{"id":"https://openalex.org/W4392207953","doi":"https://doi.org/10.1109/twc.2024.3367131","title":"Beamforming Optimization for Active RIS-Aided Multiuser Communications With Hardware Impairments","display_name":"Beamforming Optimization for Active RIS-Aided Multiuser Communications With Hardware Impairments","publication_year":2024,"publication_date":"2024-02-27","ids":{"openalex":"https://openalex.org/W4392207953","doi":"https://doi.org/10.1109/twc.2024.3367131"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2024.3367131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2024.3367131","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04734209v1/file/2402.10687v1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062533066","display_name":"Zhangjie Peng","orcid":"https://orcid.org/0000-0002-1363-7022"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhangjie Peng","raw_affiliation_strings":["College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China","Shanghai Engineering Research Center of Intelligent Education and Bigdata, Shanghai Normal University, Shanghai, China","National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-1363-7022","affiliations":[{"raw_affiliation_string":"College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Shanghai Engineering Research Center of Intelligent Education and Bigdata, Shanghai Normal University, Shanghai, China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100433014","display_name":"Zhibo Zhang","orcid":"https://orcid.org/0000-0001-8952-8124"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhibo Zhang","raw_affiliation_strings":["College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-8952-8124","affiliations":[{"raw_affiliation_string":"College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075696071","display_name":"Cunhua Pan","orcid":"https://orcid.org/0000-0001-5286-7958"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cunhua Pan","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-5286-7958","affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081612175","display_name":"Marco Di Renzo","orcid":"https://orcid.org/0000-0003-0772-8793"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marco Di Renzo","raw_affiliation_strings":["Université Paris-Saclay, CNRS, Centrale-Supélec, Laboratoire des Signaux et Systèmes, Gif-sur-Yvette, France"],"raw_orcid":"https://orcid.org/0000-0003-0772-8793","affiliations":[{"raw_affiliation_string":"Université Paris-Saclay, CNRS, Centrale-Supélec, Laboratoire des Signaux et Systèmes, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077149719","display_name":"Octavia A. Dobre","orcid":"https://orcid.org/0000-0001-8528-0512"},"institutions":[{"id":"https://openalex.org/I130438778","display_name":"Memorial University of Newfoundland","ror":"https://ror.org/04haebc03","country_code":"CA","type":"education","lineage":["https://openalex.org/I130438778"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Octavia A. Dobre","raw_affiliation_strings":["Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada"],"raw_orcid":"https://orcid.org/0000-0001-8528-0512","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada","institution_ids":["https://openalex.org/I130438778"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029002143","display_name":"Jiangzhou Wang","orcid":"https://orcid.org/0000-0003-0881-3594"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jiangzhou Wang","raw_affiliation_strings":["School of Engineering, University of Kent, Canterbury, U.K"],"raw_orcid":"https://orcid.org/0000-0003-0881-3594","affiliations":[{"raw_affiliation_string":"School of Engineering, University of Kent, Canterbury, U.K","institution_ids":["https://openalex.org/I20581793"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8156,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.9441563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"23","issue":"8","first_page":"9884","last_page":"9898"},"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/T10069","display_name":"Antenna Design and Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12042","display_name":"Satellite Communication Systems","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/beamforming","display_name":"Beamforming","score":0.8399525880813599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.679511308670044},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.45193326473236084},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.4337301254272461},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4094742238521576},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.35974231362342834},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3085378408432007},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1817878782749176}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8399525880813599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.679511308670044},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.45193326473236084},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.4337301254272461},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4094742238521576},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.35974231362342834},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3085378408432007},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1817878782749176}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2024.3367131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2024.3367131","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:HAL:hal-04734209v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04734209","pdf_url":"https://hal.science/hal-04734209v1/file/2402.10687v1.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Wireless Communications, 2024, 23 (8), pp.9884-9898. ⟨10.1109/twc.2024.3367131⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04734209v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04734209","pdf_url":"https://hal.science/hal-04734209v1/file/2402.10687v1.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Wireless Communications, 2024, 23 (8), pp.9884-9898. ⟨10.1109/twc.2024.3367131⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1129167665","display_name":null,"funder_award_id":"62331023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1285190971","display_name":null,"funder_award_id":"2023YFB2905100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2559059231","display_name":null,"funder_award_id":"101129618","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"},{"id":"https://openalex.org/G3413260315","display_name":"Physics-based wireless AI providing scalability and efficiency","funder_award_id":"ANR-23-CHR4-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3531172524","display_name":null,"funder_award_id":"22-PEFT-004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4530051524","display_name":null,"funder_award_id":"2023A03","funder_id":"https://openalex.org/F4320324856","funder_display_name":"Southeast University"},{"id":"https://openalex.org/G5298968265","display_name":null,"funder_award_id":"62350710796","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5882239794","display_name":null,"funder_award_id":"2023YFB2905100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6525716051","display_name":null,"funder_award_id":"2242022k60001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6578954843","display_name":null,"funder_award_id":"62201137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6639867748","display_name":null,"funder_award_id":"2023A03","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6967368406","display_name":null,"funder_award_id":"2023A03","funder_id":"https://openalex.org/F4320336270","funder_display_name":"National Mobile Communications Research Laboratory, Southeast University"},{"id":"https://openalex.org/G7655594500","display_name":null,"funder_award_id":"61701307","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8207751232","display_name":null,"funder_award_id":"22ZR1445600","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G8556530150","display_name":"Design and modeling of multiscale multitechnologies networks of the future: from cellular 5/6G to non terrestrial networks","funder_award_id":"ANR-24-PEFT-0001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336270","display_name":"National Mobile Communications Research Laboratory, Southeast University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392207953.pdf","grobid_xml":"https://content.openalex.org/works/W4392207953.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1970830346","https://openalex.org/W1999833500","https://openalex.org/W2032262780","https://openalex.org/W2142238976","https://openalex.org/W2639082558","https://openalex.org/W2788350651","https://openalex.org/W2950077417","https://openalex.org/W2953984813","https://openalex.org/W2968389137","https://openalex.org/W2969424089","https://openalex.org/W2981096252","https://openalex.org/W2981792785","https://openalex.org/W2990747873","https://openalex.org/W3001977108","https://openalex.org/W3021225717","https://openalex.org/W3034225812","https://openalex.org/W3038283497","https://openalex.org/W3041653465","https://openalex.org/W3043220753","https://openalex.org/W3045209834","https://openalex.org/W3047029756","https://openalex.org/W3087782700","https://openalex.org/W3088537232","https://openalex.org/W3097485127","https://openalex.org/W3099679786","https://openalex.org/W3115103619","https://openalex.org/W3134105517","https://openalex.org/W3134746776","https://openalex.org/W3134888006","https://openalex.org/W3137570378","https://openalex.org/W3143591891","https://openalex.org/W3144465352","https://openalex.org/W3154003282","https://openalex.org/W3159402647","https://openalex.org/W3178081691","https://openalex.org/W3182597944","https://openalex.org/W3197488186","https://openalex.org/W3198612078","https://openalex.org/W4200630107","https://openalex.org/W4206296593","https://openalex.org/W4221142127","https://openalex.org/W4225737845","https://openalex.org/W4226061238","https://openalex.org/W4250589301","https://openalex.org/W4285128464","https://openalex.org/W4285225593","https://openalex.org/W4288062625","https://openalex.org/W4294811347","https://openalex.org/W4312639322","https://openalex.org/W4313001863","https://openalex.org/W4317892505","https://openalex.org/W4322706719","https://openalex.org/W4323794388","https://openalex.org/W4385061575","https://openalex.org/W4387196957"],"related_works":["https://openalex.org/W2963170046","https://openalex.org/W2376244802","https://openalex.org/W1971477554","https://openalex.org/W2158075901","https://openalex.org/W818226659","https://openalex.org/W2923631784","https://openalex.org/W2130785056","https://openalex.org/W2567141277","https://openalex.org/W2132841313","https://openalex.org/W2727286692"],"abstract_inverted_index":{"In":[0,142],"this":[1,97],"paper,":[2],"we":[3,102],"consider":[4],"an":[5],"active":[6,37,40,93,205,211],"reconfigurable":[7],"intelligent":[8],"surface":[9],"(RIS)":[10],"to":[11,44,49,68,128,149],"assist":[12],"the":[13,18,26,29,32,36,46,51,60,70,76,80,84,88,92,132,136,151,157,188,197,201,210,215,219,226],"multiuser":[14],"downlink":[15],"transmission":[16],"in":[17,59],"presence":[19],"of":[20,190,204],"practical":[21],"hardware":[22],"impairments":[23],"(HWIs),":[24],"including":[25],"HWIs":[27,198],"at":[28,35,79,91],"transceivers":[30],"and":[31,87,135,179,194],"phase":[33,89],"noise":[34],"RIS.":[38,94,228],"The":[39,121],"RIS":[41,212],"is":[42,56,112,126,147,162],"deployed":[43],"amplify":[45],"incident":[47],"signals":[48],"alleviate":[50],"multiplicative":[52],"fading":[53],"effect,":[54],"which":[55],"a":[57,115,165],"limitation":[58],"conventional":[61],"passive":[62,227],"RIS-aided":[63],"wireless":[64,207],"systems.":[65],"We":[66],"aim":[67],"maximize":[69],"sum":[71,216],"rate":[72,217],"through":[73],"jointly":[74],"designing":[75],"transmit":[77,133],"beamforming":[78,134],"base":[81],"station":[82],"(BS),":[83],"amplification":[85],"factors":[86],"shifts":[90],"To":[95],"tackle":[96,129],"challenging":[98],"optimization":[99,183],"problem":[100],"effectively,":[101],"decouple":[103],"it":[104],"into":[105,114,164],"two":[106],"tractable":[107,166],"subproblems.":[108],"Subsequently,":[109],"each":[110,160],"subproblem":[111,161],"transformed":[113],"second":[116],"order":[117],"cone":[118],"programming":[119],"problem.":[120],"block":[122],"coordinate":[123],"descent":[124],"framework":[125],"applied":[127],"them,":[130],"where":[131],"reflection":[137],"coefficients":[138],"are":[139,172],"alternately":[140],"designed.":[141],"addition,":[143],"another":[144],"efficient":[145],"algorithm":[146],"presented":[148],"reduce":[150],"computational":[152],"complexity.":[153],"Specifically,":[154],"by":[155,174],"exploiting":[156],"majorization-minimization":[158],"approach,":[159],"reformulated":[163],"surrogate":[167],"problem,":[168],"whose":[169],"closed-form":[170],"solutions":[171],"obtained":[173],"Lagrange":[175],"dual":[176],"decomposition":[177],"approach":[178],"element-wise":[180],"alternating":[181],"sequential":[182],"method.":[184],"Simulation":[185],"results":[186],"validate":[187],"effectiveness":[189],"our":[191],"developed":[192],"algorithms,":[193],"reveal":[195],"that":[196],"significantly":[199],"limit":[200],"system":[202],"performance":[203],"RIS-empowered":[206],"communications.":[208],"Furthermore,":[209],"noticeably":[213],"boosts":[214],"under":[218],"same":[220],"total":[221],"power":[222],"budget,":[223],"compared":[224],"with":[225]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}