{"id":"https://openalex.org/W4405232204","doi":"https://doi.org/10.1109/twc.2024.3509276","title":"Deep Unfolding Beamforming and Power Control Designs for Multi-Port Matching Networks","display_name":"Deep Unfolding Beamforming and Power Control Designs for Multi-Port Matching Networks","publication_year":2024,"publication_date":"2024-12-11","ids":{"openalex":"https://openalex.org/W4405232204","doi":"https://doi.org/10.1109/twc.2024.3509276"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2024.3509276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2024.3509276","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Bokai Xu","orcid":"https://orcid.org/0009-0007-3444-0708"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bokai Xu","raw_affiliation_strings":["State Key Laboratory of Advanced Rail Autonomous Operation, Beijing, China","School of Electronic and Information Engineering, State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0007-3444-0708","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Rail Autonomous Operation, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"School of Electronic and Information Engineering, State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100612301","display_name":"Jiayi Zhang","orcid":"https://orcid.org/0000-0003-2434-4329"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayi Zhang","raw_affiliation_strings":["State Key Laboratory of Advanced Rail Autonomous Operation, Beijing, China","School of Electronic and Information Engineering, State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-2434-4329","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Rail Autonomous Operation, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"School of Electronic and Information Engineering, State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090195902","display_name":"Qingfeng Lin","orcid":"https://orcid.org/0000-0003-0181-7437"},"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":"Qingfeng Lin","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam, Hong Kong","Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China"],"raw_orcid":"https://orcid.org/0000-0003-0181-7437","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103063755","display_name":"Huahua Xiao","orcid":"https://orcid.org/0009-0001-5316-061X"},"institutions":[{"id":"https://openalex.org/I4210098582","display_name":"ZTE (China)","ror":"https://ror.org/00rjhhq63","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210098582"]},{"id":"https://openalex.org/I4391767749","display_name":"State Key Laboratory of Mobile Networks and Mobile Multimedia Technology","ror":"https://ror.org/05cd55294","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210098582","https://openalex.org/I4391767749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huahua Xiao","raw_affiliation_strings":["State Key Laboratory of Mobile Network and Mobile Multimedia Technology, ZTE Corporation, Shenzhen, China","State Key Laboratory of Mobile Network and Mobile Multimedia Technology, ZTE Corporation, China"],"raw_orcid":"https://orcid.org/0009-0001-5316-061X","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mobile Network and Mobile Multimedia Technology, ZTE Corporation, Shenzhen, China","institution_ids":["https://openalex.org/I4210098582","https://openalex.org/I4391767749"]},{"raw_affiliation_string":"State Key Laboratory of Mobile Network and Mobile Multimedia Technology, ZTE Corporation, China","institution_ids":["https://openalex.org/I4210098582","https://openalex.org/I4391767749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085964667","display_name":"Yik\u2010Chung Wu","orcid":"https://orcid.org/0000-0002-2738-0387"},"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":"Yik-Chung Wu","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam, Hong Kong","Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China"],"raw_orcid":"https://orcid.org/0000-0002-2738-0387","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100620739","display_name":"Bo Ai","orcid":"https://orcid.org/0000-0001-6850-0595"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Ai","raw_affiliation_strings":["State Key Laboratory of Advanced Rail Autonomous Operation, Beijing, China","School of Electronic and Information Engineering, State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-6850-0595","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Rail Autonomous Operation, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"School of Electronic and Information Engineering, State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5192,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66234131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"24","issue":"2","first_page":"1401","last_page":"1414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11248","display_name":"Advanced Power Amplifier Design","score":0.9954000115394592,"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/T11248","display_name":"Advanced Power Amplifier Design","score":0.9954000115394592,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9950000047683716,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9945999979972839,"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":0.7709314823150635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5752352476119995},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.5337451696395874},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5132458209991455},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4350054860115051},{"id":"https://openalex.org/keywords/port","display_name":"Port (circuit theory)","score":0.43317368626594543},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4223710894584656},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.34385988116264343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24913686513900757},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.21551015973091125},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14938613772392273},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14603987336158752}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7709314823150635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5752352476119995},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.5337451696395874},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5132458209991455},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4350054860115051},{"id":"https://openalex.org/C32802771","wikidata":"https://www.wikidata.org/wiki/Q2443617","display_name":"Port (circuit theory)","level":2,"score":0.43317368626594543},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4223710894584656},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.34385988116264343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24913686513900757},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.21551015973091125},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14938613772392273},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14603987336158752},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/twc.2024.3509276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2024.3509276","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1970830346","https://openalex.org/W2106453750","https://openalex.org/W2161858075","https://openalex.org/W2259391824","https://openalex.org/W2525086471","https://openalex.org/W2616867685","https://openalex.org/W2767817194","https://openalex.org/W2956059314","https://openalex.org/W2962988074","https://openalex.org/W2964121960","https://openalex.org/W3011730771","https://openalex.org/W3041653465","https://openalex.org/W3084194173","https://openalex.org/W3091752016","https://openalex.org/W3120822682","https://openalex.org/W3152787073","https://openalex.org/W3164550829","https://openalex.org/W4221150253","https://openalex.org/W4226067766","https://openalex.org/W4248288458","https://openalex.org/W4295789396","https://openalex.org/W4320029345","https://openalex.org/W4372347993","https://openalex.org/W4381894769","https://openalex.org/W4387682176","https://openalex.org/W4387934956","https://openalex.org/W4390496060","https://openalex.org/W4392939679","https://openalex.org/W4392940337","https://openalex.org/W4399311046","https://openalex.org/W4399601919","https://openalex.org/W4400645040","https://openalex.org/W4402915682","https://openalex.org/W6850225510"],"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/W2753223082","https://openalex.org/W2130785056","https://openalex.org/W2188391530","https://openalex.org/W1510659114"],"abstract_inverted_index":{"The":[0],"key":[1],"technologies":[2],"of":[3,71,82,164],"sixth":[4],"generation":[5],"(6G),":[6],"such":[7],"as":[8],"ultra-massive":[9],"multiple-input":[10],"multiple-output":[11],"(MIMO),":[12],"enable":[13],"intricate":[14],"interactions":[15],"between":[16,152],"antennas":[17,35],"and":[18,36,58,76,105],"wireless":[19,37],"propagation":[20,38],"environments.":[21],"As":[22],"a":[23,115,136,200],"result,":[24],"it":[25],"becomes":[26],"necessary":[27],"to":[28,60,87,205],"develop":[29,114],"joint":[30],"models":[31],"that":[32],"encompass":[33],"both":[34],"channels.":[39],"To":[40],"achieve":[41],"this,":[42],"we":[43,66,92,113,134],"utilize":[44],"the":[45,54,69,80,100,110,131,150,162,169,177,185,206],"multi-port":[46,83,101],"communication":[47],"theory,":[48],"which":[49,148],"considers":[50,149],"impedance":[51],"matching":[52,84,102],"among":[53],"source,":[55],"transmission":[56],"medium,":[57],"load":[59],"facilitate":[61],"efficient":[62],"power":[63,106,132,157,196],"transfer.":[64],"Specifically,":[65],"first":[67],"investigate":[68],"impact":[70],"insertion":[72,166],"loss,":[73],"mutual":[74],"coupling,":[75],"other":[77],"factors":[78],"on":[79,125],"performance":[81,174],"networks.":[85],"Next,":[86],"further":[88],"improve":[89],"system":[90],"performance,":[91],"explore":[93],"two":[94],"important":[95],"deep":[96,116,137],"unfolding":[97,117,126,138],"designs":[98],"for":[99],"networks:":[103],"beamforming":[104,182],"control,":[107,133],"respectively.":[108],"For":[109,130],"hybrid":[111,181],"beamforming,":[112],"framework,":[118],"i.e.,":[119],"projected":[120,127],"gradient":[121,128],"descent":[122],"(PGD)-Net":[123],"based":[124,180],"descent.":[129],"design":[135],"network,":[139],"graph":[140],"neural":[141],"network":[142],"(GNN)":[143],"aided":[144],"alternating":[145],"optimization":[146],"(AO)-Net,":[147],"interaction":[151],"different":[153],"ports":[154],"in":[155,168],"optimizing":[156],"allocation.":[158],"Numerical":[159],"results":[160],"verify":[161],"necessity":[163],"considering":[165],"loss":[167],"dynamic":[170],"metasurface":[171],"antenna":[172],"(DMA)":[173],"analysis.":[175],"Besides,":[176],"proposed":[178,195],"PGD-Net":[179],"approaches":[183],"approximate":[184],"conventional":[186],"model-based":[187],"algorithm":[188],"with":[189],"very":[190],"low":[191],"complexity.":[192],"Moreover,":[193],"our":[194],"control":[197],"scheme":[198],"has":[199],"fast":[201],"run":[202],"time":[203],"compared":[204],"traditional":[207],"weighted":[208],"minimum":[209],"mean":[210],"squared":[211],"error":[212],"(WMMSE)":[213],"method.":[214]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
