{"id":"https://openalex.org/W3123227699","doi":"https://doi.org/10.1109/tvt.2021.3053606","title":"Alignment Chain-Based Closed-Form IA Solution for Multiple User MIMO Interference Networks","display_name":"Alignment Chain-Based Closed-Form IA Solution for Multiple User MIMO Interference Networks","publication_year":2021,"publication_date":"2021-01-22","ids":{"openalex":"https://openalex.org/W3123227699","doi":"https://doi.org/10.1109/tvt.2021.3053606","mag":"3123227699"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2021.3053606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2021.3053606","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5100627440","display_name":"Weihua Liu","orcid":"https://orcid.org/0000-0002-0919-1101"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weihua Liu","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114734352","display_name":"Zhe Zhang","orcid":"https://orcid.org/0000-0001-6165-3388"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Zhang","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102767026","display_name":"Lixun Huang","orcid":"https://orcid.org/0000-0003-3960-8104"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lixun Huang","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050441600","display_name":"Jin Xu","orcid":"https://orcid.org/0000-0002-6918-2493"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Xu","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100630225","display_name":"Xueyan Chen","orcid":"https://orcid.org/0000-0002-7567-3010"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueyan Chen","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I23171815"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100627440"],"corresponding_institution_ids":["https://openalex.org/I23171815"],"apc_list":null,"apc_paid":null,"fwci":0.7019,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.68211433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"2","first_page":"1518","last_page":"1527"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9993000030517578,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9993000030517578,"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":0.9991999864578247,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9980999827384949,"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/interference","display_name":"Interference (communication)","score":0.7413510084152222},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7066607475280762},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7039523124694824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5500766038894653},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.5277396440505981},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5187402367591858},{"id":"https://openalex.org/keywords/closed-form-expression","display_name":"Closed-form expression","score":0.47619903087615967},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.452114462852478},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4428150951862335},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4288516044616699},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4213476777076721},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4108128547668457},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3683040738105774},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3654538094997406},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3365105390548706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2763713598251343},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13567021489143372},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0835900604724884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06408804655075073}],"concepts":[{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7413510084152222},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7066607475280762},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7039523124694824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5500766038894653},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.5277396440505981},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5187402367591858},{"id":"https://openalex.org/C4530962","wikidata":"https://www.wikidata.org/wiki/Q777407","display_name":"Closed-form expression","level":2,"score":0.47619903087615967},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.452114462852478},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4428150951862335},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4288516044616699},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4213476777076721},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4108128547668457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3683040738105774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3654538094997406},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3365105390548706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2763713598251343},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13567021489143372},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0835900604724884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06408804655075073},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/tvt.2021.3053606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2021.3053606","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7300000190734863,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3795551530","display_name":null,"funder_award_id":"61901418","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1497652442","https://openalex.org/W1901462474","https://openalex.org/W1979408141","https://openalex.org/W2004261797","https://openalex.org/W2098363461","https://openalex.org/W2101217058","https://openalex.org/W2114755738","https://openalex.org/W2136608712","https://openalex.org/W2137860976","https://openalex.org/W2139960897","https://openalex.org/W2168095411","https://openalex.org/W2210514616","https://openalex.org/W2217718762","https://openalex.org/W2327182705","https://openalex.org/W2524363831","https://openalex.org/W2570379807","https://openalex.org/W2573538591","https://openalex.org/W2594125447","https://openalex.org/W2595998121","https://openalex.org/W2615470612","https://openalex.org/W2744038534","https://openalex.org/W2747309475","https://openalex.org/W2791509307","https://openalex.org/W2800861779","https://openalex.org/W2807224212","https://openalex.org/W2907165883","https://openalex.org/W2944899018","https://openalex.org/W2946833628","https://openalex.org/W2963396757","https://openalex.org/W3018367524","https://openalex.org/W3103256481","https://openalex.org/W3104422345"],"related_works":["https://openalex.org/W2556113510","https://openalex.org/W2027804955","https://openalex.org/W2787201223","https://openalex.org/W2573753362","https://openalex.org/W2963680404","https://openalex.org/W4285814410","https://openalex.org/W3104985379","https://openalex.org/W1973478252","https://openalex.org/W4301776086","https://openalex.org/W1983450101"],"abstract_inverted_index":{"As":[0],"a":[1,53],"potential":[2],"interference":[3,6,71,85],"management":[4],"technique,":[5],"alignment":[7,54,74,102,105],"(IA)":[8],"can":[9],"enormously":[10],"improve":[11],"the":[12,16,22,28,39,43,80,84,89,101,104,111,119,130,144],"system":[13],"capacity":[14],"in":[15,27],"future":[17],"mobile":[18],"communication":[19],"networks.":[20],"However,":[21],"general":[23],"closed-form":[24,56,146],"IA":[25,48,57,113,121,147],"solution":[26,58,114,122],"multiple":[29],"user":[30],"scenario":[31],"is":[32,60,126],"still":[33],"an":[34],"open":[35],"problem,":[36],"which":[37],"hinders":[38],"implementation":[40],"due":[41],"to":[42,142],"high":[44],"complexity":[45],"of":[46,82,91,132,136],"iterative":[47],"design.":[49],"In":[50],"this":[51],"paper,":[52],"chain-based":[55],"scheme":[59],"proposed":[61,145],"for":[62],"generalized":[63],"K":[64],"(K":[65],">":[66],"3)-user":[67],"multiple-input":[68],"multiple-output":[69],"(MIMO)":[70],"channel.":[72],"The":[73],"chains":[75],"are":[76,108,139],"sophisticatedly":[77],"designed,":[78],"on":[79,100],"basis":[81],"compressing":[83],"subspace":[86],"and":[87,110,149,155],"improving":[88],"degree":[90],"freedom":[92],"(DoF)":[93],"as":[94,96],"much":[95],"possible.":[97],"Then":[98],"based":[99],"chains,":[103],"chain":[106],"equations":[107],"built,":[109],"least-squares":[112],"with":[115,123],"optimal":[116],"DoF":[117,125],"or":[118],"exact":[120],"reduced":[124],"provided,":[127],"by":[128],"using":[129],"theory":[131],"matrices.":[133],"A":[134],"series":[135],"simulation":[137,150],"experiments":[138],"carried":[140],"out":[141],"verify":[143],"solution,":[148],"results":[151],"demonstrate":[152],"its":[153],"effectiveness":[154],"low":[156],"computational":[157],"complexity.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
