{"id":"https://openalex.org/W2980426996","doi":"https://doi.org/10.1109/twc.2020.3002891","title":"Max-Min Fairness of <i>K</i>-User Cooperative Rate-Splitting in MISO Broadcast Channel With User Relaying","display_name":"Max-Min Fairness of <i>K</i>-User Cooperative Rate-Splitting in MISO Broadcast Channel With User Relaying","publication_year":2020,"publication_date":"2020-06-23","ids":{"openalex":"https://openalex.org/W2980426996","doi":"https://doi.org/10.1109/twc.2020.3002891","mag":"2980426996"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2020.3002891","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2020.3002891","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.07843","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yijie Mao","orcid":"https://orcid.org/0000-0001-5077-2998"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yijie Mao","raw_affiliation_strings":["Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bruno Clerckx","orcid":"https://orcid.org/0000-0001-5949-6459"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bruno Clerckx","raw_affiliation_strings":["Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jian Zhang","orcid":"https://orcid.org/0000-0002-4476-9247"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Zhang","raw_affiliation_strings":["Xidian University, Xi\u2019an, China"],"affiliations":[{"raw_affiliation_string":"Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Victor O. K. Li","orcid":"https://orcid.org/0000-0002-1380-9445"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Victor O. K. Li","raw_affiliation_strings":["The University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mohammed Amer Arafah","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammed Amer Arafah","raw_affiliation_strings":["King Saud University, Riyadh, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":8.0066,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.98141868,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"19","issue":"10","first_page":"6362","last_page":"6376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.891700029373169,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.891700029373169,"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":0.07209999859333038,"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":0.00989999994635582,"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/scheduling","display_name":"Scheduling (production processes)","score":0.6545000076293945},{"id":"https://openalex.org/keywords/space-division-multiple-access","display_name":"Space-division multiple access","score":0.508400022983551},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.4927999973297119},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.44780001044273376},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4415000081062317},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4408000111579895},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.43380001187324524},{"id":"https://openalex.org/keywords/multi-user","display_name":"Multi-user","score":0.41370001435279846},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.36230000853538513},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.352400004863739}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.848800003528595},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6545000076293945},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.6449000239372253},{"id":"https://openalex.org/C2778140939","wikidata":"https://www.wikidata.org/wiki/Q3494197","display_name":"Space-division multiple access","level":3,"score":0.508400022983551},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.4927999973297119},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.44780001044273376},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4415000081062317},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C2778002699","wikidata":"https://www.wikidata.org/wiki/Q876057","display_name":"Multi-user","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3707999885082245},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.36230000853538513},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.352400004863739},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.35030001401901245},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.335099995136261},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.30809998512268066},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.3077999949455261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30399999022483826},{"id":"https://openalex.org/C101722063","wikidata":"https://www.wikidata.org/wiki/Q218825","display_name":"Random access","level":2,"score":0.30300000309944153},{"id":"https://openalex.org/C2781327853","wikidata":"https://www.wikidata.org/wiki/Q3552547","display_name":"User equipment","level":3,"score":0.295199990272522},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2937999963760376},{"id":"https://openalex.org/C6832461","wikidata":"https://www.wikidata.org/wiki/Q5167914","display_name":"Cooperative diversity","level":4,"score":0.2897000014781952},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.28769999742507935},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C2776208322","wikidata":"https://www.wikidata.org/wiki/Q844071","display_name":"Frequency-division multiple access","level":4,"score":0.2551000118255615},{"id":"https://openalex.org/C83529365","wikidata":"https://www.wikidata.org/wiki/Q4972103","display_name":"Broadcast communication network","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C114237682","wikidata":"https://www.wikidata.org/wiki/Q5072483","display_name":"Channel allocation schemes","level":3,"score":0.25429999828338623},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2020.3002891","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2020.3002891","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.07843","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.07843","pdf_url":"https://arxiv.org/pdf/1910.07843","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.07843","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.07843","pdf_url":"https://arxiv.org/pdf/1910.07843","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G504578591","display_name":null,"funder_award_id":"EP/R511547/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8291953907","display_name":null,"funder_award_id":"11-INF1951-02","funder_id":"https://openalex.org/F4320335045","funder_display_name":"National Plan for Science, Technology and Innovation"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320335045","display_name":"National Plan for Science, Technology and Innovation","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1550445194","https://openalex.org/W1577575122","https://openalex.org/W1778513012","https://openalex.org/W1969648546","https://openalex.org/W1995434282","https://openalex.org/W2015794320","https://openalex.org/W2029475479","https://openalex.org/W2068118751","https://openalex.org/W2073726536","https://openalex.org/W2079287883","https://openalex.org/W2088870946","https://openalex.org/W2096725988","https://openalex.org/W2099084173","https://openalex.org/W2107395148","https://openalex.org/W2107848389","https://openalex.org/W2114718436","https://openalex.org/W2128295617","https://openalex.org/W2128390157","https://openalex.org/W2135306111","https://openalex.org/W2140100444","https://openalex.org/W2154199098","https://openalex.org/W2156447837","https://openalex.org/W2160824402","https://openalex.org/W2163762663","https://openalex.org/W2271871887","https://openalex.org/W2276996242","https://openalex.org/W2288501207","https://openalex.org/W2296029084","https://openalex.org/W2299288932","https://openalex.org/W2536620281","https://openalex.org/W2594614566","https://openalex.org/W2604993913","https://openalex.org/W2605206708","https://openalex.org/W2617157154","https://openalex.org/W2778609989","https://openalex.org/W2787255587","https://openalex.org/W2798894979","https://openalex.org/W2807804205","https://openalex.org/W2886489879","https://openalex.org/W2888830766","https://openalex.org/W2889223163","https://openalex.org/W2889260216","https://openalex.org/W2889448267","https://openalex.org/W2960360359","https://openalex.org/W2963179291","https://openalex.org/W2963328334","https://openalex.org/W2963470109","https://openalex.org/W2964121239","https://openalex.org/W2971047986","https://openalex.org/W2975013556","https://openalex.org/W2976573329","https://openalex.org/W2989668825","https://openalex.org/W4250589301"],"related_works":[],"abstract_inverted_index":{"Cooperative":[0,33],"Rate-Splitting":[1,31],"(CRS)":[2],"strategy,":[3],"relying":[4],"on":[5,141],"linearly":[6],"precoded":[7],"rate-splitting":[8],"at":[9,107],"the":[10,16,20,61,70,75,80,92,96,108,112,119,132,169,182,186,223,229,238,242,250,256,263],"transmitter":[11],"and":[12,38,87,118,136,173,200,210,213],"opportunistic":[13],"transmission":[14,65,265],"of":[15,77,94,198,206,219,244],"common":[17],"message":[18,82,174],"by":[19,159,180,191],"relaying":[21,88,138],"user,":[22],"has":[23],"recently":[24],"been":[25],"shown":[26],"to":[27,69,102,130,166],"outperform":[28],"typical":[29],"Non-cooperative":[30],"(NRS),":[32],"Non-Orthogonal":[34],"Multiple":[35,41,47],"Access":[36,42],"(C-NOMA)":[37],"Space":[39],"Division":[40],"(SDMA)":[43],"in":[44,202,241],"a":[45,103,126,160,203,217],"two-user":[46],"Input":[48],"Single":[49],"Output":[50],"(MISO)":[51],"Broadcast":[52],"Channel":[53],"(BC)":[54],"with":[55,91,237,255],"user":[56,89,113,214],"relaying.":[57],"In":[58],"this":[59],"work,":[60],"existing":[62,264],"twouser":[63],"CRS":[64,192,253],"strategy":[66],"is":[67,116,122,193,259],"generalized":[68],"K-user":[71,252],"case.":[72],"We":[73],"study":[74],"problem":[76,115,121],"jointly":[78,167],"optimizing":[79],"precoders,":[81],"split,":[83],"time":[84,170],"slot":[85],"allocation,":[86],"scheduling":[90,114],"objective":[93],"maximizing":[95],"minimum":[97],"rate":[98,189,234],"among":[99],"users":[100,154],"subject":[101],"transmit":[104],"power":[105],"constraint":[106],"base":[109],"station.":[110],"As":[111],"discrete":[117],"entire":[120],"non-convex,":[123],"we":[124,247],"propose":[125],"two-stage":[127,184,257],"low-complexity":[128],"algorithm":[129,165,226,240,258],"solve":[131],"problem.":[133],"Both":[134],"centralized":[135],"decentralized":[137],"protocols":[139],"based":[140],"selecting":[142],"K":[143],"<sub":[144,148],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[145,149],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[146,150],"(K":[147],"<;":[151],"K)":[152],"strongest":[153],"are":[155],"first":[156],"proposed":[157,183,224,251],"followed":[158],"Successive":[161],"Convex":[162],"Approximation":[163],"(SCA)-based":[164],"optimize":[168],"slot,":[171],"precoders":[172],"split.":[175],"Numerical":[176],"results":[177],"show":[178],"that":[179,197,249],"applying":[181],"algorithm,":[185],"worst-case":[187],"achievable":[188],"achieved":[190],"significantly":[194],"increased":[195],"over":[196],"NRS":[199],"SDMA":[201],"wide":[204],"range":[205],"network":[207],"loads":[208],"(underloaded":[209],"overloaded":[211],"regimes)":[212],"deployments":[215],"(with":[216],"diversity":[218],"channel":[220],"strengths).":[221],"Importantly,":[222],"SCA-based":[225],"dramatically":[227],"reduces":[228],"computational":[230],"complexity":[231],"without":[232],"any":[233],"loss":[235],"compared":[236],"conventional":[239],"literature":[243],"CRS.":[245],"Therefore,":[246],"conclude":[248],"combined":[254],"more":[260],"powerful":[261],"than":[262],"schemes.":[266]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":22},{"year":2024,"cited_by_count":25},{"year":2023,"cited_by_count":24},{"year":2022,"cited_by_count":23},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":10}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2019-10-25T00:00:00"}