{"id":"https://openalex.org/W3099823693","doi":null,"title":"Stochastic Geometry Modeling and Analysis of Multi-Tier Millimeter Wave Cellular Networks","display_name":"Stochastic Geometry Modeling and Analysis of Multi-Tier Millimeter Wave Cellular Networks","publication_year":2016,"publication_date":"2016-08-14","ids":{"openalex":"https://openalex.org/W3099823693","mag":"3099823693"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.744.6995","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.744.6995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1410.3577.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"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/A5081612175","display_name":"Marco Di Renzo","orcid":"https://orcid.org/0000-0003-0772-8793","observed_orcids":["https://orcid.org/0000-0003-0772-8793"]},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marco Di Renzo","raw_affiliation_strings":["L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":null,"display_name":"Senior Member","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Senior Member","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081612175"],"corresponding_institution_ids":["https://openalex.org/I4210097418"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":357,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9994999766349792,"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/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9994999766349792,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":9.999999747378752e-05,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/millimeter-wave-cellular-networks","display_name":"millimeter-wave cellular networks","score":0.9860000014305115},{"id":"https://openalex.org/keywords/multi-tier-networks","display_name":"multi-tier networks","score":0.8009999990463257},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"stochastic geometry","score":0.7879999876022339},{"id":"https://openalex.org/keywords/path-loss-model","display_name":"path loss model","score":0.7670000195503235},{"id":"https://openalex.org/keywords/line-of-sight-and-non-line-of-sight-propagation","display_name":"line-of-sight and non-line-of-sight propagation","score":0.875},{"id":"https://openalex.org/keywords/outages","display_name":"outages","score":0.5559999942779541},{"id":"https://openalex.org/keywords/coverage-probability","display_name":"coverage probability","score":0.8870000243186951},{"id":"https://openalex.org/keywords/average-rate","display_name":"average rate","score":0.9629999995231628},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.9459999799728394},{"id":"https://openalex.org/keywords/cell-association","display_name":"cell association","score":0.9710000157356262},{"id":"https://openalex.org/keywords/network-density","display_name":"network density","score":0.6179999709129333}],"concepts":[{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.779121994972229},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6709978580474854},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.6477435827255249},{"id":"https://openalex.org/C194273485","wikidata":"https://www.wikidata.org/wiki/Q1478845","display_name":"Path loss","level":3,"score":0.6354137659072876},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.5728835463523865},{"id":"https://openalex.org/C45764600","wikidata":"https://www.wikidata.org/wiki/Q570342","display_name":"Extremely high frequency","level":2,"score":0.5628031492233276},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.5557314157485962},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.5370662808418274},{"id":"https://openalex.org/C27819379","wikidata":"https://www.wikidata.org/wiki/Q17166031","display_name":"Stochastic geometry models of wireless networks","level":5,"score":0.5067651867866516},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.48749399185180664},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4268861413002014},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.41993412375450134},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.41875725984573364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.416983962059021},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39553678035736084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36754027009010315},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.34644800424575806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24262544512748718},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.22537532448768616},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.1916588842868805},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11351948976516724},{"id":"https://openalex.org/C182448111","wikidata":"https://www.wikidata.org/wiki/Q7281197","display_name":"Radio resource management","level":4,"score":0.09950840473175049},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.744.6995","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.744.6995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1410.3577.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1883610247","https://openalex.org/W1953553238","https://openalex.org/W1990810841","https://openalex.org/W1991056455","https://openalex.org/W1996160600","https://openalex.org/W1998856681","https://openalex.org/W1999037997","https://openalex.org/W1999153524","https://openalex.org/W1999509241","https://openalex.org/W2009447832","https://openalex.org/W2010043948","https://openalex.org/W2011704110","https://openalex.org/W2031858701","https://openalex.org/W2032712938","https://openalex.org/W2039688938","https://openalex.org/W2048609240","https://openalex.org/W2053785134","https://openalex.org/W2062057453","https://openalex.org/W2073252511","https://openalex.org/W2080761305","https://openalex.org/W2085754511","https://openalex.org/W2104557602","https://openalex.org/W2116334496","https://openalex.org/W2138020668","https://openalex.org/W2150166076","https://openalex.org/W2297615509","https://openalex.org/W2407786019","https://openalex.org/W2546138393","https://openalex.org/W2546363041","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W1548515458","https://openalex.org/W2764270348","https://openalex.org/W2540877582","https://openalex.org/W2031858701","https://openalex.org/W1974070921","https://openalex.org/W2890765637","https://openalex.org/W2883571210","https://openalex.org/W2610474334","https://openalex.org/W1989014891","https://openalex.org/W2796103031"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,58,80,88],"new":[4],"mathematical":[5,141],"framework":[6,142],"to":[7,131,145],"the":[8,49,62,71,74,110,114,120,126,151,156],"analysis":[9],"of":[10,42,61,65,73,79,122,184,193],"millimeter":[11,66,93,178],"wave":[12,67,94,179,187],"cellular":[13,169,180,188],"networks":[14,181],"is":[15,129,143],"introduced.":[16],"Its":[17],"peculiarity":[18],"lies":[19],"in":[20,191],"considering":[21],"realistic":[22],"path-loss":[23,36,153],"and":[24,44,48,84,98,105,113,154,166,196],"blockage":[25,50],"models,":[26],"which":[27],"are":[28,117,182],"derived":[29],"from":[30],"recently":[31],"reported":[32],"experimental":[33],"data.":[34],"The":[35,139],"model":[37,51],"accounts":[38,161],"for":[39,91,108,135,162,167],"different":[40],"distributions":[41],"line-of-sight":[43],"non-line-of-sight":[45],"propagation":[46],"conditions":[47],"includes":[52],"an":[53],"outage":[54,63],"state":[55],"that":[56,175],"provides":[57],"better":[59],"representation":[60],"possibilities":[64],"communications.":[68],"By":[69],"modeling":[70],"locations":[72],"base":[75],"stations":[76],"as":[77,101,103],"points":[78],"Poisson":[81],"point":[82],"process":[83],"by":[85],"relying":[86],"on":[87,150,155],"noise-limited":[89,127],"approximation":[90,128],"typical":[92,136],"network":[95,137,170],"deployments,":[96],"simple":[97],"exact":[99],"integral":[100],"well":[102],"approximated":[104],"closed-form":[106],"formulas":[107],"computing":[109],"coverage":[111,194],"probability":[112,195],"average":[115,197],"rate":[116],"obtained.":[118],"With":[119],"aid":[121],"Monte":[123],"Carlo":[124],"simulations,":[125],"shown":[130],"be":[132],"sufficiently":[133,176],"accurate":[134],"densities.":[138],"proposed":[140],"applicable":[144],"cell":[146],"association":[147],"criteria":[148],"based":[149],"smallest":[152],"highest":[157],"received":[158],"power.":[159],"It":[160],"beamforming":[163],"alignment":[164],"errors":[165],"multi-tier":[168],"deployments.":[171],"Numerical":[172],"results":[173],"confirm":[174],"dense":[177],"capable":[183],"outperforming":[185],"micro":[186],"networks,":[189],"both":[190],"terms":[192],"rate.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":21},{"year":2022,"cited_by_count":34},{"year":2021,"cited_by_count":42},{"year":2020,"cited_by_count":36},{"year":2019,"cited_by_count":61},{"year":2018,"cited_by_count":57},{"year":2017,"cited_by_count":47},{"year":2016,"cited_by_count":30},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-11-23T00:00:00"}