{"id":"https://openalex.org/W2123179278","doi":"https://doi.org/10.1109/tsp.2009.2026517","title":"On Convex Vector Precoding for Multiuser MIMO Broadcast Channels","display_name":"On Convex Vector Precoding for Multiuser MIMO Broadcast Channels","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2123179278","doi":"https://doi.org/10.1109/tsp.2009.2026517","mag":"2123179278"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2026517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2026517","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5055296882","display_name":"Rodrigo de Miguel","orcid":"https://orcid.org/0000-0002-4057-3570"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"R. de Miguel","raw_affiliation_strings":["Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway","Dept. of Electron. & Telecommun., Norwegian Univ. of Sci. & Technol., Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun., Norwegian Univ. of Sci. & Technol., Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026710677","display_name":"Ralf R. M\u00fcller","orcid":"https://orcid.org/0000-0003-3780-9308"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"R.R. Muller","raw_affiliation_strings":["Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway","Dept. of Electron. & Telecommun., Norwegian Univ. of Sci. & Technol., Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun., Norwegian Univ. of Sci. & Technol., Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204778367"],"apc_list":null,"apc_paid":null,"fwci":1.2011,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8117322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"57","issue":"11","first_page":"4497","last_page":"4508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","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/precoding","display_name":"Precoding","score":0.9195663332939148},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.6005258560180664},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.545203447341919},{"id":"https://openalex.org/keywords/noisy-channel-coding-theorem","display_name":"Noisy-channel coding theorem","score":0.5046902894973755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4794829785823822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46066418290138245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.433480441570282},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.41036325693130493},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36290284991264343},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.35124868154525757},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3423149287700653},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3407690227031708},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.251046359539032},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1828162968158722},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.13450777530670166}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.9195663332939148},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.6005258560180664},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.545203447341919},{"id":"https://openalex.org/C103073706","wikidata":"https://www.wikidata.org/wiki/Q2345282","display_name":"Noisy-channel coding theorem","level":5,"score":0.5046902894973755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4794829785823822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46066418290138245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.433480441570282},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.41036325693130493},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36290284991264343},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.35124868154525757},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3423149287700653},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3407690227031708},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.251046359539032},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1828162968158722},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.13450777530670166},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2009.2026517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2026517","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.555.7943","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.555.7943","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iet.ntnu.no/~ralf/papers/sp09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W341382971","https://openalex.org/W1527520754","https://openalex.org/W1572529050","https://openalex.org/W1599295008","https://openalex.org/W1606682910","https://openalex.org/W2018095004","https://openalex.org/W2019705392","https://openalex.org/W2022820481","https://openalex.org/W2027733687","https://openalex.org/W2041943023","https://openalex.org/W2072184935","https://openalex.org/W2085610073","https://openalex.org/W2088720677","https://openalex.org/W2097578209","https://openalex.org/W2105147296","https://openalex.org/W2113391146","https://openalex.org/W2116394223","https://openalex.org/W2129755576","https://openalex.org/W2138358551","https://openalex.org/W2139490030","https://openalex.org/W2142051354","https://openalex.org/W2148907454","https://openalex.org/W2152135092","https://openalex.org/W2158492447","https://openalex.org/W2162731371","https://openalex.org/W2164536085","https://openalex.org/W2296319761","https://openalex.org/W2505777393","https://openalex.org/W2539127294","https://openalex.org/W2610053348","https://openalex.org/W2987447514","https://openalex.org/W3099403245","https://openalex.org/W3102487514","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2326544815","https://openalex.org/W2489379490","https://openalex.org/W1973158664","https://openalex.org/W1731022149","https://openalex.org/W1996933839","https://openalex.org/W2000226056","https://openalex.org/W3190864439","https://openalex.org/W4386858283","https://openalex.org/W4315778014"],"abstract_inverted_index":{"We":[0],"propose":[1],"different":[2,28],"convex":[3],"alphabet":[4],"relaxation":[5],"schemes":[6,30],"for":[7,23],"vector":[8],"precoding":[9,29],"in":[10,44,77,80],"MIMO":[11],"broadcast":[12],"channels":[13],"using":[14,49],"binary,":[15],"quaternary":[16],"and":[17],"octonary":[18],"modulation.":[19],"Expressions":[20],"are":[21],"presented":[22],"the":[24,27,45,50,81,87],"probability":[25],"of":[26,40,86],"to":[31],"achieve":[32],"interference-free":[33],"communication":[34],"over":[35],"singular":[36],"channels.":[37],"The":[38,84],"energy":[39],"transmission":[41],"is":[42,61,90],"evaluated":[43],"many":[46],"user":[47],"limit":[48],"replica":[51],"method":[52],"from":[53],"statistical":[54],"physics.":[55],"An":[56],"alternative":[57],"channel":[58],"inversion":[59],"technique":[60],"proposed":[62],"which":[63],"makes":[64],"purely":[65],"real":[66],"binary":[67],"alphabets":[68],"perform":[69],"as":[70,72],"well":[71],"their":[73],"complex":[74],"extensions,":[75],"resulting":[76],"reduced":[78],"complexity":[79],"optimization":[82],"process.":[83],"relevance":[85],"asymptotic":[88],"analysis":[89],"confirmed":[91],"by":[92],"finite":[93],"size":[94],"simulations.":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}