{"id":"https://openalex.org/W2060995293","doi":"https://doi.org/10.1109/pimrc.2013.6666308","title":"A limited feedback scheme for 3D multiuser MIMO based on Kronecker product codebook","display_name":"A limited feedback scheme for 3D multiuser MIMO based on Kronecker product codebook","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W2060995293","doi":"https://doi.org/10.1109/pimrc.2013.6666308","mag":"2060995293"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2013.6666308","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2013.6666308","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-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/A5000730473","display_name":"Yaqin Xie","orcid":"https://orcid.org/0000-0003-2266-023X"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Xie","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013079905","display_name":"Shi Jin","orcid":"https://orcid.org/0000-0003-0271-6021"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi Jin","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115596310","display_name":"Jue Wang","orcid":"https://orcid.org/0009-0006-2492-3311"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jue Wang","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108086668","display_name":"Yongxu Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Yongxu Zhu","raw_affiliation_strings":["School of Electronic Engineering, Dublin City University, Dublin, Ireland","Sch. Of Electron. Eng., Dublin City Univ., Dublin, Ireland"],"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Dublin City University, Dublin, Ireland","institution_ids":["https://openalex.org/I42934936"]},{"raw_affiliation_string":"Sch. Of Electron. Eng., Dublin City Univ., Dublin, Ireland","institution_ids":["https://openalex.org/I42934936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050692023","display_name":"Xiqi Gao","orcid":"https://orcid.org/0000-0001-9107-6593"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiqi Gao","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056225611","display_name":"Yongming Huang","orcid":"https://orcid.org/0009-0009-2545-2875"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongming Huang","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"National Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5000730473"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":4.4925,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.94965938,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1130","last_page":"1135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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":1.0,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9966999888420105,"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/T11458","display_name":"Advanced Wireless Communication Technologies","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"}}],"keywords":[{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.9750902652740479},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.773882269859314},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7639126181602478},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.608583390712738},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.5778838992118835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.576446533203125},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5735592246055603},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4819078743457794},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.48094433546066284},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4639410972595215},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.41394326090812683},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37272679805755615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37201356887817383},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1719081699848175},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.13185226917266846},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12709644436836243}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.9750902652740479},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.773882269859314},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7639126181602478},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.608583390712738},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.5778838992118835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.576446533203125},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5735592246055603},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4819078743457794},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.48094433546066284},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4639410972595215},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.41394326090812683},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37272679805755615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37201356887817383},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1719081699848175},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.13185226917266846},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12709644436836243},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2013.6666308","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2013.6666308","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2025110342","https://openalex.org/W2092877250","https://openalex.org/W2098126478","https://openalex.org/W2099035617","https://openalex.org/W2109572026","https://openalex.org/W2124342900","https://openalex.org/W2135122024","https://openalex.org/W2164664877"],"related_works":["https://openalex.org/W2123156148","https://openalex.org/W2012665287","https://openalex.org/W123417539","https://openalex.org/W4233239985","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W2117054468","https://openalex.org/W2117336295","https://openalex.org/W2073634779","https://openalex.org/W3102722572"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2,110],"a":[3,143],"new":[4],"codebook":[5,10],"structure":[6],"called":[7],"Kronecker-product":[8],"based":[9,50,117],"(KPC),":[11],"where":[12],"each":[13,68],"codeword":[14],"is":[15,33,57],"the":[16,26,37,52,86,94,102,105,124],"Kronecker":[17],"product":[18],"of":[19,104,113],"two":[20,111],"oversampled":[21],"DFT":[22],"codewords":[23,61,98,114],"in":[24],"both":[25,123],"horizontal":[27],"and":[28,81,89,126],"vertical":[29],"domains.":[30],"The":[31],"KPC":[32],"especially":[34],"suitable":[35],"for":[36],"three-dimensional":[38],"(3D)":[39],"multiuser":[40],"multi-input":[41],"multi-output":[42],"(MU-MIMO)":[43],"systems.":[44],"Besides,":[45],"channel":[46,82],"state":[47],"information":[48],"feedback":[49,107,140,150],"on":[51,118],"best":[53,73,77],"companion":[54],"cluster":[55,79],"scheme":[56,141],"investigated.":[58],"Since":[59],"all":[60],"have":[62],"been":[63],"grouped":[64],"into":[65],"several":[66],"clusters,":[67],"user":[69],"feeds":[70],"back":[71],"its":[72],"precoding":[74],"matrix":[75],"index,":[76],"interference":[78],"index":[80],"quality":[83],"information,":[84],"then":[85],"BS":[87],"pairs":[88],"schedules":[90],"users":[91],"according":[92],"to":[93],"received":[95],"feedback.":[96],"Different":[97],"clustering":[99,115],"methods":[100,116],"affect":[101],"performance":[103],"limited":[106],"schemes.":[108],"We":[109],"kinds":[112],"3D":[119,138],"beam":[120],"patterns,":[121],"including":[122],"symmetric":[125],"asymmetric":[127],"one.":[128],"Simulation":[129],"shows":[130],"that":[131],"with":[132],"properly":[133],"clustered":[134],"codewords,":[135],"our":[136],"proposed":[137],"MU-MIMO":[139,149],"has":[142],"significant":[144],"throughput":[145],"gain":[146],"against":[147],"2D":[148],"scheme.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
