{"id":"https://openalex.org/W2039996159","doi":"https://doi.org/10.1109/tsp.2013.2245125","title":"Max-Min Fairness Linear Transceiver Design for a Multi-User MIMO Interference Channel","display_name":"Max-Min Fairness Linear Transceiver Design for a Multi-User MIMO Interference Channel","publication_year":2013,"publication_date":"2013-02-05","ids":{"openalex":"https://openalex.org/W2039996159","doi":"https://doi.org/10.1109/tsp.2013.2245125","mag":"2039996159"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2013.2245125","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2245125","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/A5020753840","display_name":"Ya\u2010Feng Liu","orcid":"https://orcid.org/0000-0002-9684-9150"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya-Feng Liu","raw_affiliation_strings":["State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and SystemsScience, Chinese Academy of Sciences, Beijing, China","State Key Lab. of Sci. & Eng. Comput., Acad. of Math. & Syst. Sci., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and SystemsScience, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Lab. of Sci. & Eng. Comput., Acad. of Math. & Syst. Sci., Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109187979","display_name":"Yu\u2010Hong Dai","orcid":"https://orcid.org/0000-0002-6932-9512"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Hong Dai","raw_affiliation_strings":["State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and SystemsScience, Chinese Academy of Sciences, Beijing, China","State Key Lab. of Sci. & Eng. Comput., Acad. of Math. & Syst. Sci., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and SystemsScience, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Lab. of Sci. & Eng. Comput., Acad. of Math. & Syst. Sci., Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101766226","display_name":"Zhi\u2010Quan Luo","orcid":"https://orcid.org/0000-0003-3995-914X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhi-Quan Luo","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.6901,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.98131086,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"9","first_page":"2413","last_page":"2423"},"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":0.9987999796867371,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9975000023841858,"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/transceiver","display_name":"Transceiver","score":0.8290097713470459},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.8065893650054932},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7539494037628174},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7365214824676514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6706314086914062},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5289972424507141},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.5282133221626282},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5272796750068665},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.5159145593643188},{"id":"https://openalex.org/keywords/multi-user-mimo","display_name":"Multi-user MIMO","score":0.4374402165412903},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43338608741760254},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2693096399307251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24981436133384705},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.2129601538181305}],"concepts":[{"id":"https://openalex.org/C7720470","wikidata":"https://www.wikidata.org/wiki/Q954187","display_name":"Transceiver","level":3,"score":0.8290097713470459},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.8065893650054932},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7539494037628174},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7365214824676514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6706314086914062},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5289972424507141},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.5282133221626282},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5272796750068665},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.5159145593643188},{"id":"https://openalex.org/C91330434","wikidata":"https://www.wikidata.org/wiki/Q738298","display_name":"Multi-user MIMO","level":4,"score":0.4374402165412903},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43338608741760254},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2693096399307251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24981436133384705},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.2129601538181305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2013.2245125","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2245125","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.5}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309636","display_name":"University of Minnesota","ror":"https://ror.org/03grvy078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1488513870","https://openalex.org/W1970830346","https://openalex.org/W1977622711","https://openalex.org/W1979089199","https://openalex.org/W1979408141","https://openalex.org/W1987121978","https://openalex.org/W2011039300","https://openalex.org/W2012762704","https://openalex.org/W2093260333","https://openalex.org/W2099300057","https://openalex.org/W2100755644","https://openalex.org/W2101727634","https://openalex.org/W2105235982","https://openalex.org/W2105857076","https://openalex.org/W2109005286","https://openalex.org/W2109800347","https://openalex.org/W2110830814","https://openalex.org/W2122568856","https://openalex.org/W2128652224","https://openalex.org/W2132201981","https://openalex.org/W2137735945","https://openalex.org/W2144000019","https://openalex.org/W2146351670","https://openalex.org/W2167357515","https://openalex.org/W4240429381","https://openalex.org/W4254090244","https://openalex.org/W4293775970","https://openalex.org/W6680619172","https://openalex.org/W6817417810"],"related_works":["https://openalex.org/W2489379490","https://openalex.org/W2216248654","https://openalex.org/W2141031289","https://openalex.org/W4385649691","https://openalex.org/W1624127656","https://openalex.org/W4381195711","https://openalex.org/W1578560935","https://openalex.org/W2140056236","https://openalex.org/W2781956563","https://openalex.org/W2294382089"],"abstract_inverted_index":{"Consider":[0],"the":[1,17,29,32,53,74,85,94,98,119,134,151,160,165],"max-min":[2,75,120],"fairness":[3,76,121],"linear":[4,77,122],"transceiver":[5,78,123],"design":[6,79,124],"problem":[7,24,80,95],"for":[8],"a":[9,101,143],"multi-user":[10],"multi-input":[11],"multi-output":[12],"(MIMO)":[13],"interference":[14,167],"channel.":[15],"When":[16],"channel":[18,161],"knowledge":[19],"is":[20,57,66,81,108],"perfectly":[21],"known,":[22],"this":[23,49],"can":[25],"be":[26],"formulated":[27],"as":[28,84],"maximization":[30],"of":[31,55,87,96,100,104,150],"minimum":[33],"signal-to-interference-plus-noise":[34],"ratio":[35],"(SINR)":[36],"utility,":[37],"subject":[38],"to":[39,117,140,142],"individual":[40],"power":[41],"constraints":[42],"at":[43,58,61,67,70],"each":[44,62,71],"transmitter.":[45],"We":[46,111],"prove":[47],"in":[48],"paper":[50],"that,":[51],"if":[52],"number":[54,86],"antennas":[56],"least":[59,68],"two":[60,114],"transmitter":[63],"(receiver)":[64],"and":[65,137,148],"three":[69],"receiver":[72],"(transmitter),":[73],"computationally":[82],"intractable":[83],"users":[88],"becomes":[89],"large.":[90],"In":[91],"fact,":[92],"even":[93],"checking":[97],"feasibility":[99],"given":[102],"set":[103],"target":[105],"SINR":[106],"levels":[107],"strongly":[109],"NP-hard.":[110],"then":[112],"propose":[113],"iterative":[115],"algorithms":[116,131,153],"solve":[118],"problem.":[125],"The":[126,146],"transceivers":[127],"generated":[128],"by":[129],"these":[130],"monotonically":[132],"improve":[133],"min-rate":[135],"utility":[136],"are":[138],"guaranteed":[139],"converge":[141],"stationary":[144],"solution.":[145],"efficiency":[147],"performance":[149],"proposed":[152],"compare":[154],"favorably":[155],"with":[156],"solutions":[157],"obtained":[158],"from":[159],"matched":[162],"beamforming":[163],"or":[164],"leakage":[166],"minimization.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
