{"id":"https://openalex.org/W2610887098","doi":"https://doi.org/10.1109/tcomm.2017.2782741","title":"3GPP-Inspired HetNet Model Using Poisson Cluster Process: Sum-Product Functionals and Downlink Coverage","display_name":"3GPP-Inspired HetNet Model Using Poisson Cluster Process: Sum-Product Functionals and Downlink Coverage","publication_year":2017,"publication_date":"2017-12-12","ids":{"openalex":"https://openalex.org/W2610887098","doi":"https://doi.org/10.1109/tcomm.2017.2782741","mag":"2610887098"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2017.2782741","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2017.2782741","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1705.01699","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064067398","display_name":"Chiranjib Saha","orcid":"https://orcid.org/0000-0002-2409-9389"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chiranjib Saha","raw_affiliation_strings":["Wireless@VT, Virginia Tech, Blacksburg, VA, USA","Department of Electrical and Computer Engineering, Wireless@VT, Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Wireless@VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047607279","display_name":"Mehrnaz Afshang","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehrnaz Afshang","raw_affiliation_strings":["Wireless@VT, Virginia Tech, Blacksburg, VA, USA","Department of Electrical and Computer Engineering, Wireless@VT, Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Wireless@VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064063671","display_name":"Harpreet S. Dhillon","orcid":"https://orcid.org/0000-0003-2829-9449"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harpreet S. Dhillon","raw_affiliation_strings":["Wireless@VT, Virginia Tech, Blacksburg, VA, USA","Department of Electrical and Computer Engineering, Wireless@VT, Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Wireless@VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064067398"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":0.2921,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58403246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"66","issue":"5","first_page":"2219","last_page":"2234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9843000173568726,"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":0.9700999855995178,"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/3rd-generation-partnership-project-2","display_name":"3rd Generation Partnership Project 2","score":0.8416142463684082},{"id":"https://openalex.org/keywords/heterogeneous-network","display_name":"Heterogeneous network","score":0.8033130168914795},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.6650333404541016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6585791707038879},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.6182500720024109},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.5354336500167847},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.5282591581344604},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.507136344909668},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.45864230394363403},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2529568672180176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19148960709571838},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14619433879852295},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.1341131329536438},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.12269267439842224},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08355522155761719}],"concepts":[{"id":"https://openalex.org/C177782964","wikidata":"https://www.wikidata.org/wiki/Q229785","display_name":"3rd Generation Partnership Project 2","level":3,"score":0.8416142463684082},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.8033130168914795},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.6650333404541016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6585791707038879},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.6182500720024109},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.5354336500167847},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.5282591581344604},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.507136344909668},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.45864230394363403},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2529568672180176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19148960709571838},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14619433879852295},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.1341131329536438},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.12269267439842224},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08355522155761719}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tcomm.2017.2782741","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2017.2782741","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1705.01699","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.01699","pdf_url":"https://arxiv.org/pdf/1705.01699","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2610887098","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.01699.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1705.01699","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1705.01699","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1705.01699","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.01699","pdf_url":"https://arxiv.org/pdf/1705.01699","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G4916165662","display_name":null,"funder_award_id":"CCF-1464293","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G841269803","display_name":null,"funder_award_id":"CNS-1617896","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W122810517","https://openalex.org/W631335369","https://openalex.org/W1573068833","https://openalex.org/W1584905095","https://openalex.org/W1659111644","https://openalex.org/W1805951207","https://openalex.org/W1884504066","https://openalex.org/W1922696133","https://openalex.org/W1972727027","https://openalex.org/W1999037997","https://openalex.org/W2006763061","https://openalex.org/W2034420299","https://openalex.org/W2039688938","https://openalex.org/W2042916860","https://openalex.org/W2059973889","https://openalex.org/W2102171927","https://openalex.org/W2118166339","https://openalex.org/W2143252188","https://openalex.org/W2149170915","https://openalex.org/W2155860576","https://openalex.org/W2224070075","https://openalex.org/W2278683827","https://openalex.org/W2314232061","https://openalex.org/W2319406568","https://openalex.org/W2336650418","https://openalex.org/W2419972896","https://openalex.org/W2506992933","https://openalex.org/W2592549279","https://openalex.org/W2604568889","https://openalex.org/W2753271796","https://openalex.org/W2962879208","https://openalex.org/W2963041424","https://openalex.org/W2963121780","https://openalex.org/W2963368779","https://openalex.org/W2963749079","https://openalex.org/W2963988459","https://openalex.org/W3101445254","https://openalex.org/W3102806519","https://openalex.org/W3105072513","https://openalex.org/W3124012807","https://openalex.org/W4205134336","https://openalex.org/W6649883686"],"related_works":["https://openalex.org/W2951354383","https://openalex.org/W2903566951","https://openalex.org/W2506992933","https://openalex.org/W2420053854","https://openalex.org/W3041156132","https://openalex.org/W2982225443","https://openalex.org/W2952334673","https://openalex.org/W2339748476","https://openalex.org/W3168909954","https://openalex.org/W2883895956","https://openalex.org/W1605198231","https://openalex.org/W2319406568","https://openalex.org/W2949855079","https://openalex.org/W2275471511","https://openalex.org/W2744144294","https://openalex.org/W1573068833","https://openalex.org/W1584905095","https://openalex.org/W2906525553","https://openalex.org/W2069051426","https://openalex.org/W2997084270"],"abstract_inverted_index":{"The":[0],"growing":[1],"complexity":[2],"of":[3,12,61,68,133,138,176,190,210,230,253],"heterogeneous":[4],"cellular":[5],"networks":[6],"(HetNets)":[7],"has":[8,78],"necessitated":[9],"a":[10,131,143,177,208],"variety":[11],"user":[13,107,179,265],"and":[14,26,64,72,108,117,135,161,197,247,264],"base":[15],"station":[16],"(BS)":[17],"configurations":[18,261],"to":[19,51,102,221,234],"be":[20,186],"considered":[21,267],"for":[22,166,245,262],"realistic":[23],"performance":[24],"evaluation":[25],"system":[27],"design.":[28],"This":[29],"is":[30,98,118],"directly":[31],"reflected":[32],"in":[33,81,89,113,120,188,268],"the":[34,44,59,62,65,82,149,154,157,162,172,191,217,222,227,231,254,259],"HetNet":[35,96,115,224],"simulation":[36,53,122,159],"models":[37,160],"proposed":[38,218,255],"by":[39],"standardization":[40],"bodies,":[41],"such":[42],"as":[43,70,207,226],"3rd":[45],"Generation":[46],"Partnership":[47],"Project":[48],"(3GPP).":[49],"Complementary":[50],"these":[52],"models,":[54],"stochastic":[55],"geometry-based":[56],"approach,":[57],"modeling":[58,130],"locations":[60,110,266],"users,":[63],"K":[66],"tiers":[67,140],"BSs":[69],"independent":[71],"homogeneous":[73],"Poisson":[74,144],"point":[75,201],"processes":[76],"(PPPs),":[77],"gained":[79],"prominence":[80],"past":[83],"few":[84],"years.":[85],"Despite":[86],"its":[87,198],"success":[88],"revealing":[90],"useful":[91],"insights,":[92],"this":[93,125],"PPP-based":[94,163,223],"K-tier":[95],"model":[97,165,219,225,256],"not":[99],"rich":[100],"enough":[101],"capture":[103],"spatial":[104],"coupling":[105],"between":[106,156],"BS":[109,139,263],"that":[111,129,171,216],"exists":[112],"real-world":[114],"deployments":[116],"included":[119],"3GPP":[121,158,269],"models.":[123],"In":[124],"paper,":[126],"we":[127,237],"demonstrate":[128],"fraction":[132],"users":[134],"arbitrary":[136],"number":[137],"alternatively":[141],"with":[142],"cluster":[145,228,249],"process":[146],"(PCP)":[147],"captures":[148],"aforementioned":[150],"coupling,":[151],"thus":[152],"bridging":[153],"gap":[155],"analytic":[164],"HetNets.":[167],"We":[168,213],"further":[169],"show":[170,215],"downlink":[173],"coverage":[174],"probability":[175],"typical":[178],"under":[180],"maximum":[181],"signal-tointerference-ratio":[182],"(SIR)":[183],"association":[184],"can":[185],"expressed":[187],"terms":[189],"sum-product":[192],"functionals":[193],"over":[194],"PPP,":[195],"PCP,":[196],"associated":[199],"offspring":[200],"process,":[202],"which":[203],"are":[204],"all":[205],"characterized":[206],"part":[209],"our":[211,239],"analysis.":[212],"also":[214],"converges":[220],"size":[229],"PCPs":[232,244],"tends":[233],"infinity.":[235],"Finally,":[236],"specialize":[238],"analysis":[240],"based":[241],"on":[242],"general":[243],"Thomas":[246],"Mat\u00e9rn":[248],"processes.":[250],"Special":[251],"instances":[252],"closely":[257],"resemble":[258],"different":[260],"simulations.":[270]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
