{"id":"https://openalex.org/W4408792347","doi":"https://doi.org/10.1109/tcomm.2025.3552748","title":"An Efficient Beamforming Optimization Framework for Generalized Rate-Splitting With Imperfect CSIT","display_name":"An Efficient Beamforming Optimization Framework for Generalized Rate-Splitting With Imperfect CSIT","publication_year":2025,"publication_date":"2025-03-24","ids":{"openalex":"https://openalex.org/W4408792347","doi":"https://doi.org/10.1109/tcomm.2025.3552748"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2025.3552748","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2025.3552748","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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":null,"display_name":"Yiwen Wang","orcid":"https://orcid.org/0009-0003-9185-1459"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yiwen Wang","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110765111","display_name":"Tianyu Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyu Fang","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016799540","display_name":"Yijie Mao","orcid":"https://orcid.org/0000-0001-5077-2998"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yijie Mao","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I30809798"],"apc_list":null,"apc_paid":null,"fwci":4.2386,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.9326691,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"73","issue":"9","first_page":"7415","last_page":"7430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/beamforming","display_name":"Beamforming","score":0.7522271871566772},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.5555717945098877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5253985524177551},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41306808590888977},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4123609960079193},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3772623836994171},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.286668062210083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27933233976364136},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2740059792995453},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23245355486869812}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7522271871566772},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.5555717945098877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5253985524177551},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41306808590888977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4123609960079193},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3772623836994171},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.286668062210083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27933233976364136},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2740059792995453},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23245355486869812},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2025.3552748","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2025.3552748","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5106922722","display_name":null,"funder_award_id":"62201347","funder_id":"https://openalex.org/F4320334953","funder_display_name":"China National Funds for Distinguished Young Scientists"},{"id":"https://openalex.org/G7237577591","display_name":null,"funder_award_id":"62201347","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/F4320334953","display_name":"China National Funds for Distinguished Young Scientists","ror":"https://ror.org/01pab2602"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1577575122","https://openalex.org/W2072599023","https://openalex.org/W2113271807","https://openalex.org/W2116141601","https://openalex.org/W2163762663","https://openalex.org/W2215920531","https://openalex.org/W2271871887","https://openalex.org/W2288501207","https://openalex.org/W2777443007","https://openalex.org/W2787255587","https://openalex.org/W2788350651","https://openalex.org/W2963328334","https://openalex.org/W2963368348","https://openalex.org/W2971028424","https://openalex.org/W2975013556","https://openalex.org/W2991370079","https://openalex.org/W3036383181","https://openalex.org/W3047417371","https://openalex.org/W3162708859","https://openalex.org/W3168625149","https://openalex.org/W3171989079","https://openalex.org/W3185676396","https://openalex.org/W3194819463","https://openalex.org/W4221140434","https://openalex.org/W4221160108","https://openalex.org/W4250589301","https://openalex.org/W4285742237","https://openalex.org/W4286540475","https://openalex.org/W4308166324","https://openalex.org/W4319302984","https://openalex.org/W4362496223","https://openalex.org/W4385413386","https://openalex.org/W4387145985","https://openalex.org/W4392904063","https://openalex.org/W4393305379","https://openalex.org/W4396712531","https://openalex.org/W4401113561"],"related_works":["https://openalex.org/W4286569445","https://openalex.org/W2047743558","https://openalex.org/W4285140130","https://openalex.org/W3104770499","https://openalex.org/W4285677055","https://openalex.org/W1992731528","https://openalex.org/W2007843488","https://openalex.org/W1994436307","https://openalex.org/W1987021796","https://openalex.org/W2795565301"],"abstract_inverted_index":{"Rate-splitting":[0],"multiple":[1,37,44,48,53],"access":[2,38,45,49,54],"(RSMA)":[3],"emerges":[4],"as":[5,30,56],"a":[6,31,100,136,151,192],"compelling":[7],"physical-layer":[8],"transmission":[9,23],"paradigm":[10],"for":[11,108,231],"effectively":[12],"managing":[13],"interference":[14],"in":[15,68,80,95,254,261],"6G":[16],"networks.":[17],"Within":[18],"the":[19,71,77,81,87,93,112,123,127,157,164,173,182,187,205,210,224,232,235,246,256],"realm":[20],"of":[21,83,89,153,168,178,226,237,259],"RSMA":[22,260],"frameworks,":[24],"generalized":[25],"rate-splitting":[26],"(GRS)":[27],"stands":[28],"out":[29],"versatile":[32],"strategy":[33],"that":[34,204,248],"embraces":[35],"existing":[36],"(MA)":[39],"schemes,":[40],"including":[41],"space":[42],"division":[43],"(SDMA),":[46],"non-orthogonal":[47],"(NOMA),":[50],"and":[51,102],"orthogonal":[52],"(OMA)":[55],"specific":[57],"instances.":[58],"Despite":[59],"its":[60],"versatility,":[61],"GRS":[62,109,238],"encounters":[63],"significant":[64],"design":[65],"challenges,":[66],"particularly":[67],"dealing":[69],"with":[70,86,117,239],"resource":[72],"optimization":[73,106,220],"complexities":[74],"resulting":[75],"from":[76],"exponential":[78],"growth":[79],"number":[82,88],"common":[84],"streams":[85],"users.":[90,243],"To":[91,180],"tackle":[92],"issue,":[94],"this":[96],"work,":[97],"we":[98,171,189,202,229],"propose":[99,191],"novel":[101],"highly":[103],"efficient":[104],"beamforming":[105,175],"algorithm":[107,207,251],"to":[110,218,223],"maximize":[111],"ergodic":[113],"sum":[114],"rate":[115],"(ESR)":[116],"imperfect":[118],"channel":[119],"state":[120],"information":[121],"at":[122],"transmitter":[124],"(CSIT).":[125],"Specifically,":[126],"stochastic":[128],"ESR":[129,215],"maximization":[130],"problem":[131,146],"is":[132,147],"first":[133,233],"transformed":[134,145],"into":[135,150],"deterministic":[137],"one":[138],"using":[139],"sampled":[140],"average":[141],"approximation":[142],"(SAA).":[143],"This":[144],"further":[148],"decomposed":[149],"series":[152],"convex":[154],"subproblems":[155],"by":[156],"fraction":[158],"programming":[159],"(FP)":[160],"approach.":[161],"Based":[162],"on":[163],"Karush-Kuhn-Tucker":[165],"(KKT)":[166],"conditions":[167],"each":[169],"subproblem,":[170],"derive":[172],"optimal":[174],"structure":[176],"(OBS)":[177],"GRS.":[179],"determine":[181],"Lagrange":[183],"dual":[184],"variables":[185],"within":[186],"OBS,":[188],"then":[190],"fixed":[193],"point":[194],"iteration":[195],"(FPI)-based":[196],"method.":[197],"Through":[198],"extensive":[199],"numerical":[200],"results,":[201],"show":[203],"proposed":[206,250],"significantly":[208],"reduces":[209],"computational":[211],"complexity":[212],"without":[213],"sacrificing":[214],"performance":[216,236],"compared":[217],"conventional":[219],"algorithms.":[221],"Thanks":[222],"efficiency":[225],"our":[227,249],"algorithm,":[228],"illustrate,":[230],"time,":[234],"more":[240],"than":[241],"three":[242],"We":[244],"draw":[245],"conclusion":[247],"shows":[252],"promise":[253],"advancing":[255],"practical":[257],"application":[258],"6G.":[262]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}