{"id":"https://openalex.org/W2078471881","doi":"https://doi.org/10.1109/glocom.2012.6503829","title":"Optimal 3D cell planning: A random matrix approach","display_name":"Optimal 3D cell planning: A random matrix approach","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2078471881","doi":"https://doi.org/10.1109/glocom.2012.6503829","mag":"2078471881"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2012.6503829","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2012.6503829","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-00771220","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063297704","display_name":"Axel M\u00fcller","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]},{"id":"https://openalex.org/I4210158342","display_name":"Intel (United Kingdom)","ror":"https://ror.org/058cxws58","country_code":"GB","type":"company","lineage":["https://openalex.org/I1343180700","https://openalex.org/I4210158342"]}],"countries":["DE","FR","GB"],"is_corresponding":false,"raw_author_name":"Axel M\u00fcller","raw_affiliation_strings":["Intel Mobile Communications, Sophia Antipolis, France","Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec","Intel Mobile Communications"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intel Mobile Communications, Sophia Antipolis, France","institution_ids":[]},{"raw_affiliation_string":"Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1322087612"]},{"raw_affiliation_string":"Intel Mobile Communications","institution_ids":["https://openalex.org/I4210158342"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074728359","display_name":"Jakob Hoydis","orcid":"https://orcid.org/0000-0002-0438-967X"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]},{"id":"https://openalex.org/I176714629","display_name":"Bell (Canada)","ror":"https://ror.org/00xdg8m59","country_code":"CA","type":"company","lineage":["https://openalex.org/I176714629"]}],"countries":["CA","DE"],"is_corresponding":false,"raw_author_name":"Jakob Hoydis","raw_affiliation_strings":["Bells Labs, Alcatel-Lucent, Stuttgart, Germany","Bell Labs"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bells Labs, Alcatel-Lucent, Stuttgart, Germany","institution_ids":["https://openalex.org/I1322087612"]},{"raw_affiliation_string":"Bell Labs","institution_ids":["https://openalex.org/I176714629"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021257434","display_name":"Romain Couillet","orcid":"https://orcid.org/0000-0001-5755-2090"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210095736","display_name":"Laboratoire d'\u00c9lectronique, Antennes et T\u00e9l\u00e9communications","ror":"https://ror.org/00ah32k04","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210095736","https://openalex.org/I4210095849"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Romain Couillet","raw_affiliation_strings":["Department of Telecommunications, Supélec, France","Sup\u00e9lec Sciences des Syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Telecommunications, Supélec, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I4210095736"]},{"raw_affiliation_string":"Sup\u00e9lec Sciences des Syst\u00e8mes","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056145687","display_name":"M\u00e9rouane Debbah","orcid":"https://orcid.org/0000-0001-8941-8080"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"M\u00e9rouane cDebbah","raw_affiliation_strings":["Alcatel-Lucent Chair on Flexible Radio, Supélec, France","Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alcatel-Lucent Chair on Flexible Radio, Supélec, France","institution_ids":["https://openalex.org/I1322087612"]},{"raw_affiliation_string":"Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1322087612"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4512","last_page":"4517"},"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":0.9997000098228455,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.8022136688232422},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6789997220039368},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.6606636643409729},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6560004353523254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6158730387687683},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.5672479867935181},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.51448655128479},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.5142521262168884},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.507178544998169},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.48802271485328674},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4804672598838806},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4733804762363434},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4677208960056305},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.4388641119003296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3075438439846039},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.21389564871788025},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20932191610336304},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14395222067832947},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.14248120784759521},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13925066590309143},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1279982626438141},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11645108461380005},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10173898935317993}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.8022136688232422},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6789997220039368},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.6606636643409729},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6560004353523254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6158730387687683},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.5672479867935181},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.51448655128479},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.5142521262168884},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.507178544998169},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.48802271485328674},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4804672598838806},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4733804762363434},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4677208960056305},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.4388641119003296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3075438439846039},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.21389564871788025},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20932191610336304},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14395222067832947},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.14248120784759521},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13925066590309143},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1279982626438141},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11645108461380005},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10173898935317993},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/glocom.2012.6503829","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2012.6503829","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00771220v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00771220","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM), Dec 2012, Anaheim, California, United States. ⟨10.1109/GLOCOM.2012.6503829⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00771220v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00771220","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM), Dec 2012, Anaheim, California, United States. ⟨10.1109/GLOCOM.2012.6503829⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W615589970","https://openalex.org/W1483169788","https://openalex.org/W1573528248","https://openalex.org/W2015842532","https://openalex.org/W2031007827","https://openalex.org/W2086323639","https://openalex.org/W2101121986","https://openalex.org/W2137206790","https://openalex.org/W2158761168","https://openalex.org/W2158979704","https://openalex.org/W2162636480","https://openalex.org/W3103692684","https://openalex.org/W6634129432"],"related_works":["https://openalex.org/W2906618418","https://openalex.org/W790449367","https://openalex.org/W4386850052","https://openalex.org/W2275459886","https://openalex.org/W2963076731","https://openalex.org/W2249083530","https://openalex.org/W2604524836","https://openalex.org/W4298214884","https://openalex.org/W1482197907","https://openalex.org/W2786893525"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"a":[3,63,137],"large":[4,64],"system":[5,21,86],"approximation":[6,54,91],"of":[7,25,30,62,66,102,132,139],"the":[8,51,59,73,79,100,129],"ergodic":[9],"sum-rate":[10],"(SR)":[11],"for":[12,84],"cellular":[13,133],"multi-user":[14],"multiple-input":[15],"multiple-output":[16],"uplink":[17],"systems.":[18],"The":[19,53],"considered":[20],"has":[22],"various":[23],"degrees":[24],"freedom,":[26],"such":[27],"as":[28],"clusters":[29],"base":[31],"stations":[32],"(BSs)":[33],"performing":[34],"cooperative":[35],"multi-point":[36],"processing,":[37],"randomly":[38],"distributed":[39],"user":[40],"terminals":[41],"(UTs),":[42],"and":[43,70,98,123],"supports":[44],"arbitrarily":[45],"configurable":[46],"antenna":[47,68,103],"gain":[48],"patterns":[49],"at":[50,72],"BSs.":[52,74],"is":[55,82,93],"provably":[56],"tight":[57],"in":[58,105],"limiting":[60],"case":[61],"number":[65],"single":[67],"UTs":[69],"antennas":[71],"Simulation":[75],"results":[76],"suggest":[77],"that":[78],"asymptotic":[80],"analysis":[81],"accurate":[83],"small":[85,110],"dimensions.":[87],"Our":[88],"deterministic":[89],"SR":[90,115],"result":[92],"applied":[94],"to":[95],"numerically":[96],"study":[97],"optimize":[99],"effects":[101],"tilting":[104],"an":[106],"exemplary":[107],"sectorized":[108],"3D":[109],"cell":[111],"network":[112],"topology.":[113],"Significant":[114],"gains":[116],"are":[117],"observed":[118],"with":[119,136],"optimal":[120,130],"tilt":[121],"angles":[122],"we":[124],"provide":[125],"new":[126],"insights":[127],"on":[128],"parameterization":[131],"networks,":[134],"along":[135],"discussion":[138],"several":[140],"non-trivial":[141],"effects.":[142]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-25T15:57:00.446498","created_date":"2025-10-10T00:00:00"}