{"id":"https://openalex.org/W4403122883","doi":"https://doi.org/10.1109/lcomm.2024.3474251","title":"A Matrix-Inverse-Free WMMSE Algorithm to MISO Beamforming Based on Quasi-Newton","display_name":"A Matrix-Inverse-Free WMMSE Algorithm to MISO Beamforming Based on Quasi-Newton","publication_year":2024,"publication_date":"2024-10-04","ids":{"openalex":"https://openalex.org/W4403122883","doi":"https://doi.org/10.1109/lcomm.2024.3474251"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2024.3474251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2024.3474251","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"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 Communications Letters","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/A5021437029","display_name":"Mingjun Sun","orcid":"https://orcid.org/0009-0005-3860-9844"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingjun Sun","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0009-0005-3860-9844","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100392752","display_name":"Li Zeng","orcid":"https://orcid.org/0009-0000-7540-7815"},"institutions":[{"id":"https://openalex.org/I180662265","display_name":"China Mobile (China)","ror":"https://ror.org/05gftfe97","country_code":"CN","type":"company","lineage":["https://openalex.org/I180662265"]},{"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":"Zeng Li","raw_affiliation_strings":["State Key Laboratory of Mobile Network and Mobile Multimedia Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mobile Network and Mobile Multimedia Technology, Shenzhen, China","institution_ids":["https://openalex.org/I180662265","https://openalex.org/I4391767749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045420802","display_name":"Shaochuan Wu","orcid":"https://orcid.org/0000-0002-2362-3126"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaochuan Wu","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-2362-3126","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024252034","display_name":"Ruofei Ma","orcid":"https://orcid.org/0000-0001-7957-3271"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruofei Ma","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-7957-3271","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108996198","display_name":"Litong Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Litong Jiang","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5021437029"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18285772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"12","first_page":"2809","last_page":"2813"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.995199978351593,"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"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9950000047683716,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5993816256523132},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.5717712640762329},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49688389897346497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49520960450172424},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.472647100687027},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4114512503147125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3944464921951294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38402068614959717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35337743163108826},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.27318811416625977},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1341494917869568},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12479627132415771}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5993816256523132},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.5717712640762329},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49688389897346497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49520960450172424},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.472647100687027},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4114512503147125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3944464921951294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38402068614959717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35337743163108826},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.27318811416625977},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1341494917869568},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12479627132415771},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/lcomm.2024.3474251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2024.3474251","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6200000047683716,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1970830346","https://openalex.org/W1974598214","https://openalex.org/W2098126478","https://openalex.org/W2616867685","https://openalex.org/W2797462110","https://openalex.org/W3096252532","https://openalex.org/W3172818029","https://openalex.org/W4206633299","https://openalex.org/W4214923099","https://openalex.org/W4301014524","https://openalex.org/W4322576544"],"related_works":["https://openalex.org/W2963170046","https://openalex.org/W2376244802","https://openalex.org/W1971477554","https://openalex.org/W818226659","https://openalex.org/W2923631784","https://openalex.org/W4311414679","https://openalex.org/W2567141277","https://openalex.org/W2130785056","https://openalex.org/W2132841313","https://openalex.org/W2727286692"],"abstract_inverted_index":{"This":[0],"letter":[1],"propose":[2],"a":[3,71,93,131],"quasi-Newton":[4,35],"based":[5],"weighted":[6,19],"minimum":[7],"mean":[8],"square":[9],"error":[10],"(WMMSE)":[11],"algorithm":[12,121],"without":[13,53],"matrix":[14,55,80],"inverse":[15],"to":[16,43,62,98,104],"solve":[17,44],"the":[18,34,39,45,49,58,75,86,100,106,112,119,124],"sum":[20],"rate":[21],"(WSR)":[22],"maximization":[23],"problem":[24,47],"in":[25],"multi-user":[26],"multi-input":[27],"single-output":[28],"(MU-MISO)":[29],"beamforming.":[30],"On":[31],"one":[32],"hand,":[33,60],"method":[36],"can":[37,69,122],"replace":[38,99],"first-order":[40],"optimal":[41,107],"condition":[42,87],"extremum":[46],"of":[48,77,88],"convex":[50],"quadratic":[51],"function,":[52],"involving":[54],"inverse.":[56],"One":[57],"other":[59],"compared":[61],"projected":[63],"gradient":[64],"descent":[65],"(PGD)":[66],"approach,":[67],"it":[68],"achieve":[70,123],"faster":[72],"convergence":[73],"under":[74,85],"guidance":[76],"approximate":[78],"Hessian":[79],"and":[81],"avoid":[82],"performance":[83,126],"loss":[84],"high":[89],"transmit":[90],"power.":[91],"Furthermore,":[92],"learning":[94],"strategy":[95],"is":[96],"adopted":[97],"linear":[101],"searching":[102],"process":[103],"obtain":[105],"step":[108],"size":[109],"that":[110,118],"satisfies":[111],"Wolfe":[113],"condition.":[114],"Simulation":[115],"results":[116],"validate":[117],"proposed":[120],"same":[125],"as":[127],"WMMSE,":[128],"but":[129],"with":[130],"reduced":[132],"computation":[133],"complexity.":[134]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}