{"id":"https://openalex.org/W2054855371","doi":"https://doi.org/10.1155/2009/475273","title":"On the Asymptotic Optimality of Opportunistic Norm-Based User Selection with Hard SINR Constraint","display_name":"On the Asymptotic Optimality of Opportunistic Norm-Based User Selection with Hard SINR Constraint","publication_year":2009,"publication_date":"2009-08-30","ids":{"openalex":"https://openalex.org/W2054855371","doi":"https://doi.org/10.1155/2009/475273","mag":"2054855371"},"language":"en","primary_location":{"id":"doi:10.1155/2009/475273","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/475273","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/475273","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/475273","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100430813","display_name":"Xi Zhang","orcid":"https://orcid.org/0000-0001-9369-0060"},"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"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Xi Zhang","raw_affiliation_strings":["Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology (KTH), 10044, Stockholm, SE, Sweden","Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, SE, Sweden"],"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology (KTH), 10044, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029956964","display_name":"Eduard A. Jorswieck","orcid":"https://orcid.org/0000-0001-7893-8435"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eduard A. Jorswieck","raw_affiliation_strings":["Communications Laboratory, Faculty of Electrical Engineering and Information Technology, Dresden University of Technology, 01062, Dresden, Germany","Communications Laboratory, Faculty of Electrical Engineering and Information Technology, Dresden University of Technology, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Communications Laboratory, Faculty of Electrical Engineering and Information Technology, Dresden University of Technology, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Communications Laboratory, Faculty of Electrical Engineering and Information Technology, Dresden University of Technology, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080037825","display_name":"Bj\u00f6rn Ottersten","orcid":"https://orcid.org/0000-0003-2298-6774"},"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"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Bj\u00f6rn Ottersten","raw_affiliation_strings":["Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology (KTH), 10044, Stockholm, SE, Sweden","Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, SE, Sweden"],"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology (KTH), 10044, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, SE, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058510086","display_name":"Arogyasvsami Paulraj","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arogyasvsami Paulraj","raw_affiliation_strings":["Information Systems Laboratory, Stanford University, CA, 94305, USA","Information Systems Laboratory, Stanford University, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Stanford University, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Information Systems Laboratory, Stanford University, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100430813"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.6091,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71416178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994000196456909,"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":0.9994000196456909,"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/beamforming","display_name":"Beamforming","score":0.7741914987564087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6520363092422485},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.6464499235153198},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6243362426757812},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5742133855819702},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.49469229578971863},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4916256070137024},{"id":"https://openalex.org/keywords/multi-user","display_name":"Multi-user","score":0.4854791462421417},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4752240777015686},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.46031898260116577},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.458662211894989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3555917739868164},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.23211854696273804},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20916473865509033},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.19501060247421265}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7741914987564087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6520363092422485},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.6464499235153198},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6243362426757812},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5742133855819702},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.49469229578971863},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4916256070137024},{"id":"https://openalex.org/C2778002699","wikidata":"https://www.wikidata.org/wiki/Q876057","display_name":"Multi-user","level":2,"score":0.4854791462421417},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4752240777015686},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.46031898260116577},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.458662211894989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3555917739868164},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.23211854696273804},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20916473865509033},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.19501060247421265},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2009/475273","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/475273","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/475273","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/9156","is_oa":false,"landing_page_url":"https://orbilu.uni.lu/handle/10993/9156","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing. Heidelberg, Germany: SpringerOpen (2009).","raw_type":null}],"best_oa_location":{"id":"doi:10.1155/2009/475273","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/475273","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/475273","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2054855371.pdf","grobid_xml":"https://content.openalex.org/works/W2054855371.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W18938960","https://openalex.org/W1545861347","https://openalex.org/W1667165204","https://openalex.org/W1829774258","https://openalex.org/W2076611946","https://openalex.org/W2077661892","https://openalex.org/W2083962008","https://openalex.org/W2094438648","https://openalex.org/W2109002317","https://openalex.org/W2113271807","https://openalex.org/W2115525720","https://openalex.org/W2116029211","https://openalex.org/W2124858630","https://openalex.org/W2129533376","https://openalex.org/W2129585737","https://openalex.org/W2133670328","https://openalex.org/W2135541439","https://openalex.org/W2139023184","https://openalex.org/W2142134616","https://openalex.org/W2143927285","https://openalex.org/W2149397321","https://openalex.org/W2151525640","https://openalex.org/W2151795416","https://openalex.org/W2161410889","https://openalex.org/W2161473225","https://openalex.org/W2161872841","https://openalex.org/W2164497732","https://openalex.org/W2168124888","https://openalex.org/W2313299119","https://openalex.org/W2801179766","https://openalex.org/W3088269390","https://openalex.org/W4239651601"],"related_works":["https://openalex.org/W2116541631","https://openalex.org/W2167568384","https://openalex.org/W2514205366","https://openalex.org/W3173074004","https://openalex.org/W3087844490","https://openalex.org/W1976511355","https://openalex.org/W4220680272","https://openalex.org/W2088352174","https://openalex.org/W2544668827","https://openalex.org/W3090699061"],"abstract_inverted_index":{"Recently,":[0],"user":[1,37,54,76,106],"selection":[2,55,77,107],"algorithms":[3],"in":[4,57,96,139],"combination":[5],"with":[6,59,141],"linear":[7],"precoding":[8],"have":[9],"been":[10],"proposed":[11],"that":[12,73],"achieve":[13],"the":[14,18,22,48,51,82,112],"same":[15],"scaling":[16],"as":[17,81],"sum":[19],"capacity":[20],"of":[21,50,84,103,114,123,129],"MIMO":[23],"broadcast":[24],"channel.":[25],"Robust":[26],"opportunistic":[27,52,74,104],"beamforming,":[28],"which":[29],"only":[30,91,133],"requires":[31],"partial":[32],"channel":[33,144],"state":[34],"information":[35],"for":[36],"selection,":[38],"further":[39],"reduces":[40],"feedback":[41],"requirements.":[42],"In":[43],"this":[44],"work,":[45],"we":[46],"study":[47],"optimality":[49],"norm-based":[53,75,105],"system":[56],"conjunction":[58],"hard":[60],"SINR":[61],"requirements":[62],"under":[63],"max-min":[64],"fair":[65],"beamforming":[66],"transmit":[67,85,124],"power":[68],"minimization.":[69],"It":[70],"is":[71,78,108,137],"shown":[72],"asymptotically":[79],"optimal,":[80],"number":[83,113,122],"antennas":[86,125],"goes":[87,116],"to":[88,117],"infinity":[89],"when":[90,111],"two":[92],"users":[93,115,130],"are":[94,131],"selected":[95],"high":[97],"SNR":[98],"regime.":[99],"The":[100],"asymptotic":[101],"performance":[102,135],"also":[109],"studied":[110],"infinity.":[118],"When":[119],"a":[120],"limited":[121],"and/or":[126],"median":[127],"range":[128],"available,":[132],"insignificant":[134],"degradation":[136],"observed":[138],"simulations":[140],"an":[142],"ideal":[143],"model":[145],"or":[146],"based":[147],"on":[148],"measurement":[149],"data.":[150]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}