{"id":"https://openalex.org/W2026265391","doi":"https://doi.org/10.1109/tsp.2010.2084083","title":"Vector Perturbation Precoding Revisited","display_name":"Vector Perturbation Precoding Revisited","publication_year":2010,"publication_date":"2010-10-08","ids":{"openalex":"https://openalex.org/W2026265391","doi":"https://doi.org/10.1109/tsp.2010.2084083","mag":"2026265391"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2084083","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2084083","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/A5054835369","display_name":"Johannes Maurer","orcid":"https://orcid.org/0009-0005-9460-2065"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Johannes Maurer","raw_affiliation_strings":["Vienna University of Technology, Institute of Communications and Radio-Frequency Engineering, Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Institute of Communications and Radio-Frequency Engineering, Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059936184","display_name":"Joakim Jald\u00e9n","orcid":"https://orcid.org/0000-0001-6630-243X"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT","SE"],"is_corresponding":false,"raw_author_name":"Joakim Jalden","raw_affiliation_strings":["Royal Institute of Technology, KTH Signal Processing Lab, Stockhom, Sweden","Vienna University of Technology, Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Royal Institute of Technology, KTH Signal Processing Lab, Stockhom, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Vienna University of Technology, Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041671661","display_name":"Dominik Seethaler","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Dominik Seethaler","raw_affiliation_strings":["Communication Technology Lab, Zurich, Switzerland","Communication Technology Laboratory, ETH Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Communication Technology Lab, Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"Communication Technology Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012959491","display_name":"Gerald Matz","orcid":"https://orcid.org/0000-0003-1784-806X"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Gerald Matz","raw_affiliation_strings":["Vienna University of Technology, Institute of Communications and Radio-Frequency Engineering, Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Institute of Communications and Radio-Frequency Engineering, Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054835369"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":3.4637,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.92638713,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"1","first_page":"315","last_page":"328"},"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":0.9997000098228455,"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/T11409","display_name":"Advanced Wireless Network 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"}}],"keywords":[{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.9559882283210754},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.7479797601699829},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.7253221273422241},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.634213924407959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5989482998847961},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5720028877258301},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5309554934501648},{"id":"https://openalex.org/keywords/transmit-diversity","display_name":"Transmit diversity","score":0.5132830142974854},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.506953239440918},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.5026428699493408},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.43603402376174927},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4043312668800354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.367931604385376},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.35271918773651123},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33631086349487305},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3303053677082062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3161768913269043},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.28808537125587463},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.22552156448364258},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14634406566619873}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.9559882283210754},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.7479797601699829},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.7253221273422241},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.634213924407959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5989482998847961},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5720028877258301},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5309554934501648},{"id":"https://openalex.org/C117218131","wikidata":"https://www.wikidata.org/wiki/Q7834664","display_name":"Transmit diversity","level":4,"score":0.5132830142974854},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.506953239440918},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.5026428699493408},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.43603402376174927},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4043312668800354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.367931604385376},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.35271918773651123},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33631086349487305},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3303053677082062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3161768913269043},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.28808537125587463},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.22552156448364258},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14634406566619873},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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":1,"locations":[{"id":"doi:10.1109/tsp.2010.2084083","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2084083","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/1","score":0.7599999904632568,"display_name":"No poverty"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W595252221","https://openalex.org/W1486172712","https://openalex.org/W1634453275","https://openalex.org/W1965392255","https://openalex.org/W1976109068","https://openalex.org/W1995990042","https://openalex.org/W2001093624","https://openalex.org/W2012255181","https://openalex.org/W2030546921","https://openalex.org/W2041943023","https://openalex.org/W2072184935","https://openalex.org/W2074120933","https://openalex.org/W2087390902","https://openalex.org/W2097578209","https://openalex.org/W2102523515","https://openalex.org/W2107057703","https://openalex.org/W2111135554","https://openalex.org/W2112943043","https://openalex.org/W2114476634","https://openalex.org/W2117723531","https://openalex.org/W2120103401","https://openalex.org/W2126483728","https://openalex.org/W2128895121","https://openalex.org/W2129766733","https://openalex.org/W2140940105","https://openalex.org/W2148907454","https://openalex.org/W2150764210","https://openalex.org/W2151795416","https://openalex.org/W2152135092","https://openalex.org/W2158492447","https://openalex.org/W2160923845","https://openalex.org/W2161410889","https://openalex.org/W2164536085","https://openalex.org/W2167469460","https://openalex.org/W2610335499","https://openalex.org/W3099403245","https://openalex.org/W4293259454","https://openalex.org/W6636742871","https://openalex.org/W6679173693"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2326544815","https://openalex.org/W1973158664","https://openalex.org/W1731022149","https://openalex.org/W1996933839","https://openalex.org/W2000226056","https://openalex.org/W4386858283","https://openalex.org/W1976511355","https://openalex.org/W2082469387","https://openalex.org/W1985632843"],"abstract_inverted_index":{"We":[0,77,140],"consider":[1],"the":[2,12,28,49,52,62,80,89,120,129,158,163],"downlink":[3],"of":[4,23,82,84,91,162,169,176],"a":[5,20,35,66,108,123,153,177],"multiuser":[6],"system":[7],"with":[8,152],"multiple":[9],"antennas":[10],"at":[11,157],"base":[13],"station.":[14],"Vector":[15],"perturbation":[16],"(VP)":[17],"precoding":[18,40,116],"is":[19,172],"promising":[21],"variant":[22],"transmit-side":[24],"channel":[25,56,136],"inversion":[26],"allowing":[27],"users":[29],"to":[30,144,150],"detect":[31],"their":[32],"data":[33],"in":[34,98,174],"simple,":[36],"noncooperative":[37],"manner.":[38],"VP":[39,92,149],"has":[41,54],"so":[42],"far":[43],"been":[44],"developed":[45],"and":[46,60,72,94,131,147,181],"analyzed":[47],"under":[48,166],"assumptions":[50,87],"that":[51,61,79],"transmitter":[53,121],"perfect":[55],"state":[57],"information":[58],"(CSI)":[59],"receivers":[63,130],"know":[64],"perfectly":[65],"channel-dependent":[67],"transmit":[68,114,170],"power":[69,125],"normalization":[70],"factor":[71],"have":[73],"infinite":[74],"dynamic":[75,155],"range.":[76],"demonstrate":[78],"violation":[81],"any":[83],"these":[85],"idealizing":[86],"degrades":[88],"performance":[90,161],"significantly":[93],"almost":[95],"always":[96],"results":[97],"an":[99],"error":[100],"floor.":[101],"Motivated":[102],"by":[103,128,183],"this":[104],"observation,":[105],"we":[106,112],"propose":[107],"novel":[109],"scheme":[110],"which":[111],"term":[113],"outage":[115],"(TOP).":[117],"With":[118],"TOP,":[119],"uses":[122],"prearranged":[124],"scaling":[126],"known":[127],"refrains":[132],"from":[133],"transmitting":[134],"when":[135],"conditions":[137],"are":[138],"poor.":[139],"further":[141],"show":[142],"how":[143],"augment":[145],"TOP":[146],"conventional":[148],"deal":[151],"finite":[154],"range":[156],"receiver.":[159],"The":[160],"proposed":[164],"schemes":[165],"various":[167],"levels":[168],"CSI":[171],"studied":[173],"terms":[175],"theoretical":[178],"diversity":[179],"analysis":[180],"illustrated":[182],"numerical":[184],"results.":[185]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}