{"id":"https://openalex.org/W7221011507","doi":"https://doi.org/10.48550/arxiv.2610.07618","title":"Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications","display_name":"Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7221011507","doi":"https://doi.org/10.48550/arxiv.2610.07618"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.07618","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07618","pdf_url":"https://arxiv.org/pdf/2610.07618","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.07618","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157913929","display_name":"Beining Han","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han, Beining","raw_affiliation_strings":["School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067464547","display_name":"S. Zhang","orcid":"https://orcid.org/0000-0002-2096-6051","observed_orcids":["https://orcid.org/0000-0002-2096-6051"]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang, Shumeng","raw_affiliation_strings":["School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090707691","display_name":"Deyou Zhang","orcid":"https://orcid.org/0000-0001-9621-561X","observed_orcids":["https://orcid.org/0000-0001-9621-561X"]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang, Deyou","raw_affiliation_strings":["School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128331100","display_name":"Qingchao Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Qingchao","raw_affiliation_strings":["School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157931852","display_name":"Jun Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu, Jun","raw_affiliation_strings":["School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5157988045","display_name":"Chuang Shi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi, Chuang","raw_affiliation_strings":["School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","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/T11458","display_name":"Advanced Wireless Communication Technologies","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/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.0,"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/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/passive-beamforming","display_name":"passive beamforming","score":0.8579999804496765},{"id":"https://openalex.org/keywords/weighted-sum-rate-maximization","display_name":"weighted sum rate maximization","score":0.8880000114440918},{"id":"https://openalex.org/keywords/nonconvex-optimization","display_name":"non-convex optimization","score":0.8289999961853027},{"id":"https://openalex.org/keywords/alternating-optimization","display_name":"alternating optimization","score":0.6990000009536743},{"id":"https://openalex.org/keywords/calculus-of-variations","display_name":"calculus of variations","score":0.925000011920929},{"id":"https://openalex.org/keywords/majorization-minimization","display_name":"majorization-minimization","score":0.9919999837875366},{"id":"https://openalex.org/keywords/downlink-precoding","display_name":"downlink precoding","score":0.6150000095367432}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.798799991607666},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7983999848365784},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6467000246047974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6208999752998352},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.6208000183105469},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.569599986076355},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5195000171661377},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4884999990463257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.475600004196167},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4675999879837036},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4505000114440918},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44690001010894775},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44620001316070557},{"id":"https://openalex.org/C343090","wikidata":"https://www.wikidata.org/wiki/Q5165504","display_name":"Continuous phase modulation","level":2,"score":0.4431000053882599},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.3790999948978424},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.36169999837875366},{"id":"https://openalex.org/C2777104032","wikidata":"https://www.wikidata.org/wiki/Q16324514","display_name":"Multiuser detection","level":3,"score":0.337799996137619},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.3269999921321869},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.31690001487731934},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25920000672340393},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.2547999918460846}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.07618","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07618","pdf_url":"https://arxiv.org/pdf/2610.07618","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},{"id":"doi:10.48550/arxiv.2610.07618","doi":"https://doi.org/10.48550/arxiv.2610.07618","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.07618","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.07618","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.07618","pdf_url":"https://arxiv.org/pdf/2610.07618","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221011507.pdf","grobid_xml":"https://content.openalex.org/works/W7221011507.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4416331763","https://openalex.org/W4200436296","https://openalex.org/W3090699061","https://openalex.org/W7168051810","https://openalex.org/W3034533409","https://openalex.org/W4401539159","https://openalex.org/W4312528066","https://openalex.org/W4414757826","https://openalex.org/W6982741844","https://openalex.org/W4413292651"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"continuous":[3,24,130],"transmissive":[4],"reconfigurable":[5],"intelligent":[6],"surface":[7],"(CT-RIS)-enabled":[8],"multiuser":[9],"downlink":[10],"communications,":[11],"where":[12],"passive":[13],"beamforming":[14],"is":[15],"characterized":[16],"by":[17],"a":[18,28,40,73,93,99,134],"phase":[19,68,101,131],"function":[20],"defined":[21],"over":[22],"the":[23,33,48,60,65,105,115,120,124],"aperture.":[25],"We":[26],"employ":[27],"distance-dependent":[29],"spherical-wave":[30],"model":[31,42],"for":[32,47],"base":[34],"station":[35],"(BS)-to-CT-RIS":[36],"link":[37],"and":[38,64,76,109,133],"introduce":[39],"finite-path":[41],"based":[43],"on":[44],"field-response":[45],"vectors":[46],"CT-RIS-to-user":[49],"links.":[50],"The":[51],"resulting":[52],"weighted":[53],"sum":[54],"rate":[55],"maximization":[56],"problem":[57],"jointly":[58],"optimizes":[59],"finite-dimensional":[61],"BS":[62,95],"precoders":[63],"infinite-dimensional":[66,77],"CT-RIS":[67,117],"function,":[69],"giving":[70],"rise":[71],"to":[72,128],"mixed":[74],"finite-":[75],"non-convex":[78],"optimization":[79,89],"problem.":[80],"To":[81],"address":[82],"this":[83],"problem,":[84],"we":[85],"develop":[86],"an":[87],"alternating":[88],"algorithm":[90],"that":[91,114],"combines":[92],"closed-form":[94],"precoder":[96],"update":[97,102],"with":[98,123],"functional":[100],"derived":[103],"using":[104],"calculus":[106],"of":[107],"variations":[108],"minorization-maximization.":[110],"Numerical":[111],"results":[112],"demonstrate":[113],"proposed":[116],"consistently":[118],"outperforms":[119],"considered":[121],"benchmarks,":[122],"performance":[125],"gains":[126],"attributed":[127],"spatially":[129],"control":[132],"larger":[135],"effective":[136],"receiving":[137],"area.":[138]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-09T00:00:00"}
