{"id":"https://openalex.org/W2586958627","doi":"https://doi.org/10.1109/lwc.2017.2666804","title":"Upper Bound on Uplink Sum Rate for Multi-Cell Massive MU-MIMO Systems With ZF Receivers","display_name":"Upper Bound on Uplink Sum Rate for Multi-Cell Massive MU-MIMO Systems With ZF Receivers","publication_year":2017,"publication_date":"2017-02-09","ids":{"openalex":"https://openalex.org/W2586958627","doi":"https://doi.org/10.1109/lwc.2017.2666804","mag":"2586958627"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2017.2666804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2017.2666804","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/A5114685724","display_name":"Xinshui Wang","orcid":"https://orcid.org/0000-0002-2031-4694"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinshui Wang","raw_affiliation_strings":["State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100347221","display_name":"Ying Wang","orcid":"https://orcid.org/0000-0003-2524-9796"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Ying Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053586699","display_name":"Shaodan Ma","orcid":"https://orcid.org/0000-0001-5521-3650"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Shaodan Ma","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5114685724"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":null,"apc_paid":null,"fwci":0.8601,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74673485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":"2","first_page":"250","last_page":"253"},"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":0.9994999766349792,"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":0.9987999796867371,"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/telecommunications-link","display_name":"Telecommunications link","score":0.8899328708648682},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.8348793983459473},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7068929672241211},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.6110583543777466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5322487354278564},{"id":"https://openalex.org/keywords/multi-user-mimo","display_name":"Multi-user MIMO","score":0.46249961853027344},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.4572325646877289},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43365493416786194},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4299486577510834},{"id":"https://openalex.org/keywords/3g-mimo","display_name":"3G MIMO","score":0.4251987040042877},{"id":"https://openalex.org/keywords/path-loss","display_name":"Path loss","score":0.4144136905670166},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.39539268612861633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3184396028518677},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.30965250730514526},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.15545308589935303},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11319136619567871},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06442680954933167}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.8899328708648682},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.8348793983459473},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7068929672241211},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.6110583543777466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5322487354278564},{"id":"https://openalex.org/C91330434","wikidata":"https://www.wikidata.org/wiki/Q738298","display_name":"Multi-user MIMO","level":4,"score":0.46249961853027344},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.4572325646877289},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43365493416786194},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4299486577510834},{"id":"https://openalex.org/C165650700","wikidata":"https://www.wikidata.org/wiki/Q4636347","display_name":"3G MIMO","level":4,"score":0.4251987040042877},{"id":"https://openalex.org/C194273485","wikidata":"https://www.wikidata.org/wiki/Q1478845","display_name":"Path loss","level":3,"score":0.4144136905670166},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.39539268612861633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3184396028518677},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.30965250730514526},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.15545308589935303},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11319136619567871},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06442680954933167},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lwc.2017.2666804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2017.2666804","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":[],"awards":[{"id":"https://openalex.org/G2187373355","display_name":null,"funder_award_id":"MYRG2016-00146-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G227055359","display_name":null,"funder_award_id":"61601524","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2481048221","display_name":null,"funder_award_id":"MYRG101(Y1-L3)-FST13-MSD","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G2724645571","display_name":null,"funder_award_id":"61431003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5186752630","display_name":null,"funder_award_id":"MYRG2014-00146-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G7525308630","display_name":null,"funder_award_id":"61421061","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"},{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W1944087071","https://openalex.org/W1971443733","https://openalex.org/W1999833500","https://openalex.org/W2019012533","https://openalex.org/W2023535408","https://openalex.org/W2084304524","https://openalex.org/W2114945762","https://openalex.org/W2128513990","https://openalex.org/W2139904992","https://openalex.org/W2150957592","https://openalex.org/W2191955605","https://openalex.org/W2278832915","https://openalex.org/W2548842562","https://openalex.org/W2962798347","https://openalex.org/W3106282754","https://openalex.org/W4293005804","https://openalex.org/W4362230038","https://openalex.org/W6695479748"],"related_works":["https://openalex.org/W2954705445","https://openalex.org/W2521878878","https://openalex.org/W4313028534","https://openalex.org/W2761879201","https://openalex.org/W4200145345","https://openalex.org/W1996130034","https://openalex.org/W2556017705","https://openalex.org/W2955108753","https://openalex.org/W2545343974","https://openalex.org/W2059045613"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"uplink":[3,28],"sum":[4,50],"rate":[5,51],"for":[6,78],"multi-cell":[7,97],"massive":[8,79,98],"multi-user":[9],"multiple-input":[10],"multiple-output":[11],"(MU-MIMO)":[12],"systems":[13,62,81,100],"with":[14,63],"zero-forcing":[15],"receivers":[16],"is":[17,30,52,58,75,83],"analyzed.":[18],"To":[19],"be":[20],"practical,":[21],"imperfect":[22],"channel":[23],"state":[24],"information":[25],"obtained":[26],"through":[27],"training":[29],"assumed,":[31],"and":[32,38,82,101],"both":[33],"large":[34],"scale":[35,40],"path":[36],"loss":[37],"small":[39],"fading":[41],"effects":[42],"are":[43],"considered.":[44],"A":[45],"tight":[46],"upper":[47,73],"bound":[48,74],"on":[49],"derived":[53],"in":[54,105],"closed":[55],"form,":[56],"which":[57],"applicable":[59],"to":[60],"MU-MIMO":[61,80,99],"any":[64],"number":[65],"of":[66,71,96],"receiving":[67],"antennas.":[68],"The":[69,89],"tightness":[70],"the":[72],"theoretically":[76],"proved":[77],"further":[84],"demonstrated":[85],"by":[86],"computer":[87],"simulations.":[88],"result":[90],"thus":[91],"enables":[92],"a":[93],"better":[94],"understanding":[95],"facilitates":[102],"system":[103],"design":[104],"practice.":[106]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
