted_index":{"Degrees":[0],"of":[1,5,16,19,42,45,91,106],"freedom":[2],"(DoF)":[3],"region":[4,34,44,77,114],"three-user":[6,20,46,100],"interference":[7,21,47,55,93,101],"channels":[8,22,48],"is":[9,49,62,115],"studied":[10],"in":[11,99,123],"this":[12,38],"paper.":[13],"The":[14],"outer-bound":[15,41],"sum":[17],"DoF":[18,33,43,69,108,113],"was":[23],"derived":[24],"based":[25,58,95],"on":[26,59,96],"subspace":[27],"alignment":[28,56,94],"chain,":[29],"but":[30],"the":[31,71,76,83,89,104,110,119],"complete":[32],"remains":[35],"unknown.":[36],"In":[37],"paper,":[39],"an":[40],"first":[50],"derived.":[51],"Then,":[52],"a":[53,74],"linear":[54,92],"scheme":[57,122],"spatial":[60,97],"beamforming":[61,98,121],"proposed":[63,120],"that":[64],"can":[65,78],"achieve":[66],"all":[67],"integer":[68],"inside":[70,109],"region.":[72],"As":[73],"result,":[75],"be":[79],"seen":[80],"as":[81],"both":[82],"sufficient":[84],"and":[85],"necessary":[86],"condition":[87],"for":[88],"feasibility":[90],"channels.":[102],"Moreover,":[103],"achievability":[105],"fractional":[107],"outer":[111],"bound":[112],"also":[116],"addressed":[117],"with":[118,125],"combination":[124],"symbol":[126],"extension.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
