{"id":"https://openalex.org/W2039462258","doi":"https://doi.org/10.1109/tvt.2012.2227857","title":"Robust Multi-Antenna Multi-User Precoding Based on Generalized Multi-Unitary Decomposition With Partial CSI Feedback","display_name":"Robust Multi-Antenna Multi-User Precoding Based on Generalized Multi-Unitary Decomposition With Partial CSI Feedback","publication_year":2012,"publication_date":"2012-11-15","ids":{"openalex":"https://openalex.org/W2039462258","doi":"https://doi.org/10.1109/tvt.2012.2227857","mag":"2039462258"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2012.2227857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2012.2227857","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/A5084099394","display_name":"Wee Seng Chua","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Wee Seng Chua","raw_affiliation_strings":["Nanyang Technological University, Singapore","Nanyang Tech. Univ., Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Tech. Univ., Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060020877","display_name":"Chau Yuen","orcid":"https://orcid.org/0000-0002-9307-2120"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chau Yuen","raw_affiliation_strings":["Singapore University of Technology and Design, Singapore","Singapore University of Technology & Design, Singapore, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Singapore University of Technology and Design, Singapore","institution_ids":["https://openalex.org/I152815399"]},{"raw_affiliation_string":"Singapore University of Technology & Design, Singapore, Singapore#TAB#","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763983","display_name":"Yong Liang Guan","orcid":"https://orcid.org/0000-0002-9757-630X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yong Liang Guan","raw_affiliation_strings":["Nanyang Technological University, Singapore","Nanyang Tech. Univ., Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Tech. Univ., Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112740259","display_name":"Fran\u00e7ois Chin","orcid":null},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Francois Chin","raw_affiliation_strings":["Institute for Infocomm Research, Agency for Science, Technology and Research, Singapore","Institute for Infocomm Research, A*STAR,Singapore,Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Agency for Science, Technology and Research, Singapore","institution_ids":["https://openalex.org/I115228651","https://openalex.org/I3005327000"]},{"raw_affiliation_string":"Institute for Infocomm Research, A*STAR,Singapore,Singapore","institution_ids":["https://openalex.org/I115228651","https://openalex.org/I3005327000"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.068,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79529875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"2","first_page":"596","last_page":"605"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9987999796867371,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.998199999332428,"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/unitary-state","display_name":"Unitary state","score":0.4742000699043274},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.43677547574043274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4116930663585663},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3959573209285736},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.22147530317306519},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07107940316200256}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4742000699043274},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.43677547574043274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4116930663585663},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3959573209285736},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.22147530317306519},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07107940316200256},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2012.2227857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2012.2227857","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1667950888","https://openalex.org/W1981745143","https://openalex.org/W2030546921","https://openalex.org/W2036298026","https://openalex.org/W2087327447","https://openalex.org/W2103749601","https://openalex.org/W2125270204","https://openalex.org/W2126225309","https://openalex.org/W2129994137","https://openalex.org/W2130509920","https://openalex.org/W2143927285","https://openalex.org/W2147643489","https://openalex.org/W2151391159","https://openalex.org/W2151795416","https://openalex.org/W2153008135","https://openalex.org/W2160432600","https://openalex.org/W2161410889","https://openalex.org/W2164218958","https://openalex.org/W2164536085","https://openalex.org/W2165350939","https://openalex.org/W6672519859"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4281688526","https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W4366493479","https://openalex.org/W2401571617","https://openalex.org/W2905893439","https://openalex.org/W3135374966","https://openalex.org/W2953205382","https://openalex.org/W3154774209"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,116],"present":[4],"a":[5,44],"novel":[6],"matrix":[7,36],"decomposition":[8,13],"method,":[9],"called":[10],"generalized":[11],"multi-unitary":[12],"(GMUD),":[14],"and":[15,28,48,82,142],"use":[16],"it":[17,62,131],"to":[18,92,100,119,147],"achieve":[19],"robust":[20,146],"multi-antenna":[21],"multi-user":[22,111],"multiple-input-multiple-output":[23],"(MIMO)":[24],"precoding":[25,95,108,113,128],"with":[26,106],"limited":[27],"partial":[29,134],"channel":[30,135],"information":[31,137],"feedback.":[32],"GMUD":[33,59,90,127],"transforms":[34],"complex":[35],"{H}":[37],"into":[38],"H":[39],"=":[40],"P\u03b8,rRrQ\u03b8,rH,":[41],"where":[42],"Rris":[43],"lower":[45],"triangular":[46],"matrix,":[47],"P\u03b8,":[49,70],"rand":[50,71],"Q\u03b8,":[51,72],"rare":[52],"unitary":[53,68],"matrices.":[54],"A":[55],"unique":[56],"feature":[57],"of":[58,66,97,126],"is":[60,145],"that":[61,115,130],"gives":[63],"multiple":[64,121],"solutions":[65],"the":[67,78,89,94,124,140],"matrices":[69],"rbased":[73],"on":[74],"two":[75],"parameters,":[76],"namely":[77],"direction":[79],"parameter":[80,84],"\u03b8":[81],"magnitude":[83],"r.":[85],"This":[86],"property":[87],"enables":[88],"precoder":[91],"steer":[93],"vectors":[96],"different":[98],"users":[99],"jointly":[101],"optimize":[102],"their":[103],"performance.":[104],"Compared":[105],"regularized-inverse":[107],"(an":[109],"existing":[110],"MIMO":[112],"technique":[114],"have":[117],"extended":[118],"handle":[120],"receive":[122],"antennas),":[123],"advantages":[125],"are":[129],"requires":[132],"only":[133],"state":[136],"(CSI)":[138],"from":[139],"users,":[141],"its":[143],"performance":[144],"CSI":[148],"quantization.":[149]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}