{"id":"https://openalex.org/W2241792113","doi":"https://doi.org/10.1109/twc.2015.2476465","title":"Spatial Distribution of the SINR in Poisson Cellular Networks With Sector Antennas","display_name":"Spatial Distribution of the SINR in Poisson Cellular Networks With Sector Antennas","publication_year":2015,"publication_date":"2015-09-04","ids":{"openalex":"https://openalex.org/W2241792113","doi":"https://doi.org/10.1109/twc.2015.2476465","mag":"2241792113"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2015.2476465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2015.2476465","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},"type":"preprint","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/A5028666798","display_name":"Bart\u0142omiej B\u0142aszczyszyn","orcid":"https://orcid.org/0000-0001-6096-4109"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bartlomiej Blaszczyszyn","raw_affiliation_strings":["Inria-ENS, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria-ENS, Paris, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101931381","display_name":"Mohamed Kadhem Karray","orcid":"https://orcid.org/0000-0002-0595-0879"},"institutions":[{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Kadhem Karray","raw_affiliation_strings":["Orange Labs, Issy-les-Moulineaux, France"],"raw_orcid":"https://orcid.org/0000-0002-0595-0879","affiliations":[{"raw_affiliation_string":"Orange Labs, Issy-les-Moulineaux, France","institution_ids":["https://openalex.org/I19370010"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2092,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89166049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"1","first_page":"581","last_page":"593"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/T11499","display_name":"ICT Impact and Policies","score":0.9785000085830688,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9768000245094299,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6470497846603394},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.6090346574783325},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.5929888486862183},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5321140885353088},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.501793622970581},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.48935049772262573},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.45540767908096313},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.45096898078918457},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.42876961827278137},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.4132785201072693},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40177881717681885},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3714750111103058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2789897918701172},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2752065658569336},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16844135522842407},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10165810585021973}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6470497846603394},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.6090346574783325},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.5929888486862183},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5321140885353088},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.501793622970581},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.48935049772262573},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.45540767908096313},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.45096898078918457},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.42876961827278137},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.4132785201072693},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40177881717681885},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3714750111103058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2789897918701172},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2752065658569336},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16844135522842407},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10165810585021973},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2015.2476465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2015.2476465","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01215566v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01215566","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Wireless Communications, 2016, 15 (1), pp.581 - 593. &#x27E8;10.1109/TWC.2015.2476465&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1977905728","https://openalex.org/W1999037997","https://openalex.org/W2005171207","https://openalex.org/W2007089224","https://openalex.org/W2056581292","https://openalex.org/W2059973889","https://openalex.org/W2086698267","https://openalex.org/W2104557602","https://openalex.org/W2122658093","https://openalex.org/W2128811167","https://openalex.org/W2149170915","https://openalex.org/W2150166076","https://openalex.org/W2158581494","https://openalex.org/W2167353407","https://openalex.org/W2293508925","https://openalex.org/W2607352028","https://openalex.org/W2801179766","https://openalex.org/W2987779866","https://openalex.org/W3105072513","https://openalex.org/W6736492061","https://openalex.org/W7045409387"],"related_works":["https://openalex.org/W2624272231","https://openalex.org/W2883651331","https://openalex.org/W2944404691","https://openalex.org/W784349657","https://openalex.org/W2017282549","https://openalex.org/W3196246556","https://openalex.org/W2787833841","https://openalex.org/W1607049962","https://openalex.org/W1524411820","https://openalex.org/W4210295422"],"abstract_inverted_index":{"A":[0],"model":[1,28,92],"of":[2,34,54,60,70,80,84,87,113,126,134,155,159,179],"cellular":[3],"networks":[4],"where":[5,117],"the":[6,31,35,40,52,58,81,85,111,124,127,132,135,146,152,160,171,176],"base":[7,17],"station":[8,18],"locations":[9],"constitute":[10],"a":[11],"Poisson":[12],"point":[13],"process":[14],"and":[15],"each":[16],"is":[19,25,46,63,89,93,106,119],"equipped":[20],"with":[21,142],"three":[22],"sectorial":[23],"antennas":[24],"proposed.":[26],"This":[27,163],"permits":[29,149,164],"studying":[30],"spatial":[32],"distribution":[33,45,53,133,148],"signal-to-interference-and-noise":[36],"ratio":[37],"(SINR)":[38],"in":[39,101,110,165],"downlink.":[41],"In":[42],"particular,":[43],"this":[44],"shown":[47,64],"to":[48,51,65,68,99,150,167,169,174],"be":[49,66],"insensitive":[50],"antenna":[55,75],"azimuths.":[56],"Moreover,":[57],"effect":[59,125],"horizontal":[61],"sectorization":[62,129],"equivalent":[67],"that":[69],"shadowing.":[71],"Assuming":[72],"ideal":[73],"vertical":[74,128],"pattern,":[76],"an":[77,102],"explicit":[78],"expression":[79],"Laplace":[82],"transform":[83],"inverse":[86],"SINR":[88],"given.":[90],"The":[91],"validated":[94],"by":[95],"comparing":[96],"its":[97],"results":[98],"measurements":[100],"operational":[103],"network.":[104],"It":[105],"observed":[107],"numerically":[108],"that,":[109],"case":[112],"dense":[114],"urban":[115],"regions":[116],"interference":[118],"preponderant,":[120],"one":[121],"may":[122],"neglect":[123],"when":[130],"calculating":[131],"SINR,":[136],"which":[137],"provides":[138],"considerable":[139],"tractability.":[140],"Combined":[141],"queuing":[143],"theory":[144],"results,":[145],"SINR's":[147],"express":[151],"user's":[153],"quality":[154],"service":[156],"as":[157],"function":[158],"traffic":[161,180],"demand.":[162,181],"particular":[166],"operators":[168],"predict":[170],"required":[172],"investments":[173],"face":[175],"continual":[177],"increase":[178]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
