{"id":"https://openalex.org/W2121183899","doi":"https://doi.org/10.1109/acssc.2008.5074415","title":"A GMD-based precoding scheme for downlink multiuser multistream MIMO channels","display_name":"A GMD-based precoding scheme for downlink multiuser multistream MIMO channels","publication_year":2008,"publication_date":"2008-10-01","ids":{"openalex":"https://openalex.org/W2121183899","doi":"https://doi.org/10.1109/acssc.2008.5074415","mag":"2121183899"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2008.5074415","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2008.5074415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Asilomar Conference on Signals, Systems and Computers","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/conference_contribution/A_GMD-based_precoding_scheme_for_downlink_multiuser_multistream_MIMO_channels/9558014","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108968488","display_name":"Zhilan Xiong","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Zhilan Xiong","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","Adv. Signal Process. Group, Loughborough Univ., Loughborough"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Adv. Signal Process. Group, Loughborough Univ., Loughborough","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022704271","display_name":"R. Krishna","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ranaji Krishna","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","Adv. Signal Process. Group, Loughborough Univ., Loughborough"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Adv. Signal Process. Group, Loughborough Univ., Loughborough","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009232291","display_name":"Sangarapillai Lambotharan","orcid":"https://orcid.org/0000-0001-5255-7036"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sangarapillai Lambotharan","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","Adv. Signal Process. Group, Loughborough Univ., Loughborough"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Adv. Signal Process. Group, Loughborough Univ., Loughborough","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007993661","display_name":"Jonathon A. Chambers","orcid":"https://orcid.org/0000-0002-7224-8553"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jonathon A. Chambers","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","Adv. Signal Process. Group, Loughborough Univ., Loughborough"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, Leicestershire, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Adv. Signal Process. Group, Loughborough Univ., Loughborough","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108968488"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.339,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65967804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"311","last_page":"315"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9994999766349792,"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":0.9980000257492065,"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/precoding","display_name":"Precoding","score":0.8599938154220581},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6921358108520508},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.6800321340560913},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6002182960510254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5727552175521851},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5633012652397156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5468868017196655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47873803973197937},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.474591463804245},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46595367789268494},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.4284036457538605},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41881436109542847},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41404181718826294},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.17397606372833252},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1305038034915924},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10874384641647339},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06068578362464905}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.8599938154220581},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6921358108520508},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.6800321340560913},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6002182960510254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5727552175521851},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5633012652397156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5468868017196655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47873803973197937},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.474591463804245},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46595367789268494},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.4284036457538605},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41881436109542847},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41404181718826294},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.17397606372833252},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1305038034915924},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10874384641647339},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06068578362464905},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/acssc.2008.5074415","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2008.5074415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Asilomar Conference on Signals, Systems and Computers","raw_type":"proceedings-article"},{"id":"pmh:oai:figshare.com:article/9558014","is_oa":true,"landing_page_url":"https://figshare.com/articles/A_GMD-based_precoding_scheme_for_downlink_multiuser_multistream_MIMO_channels/9558014","pdf_url":"https://figshare.com/articles/conference_contribution/A_GMD-based_precoding_scheme_for_downlink_multiuser_multistream_MIMO_channels/9558014","source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"<dc:type>Conference contribution"},{"id":"pmh:oai:alma.44SUR_INST:11138804080002346","is_oa":false,"landing_page_url":"http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&amp;SrcApp=PARTNER_APP&amp;SrcAuth=LinksAMR&amp;KeyUT=WOS:000274551000058&amp;DestLinkType=FullRecord&amp;DestApp=ALL_WOS&amp;UsrCustomerID=11d2a86992e85fb529977dad66a846d5","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"event"},{"id":"pmh:oai:dspace.lboro.ac.uk:2134/5537","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/5537","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Contribution"},{"id":"pmh:oai:epubs.surrey.ac.uk:839183","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/839183/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/9558014","is_oa":true,"landing_page_url":"https://figshare.com/articles/A_GMD-based_precoding_scheme_for_downlink_multiuser_multistream_MIMO_channels/9558014","pdf_url":"https://figshare.com/articles/conference_contribution/A_GMD-based_precoding_scheme_for_downlink_multiuser_multistream_MIMO_channels/9558014","source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"<dc:type>Conference contribution"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2121183899.pdf","grobid_xml":"https://content.openalex.org/works/W2121183899.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W124555903","https://openalex.org/W1667950888","https://openalex.org/W1974598848","https://openalex.org/W1976109068","https://openalex.org/W2096765600","https://openalex.org/W2098126478","https://openalex.org/W2098660254","https://openalex.org/W2098951543","https://openalex.org/W2099003693","https://openalex.org/W2100995993","https://openalex.org/W2105857076","https://openalex.org/W2109211694","https://openalex.org/W2110068602","https://openalex.org/W2110323470","https://openalex.org/W2111451941","https://openalex.org/W2112300062","https://openalex.org/W2129447772","https://openalex.org/W2140882407","https://openalex.org/W2142905341","https://openalex.org/W2150764210","https://openalex.org/W2155721651","https://openalex.org/W2156004493","https://openalex.org/W2156779572","https://openalex.org/W2159731934","https://openalex.org/W2160432600","https://openalex.org/W2161473225","https://openalex.org/W6605054646"],"related_works":["https://openalex.org/W4281688526","https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W2401571617","https://openalex.org/W2548963335","https://openalex.org/W2905893439","https://openalex.org/W3135374966","https://openalex.org/W4366493479","https://openalex.org/W3141240674","https://openalex.org/W2553710680"],"abstract_inverted_index":{"In":[0],"order":[1],"to":[2,21,75,95],"obtain":[3,50],"a":[4,34,45,69],"good":[5],"balance":[6],"of":[7,33,53,81,89,112],"bit":[8],"error":[9],"rate":[10],"(BER)":[11],"across":[12],"channels,":[13],"the":[14,23,31,77,82,86,90,96,100,108,113,123,130,135,140],"geometric":[15],"mean":[16],"decomposition":[17,26],"(GMD)":[18],"is":[19,73,93,120],"introduced":[20],"replace":[22],"singular":[24],"value":[25],"(SVD)":[27],"for":[28],"precoding":[29,54],"in":[30],"downlink":[32],"multiuser":[35],"multistream":[36],"multiple-input":[37],"multiple-output":[38],"(MIMO)":[39],"system.":[40],"By":[41],"combining":[42],"GMD":[43,58,72,119,133,138],"with":[44],"block":[46,114],"diagonalization":[47,115],"method,":[48],"we":[49],"two":[51],"kinds":[52],"schemes:":[55],"iterative":[56,83,97,136],"nullspace-directed":[57,61,71,132,137,142],"and":[59,67,129,139],"non-iterative":[60,141],"GMD.":[62,143],"Considering":[63],"their":[64],"respective":[65],"advantages":[66],"disadvantages,":[68],"mixed":[70,91,131],"proposed":[74],"solve":[76],"convergence":[78],"related":[79],"problems":[80],"method.":[84],"Furthermore,":[85],"computational":[87],"complexity":[88],"scheme":[92,98],"similar":[94],"under":[99],"same":[101,124],"conditions.":[102],"The":[103],"simulation":[104],"results":[105],"show":[106],"that":[107],"average":[109],"BER":[110],"performance":[111],"method":[116,125],"based":[117,126],"on":[118,127],"better":[121],"than":[122],"SVD,":[128],"outperforms":[134]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
