{"id":"https://openalex.org/W4400579070","doi":"https://doi.org/10.1109/tgcn.2024.3427126","title":"Beamforming Design for Cooperative Double-RIS Aided mmWave MU-MIMO Communications","display_name":"Beamforming Design for Cooperative Double-RIS Aided mmWave MU-MIMO Communications","publication_year":2024,"publication_date":"2024-07-12","ids":{"openalex":"https://openalex.org/W4400579070","doi":"https://doi.org/10.1109/tgcn.2024.3427126"},"language":"en","primary_location":{"id":"doi:10.1109/tgcn.2024.3427126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgcn.2024.3427126","pdf_url":null,"source":{"id":"https://openalex.org/S4210192662","display_name":"IEEE Transactions on Green Communications and Networking","issn_l":"2473-2400","issn":["2473-2400"],"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 Green Communications and Networking","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/A5055513664","display_name":"Qing Xue","orcid":"https://orcid.org/0000-0003-0982-5263"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing Xue","raw_affiliation_strings":["School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-0982-5263","affiliations":[{"raw_affiliation_string":"School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091032826","display_name":"Renlong Wei","orcid":"https://orcid.org/0009-0001-9727-0909"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Renlong Wei","raw_affiliation_strings":["School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0009-0001-9727-0909","affiliations":[{"raw_affiliation_string":"School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085654573","display_name":"Zhidu Li","orcid":"https://orcid.org/0000-0001-5810-541X"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhidu Li","raw_affiliation_strings":["School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-5810-541X","affiliations":[{"raw_affiliation_string":"School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101920882","display_name":"Yanping Liu","orcid":"https://orcid.org/0000-0003-0674-0766"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]},{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanping Liu","raw_affiliation_strings":["School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang, China"],"raw_orcid":"https://orcid.org/0000-0003-0674-0766","affiliations":[{"raw_affiliation_string":"School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang, China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060060834","display_name":"Yongjun Xu","orcid":"https://orcid.org/0000-0002-3588-0461"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjun Xu","raw_affiliation_strings":["School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-3588-0461","affiliations":[{"raw_affiliation_string":"School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084338675","display_name":"Qianbin Chen","orcid":"https://orcid.org/0000-0001-6868-6860"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianbin Chen","raw_affiliation_strings":["School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-6868-6860","affiliations":[{"raw_affiliation_string":"School of Communications and Information Engineering and the Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.6459,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.97866273,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"9","issue":"2","first_page":"645","last_page":"657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10069","display_name":"Antenna Design and Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10069","display_name":"Antenna Design and Analysis","score":0.9998999834060669,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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":0.9995999932289124,"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/beamforming","display_name":"Beamforming","score":0.8171794414520264},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.675993800163269},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.49664169549942017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4779398739337921},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.40715545415878296},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.30777299404144287}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8171794414520264},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.675993800163269},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.49664169549942017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4779398739337921},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.40715545415878296},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.30777299404144287}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgcn.2024.3427126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgcn.2024.3427126","pdf_url":null,"source":{"id":"https://openalex.org/S4210192662","display_name":"IEEE Transactions on Green Communications and Networking","issn_l":"2473-2400","issn":["2473-2400"],"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 Green Communications and Networking","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1174068184","display_name":null,"funder_award_id":"62271094","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2415452976","display_name":null,"funder_award_id":"CSTB2022NSCQ-LZX0009","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G3365983472","display_name":null,"funder_award_id":"CSTB2024NSCQ-MSX0535","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G4923889266","display_name":"\u65e0\u4eba\u673a\u534f\u4f5c\u8f85\u52a9\u7684\u9ad8\u53ef\u9760\u6beb\u7c73\u6ce2\u901a\u4fe1\u7f51\u7edc\u67b6\u6784\u53ca\u8d44\u6e90\u7ba1\u7406\u7814\u7a76","funder_award_id":"62061007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4941804512","display_name":null,"funder_award_id":"CSTB2023NSCQ-LMX0033","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G5282287407","display_name":null,"funder_award_id":"CSTB2023NSCQ-LZX0079","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G5808344812","display_name":null,"funder_award_id":"U23A20279","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/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W151604921","https://openalex.org/W1559261959","https://openalex.org/W1970830346","https://openalex.org/W2098126478","https://openalex.org/W2508393166","https://openalex.org/W2752066432","https://openalex.org/W2969424089","https://openalex.org/W2978495917","https://openalex.org/W3015594231","https://openalex.org/W3081766336","https://openalex.org/W3129589274","https://openalex.org/W3134980136","https://openalex.org/W3159815683","https://openalex.org/W3161488445","https://openalex.org/W3194299952","https://openalex.org/W3206714333","https://openalex.org/W3215405481","https://openalex.org/W4205299120","https://openalex.org/W4226000778","https://openalex.org/W4285237044","https://openalex.org/W4286541441","https://openalex.org/W4295297449","https://openalex.org/W4296640547","https://openalex.org/W4309773954","https://openalex.org/W4312593044","https://openalex.org/W4312770573","https://openalex.org/W4315630153","https://openalex.org/W4318586194","https://openalex.org/W4320015872","https://openalex.org/W4376481329","https://openalex.org/W4386263992","https://openalex.org/W4388692145","https://openalex.org/W4389544768","https://openalex.org/W4391547876"],"related_works":["https://openalex.org/W2963170046","https://openalex.org/W2376244802","https://openalex.org/W2923631784","https://openalex.org/W818226659","https://openalex.org/W4311414679","https://openalex.org/W3124036039","https://openalex.org/W2130785056","https://openalex.org/W2132841313","https://openalex.org/W2727286692","https://openalex.org/W2724724053"],"abstract_inverted_index":{"This":[0,138],"research":[1],"delves":[2,151],"into":[3,152],"the":[4,37,41,45,49,53,63,69,78,98,103,120,124,128,153,160,169,172,177,183,186],"design":[5],"of":[6,20,48,127,159,171,185],"collaborative":[7],"beamforming":[8,39,100,126],"for":[9,26,80,107,118],"millimeter-wave":[10],"(mmWave)":[11],"multi-user":[12],"multiple-input":[13],"multiple-output":[14],"(MU-MIMO)":[15],"communications,":[16],"which":[17],"takes":[18],"advantage":[19],"double":[21],"reconfigurable":[22],"intelligent":[23],"surfaces":[24],"(RISs)":[25],"enhanced":[27,178],"signal":[28],"transmission.":[29],"The":[30],"core":[31],"objective":[32],"is":[33,66,90,116,130],"to":[34,51,92,167],"jointly":[35],"optimize":[36],"transmit":[38,99,121],"at":[40],"base":[42],"station":[43],"and":[44,102,135,145,156,175],"phase":[46,105],"shifts":[47,106],"RISs":[50],"achieve":[52],"highest":[54],"possible":[55],"sum":[56],"rate.":[57],"To":[58],"derive":[59],"an":[60,81],"efficient":[61],"solution,":[62],"original":[64],"problem":[65,83],"recast":[67],"using":[68],"weighted":[70],"minimum":[71],"mean":[72],"square":[73],"error":[74],"(WMMSE)":[75],"approach,":[76],"paving":[77],"way":[79],"equivalent":[82],"formulation.":[84],"An":[85],"effective":[86],"alternating":[87],"optimization":[88],"strategy":[89],"introduced":[91],"tackle":[93],"this":[94],"problem,":[95],"sequentially":[96],"adjusting":[97],"matrix":[101],"RIS":[104,129],"near-optimal":[108],"results.":[109],"In":[110],"particular,":[111],"a":[112],"specialized":[113],"WMMSE-based":[114],"algorithm":[115,174],"devised":[117],"designing":[119],"beamforming,":[122],"while":[123],"passive":[125],"optimized":[131],"through":[132,182],"semi-definite":[133],"relaxation":[134],"majorization-minimization":[136],"techniques.":[137],"balance":[139],"ensures":[140],"both":[141],"high":[142],"system":[143],"performance":[144],"manageable":[146],"computational":[147,157],"load.":[148],"Further":[149],"analysis":[150],"convergence":[154],"properties":[155],"demands":[158],"proposed":[161,173],"methods.":[162],"Simulation":[163],"results":[164],"are":[165],"presented":[166],"validate":[168],"efficacy":[170],"demonstrate":[176],"spectral":[179],"efficiency":[180],"achieved":[181],"utilization":[184],"double-RIS.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}