{"id":"https://openalex.org/W2970862725","doi":"https://doi.org/10.1109/lwc.2019.2954316","title":"Downlink Analysis for the Typical Cell in Poisson Cellular Networks","display_name":"Downlink Analysis for the Typical Cell in Poisson Cellular Networks","publication_year":2019,"publication_date":"2019-11-19","ids":{"openalex":"https://openalex.org/W2970862725","doi":"https://doi.org/10.1109/lwc.2019.2954316","mag":"2970862725"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2019.2954316","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2019.2954316","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1908.10684","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084293922","display_name":"Praful D. Mankar","orcid":"https://orcid.org/0000-0003-2725-824X"},"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":"Praful D. Mankar","raw_affiliation_strings":["Wireless@VT, Virginia Tech, Blacksburg, USA","Department of ECE, Wireless@VT, Virginia Tech, Blacksburg, VA, USA#TAB#"],"raw_orcid":"https://orcid.org/0000-0003-2725-824X","affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of ECE, Wireless@VT, Virginia Tech, Blacksburg, VA, USA#TAB#","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079672415","display_name":"Priyabrata Parida","orcid":"https://orcid.org/0000-0002-4999-8639"},"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":"Priyabrata Parida","raw_affiliation_strings":["Wireless@VT, Virginia Tech, Blacksburg, USA","Department of ECE, Wireless@VT, Virginia Tech, Blacksburg, VA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of ECE, Wireless@VT, Virginia Tech, Blacksburg, VA, USA#TAB#","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","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, USA","Department of ECE, Wireless@VT, Virginia Tech, Blacksburg, VA, USA#TAB#"],"raw_orcid":"https://orcid.org/0000-0003-2829-9449","affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of ECE, Wireless@VT, Virginia Tech, Blacksburg, VA, USA#TAB#","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003896287","display_name":"Martin Haenggi","orcid":"https://orcid.org/0000-0001-8547-0607"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Haenggi","raw_affiliation_strings":["University of Notre Dame, Notre Dame, USA","Dept. of Electrical Engineering, Univ. of Notre Dame, Notre Dame, IN, USA"],"raw_orcid":"https://orcid.org/0000-0001-8547-0607","affiliations":[{"raw_affiliation_string":"University of Notre Dame, Notre Dame, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, Univ. of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07347831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"336","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9987999796867371,"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":0.9987999796867371,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9538000226020813,"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":0.9006160497665405},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.7442813515663147},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.703529953956604},{"id":"https://openalex.org/keywords/viewpoints","display_name":"Viewpoints","score":0.6863300204277039},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.6777837872505188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6371783018112183},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.6214437484741211},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5840350985527039},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.572307288646698},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5363086462020874},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5309312343597412},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.4865254759788513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4010290503501892},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3797028958797455},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3494260907173157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31973403692245483},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18842005729675293},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1281587779521942},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07416802644729614}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.9006160497665405},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.7442813515663147},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.703529953956604},{"id":"https://openalex.org/C2776035091","wikidata":"https://www.wikidata.org/wiki/Q7928819","display_name":"Viewpoints","level":2,"score":0.6863300204277039},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.6777837872505188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6371783018112183},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.6214437484741211},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5840350985527039},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.572307288646698},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5363086462020874},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5309312343597412},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.4865254759788513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4010290503501892},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3797028958797455},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3494260907173157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31973403692245483},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18842005729675293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1281587779521942},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07416802644729614},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lwc.2019.2954316","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2019.2954316","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1908.10684","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.10684","pdf_url":"https://arxiv.org/pdf/1908.10684","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":"","raw_type":"text"},{"id":"mag:2970862725","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1908.10684","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.1908.10684","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1908.10684","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1908.10684","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.10684","pdf_url":"https://arxiv.org/pdf/1908.10684","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7570832660","display_name":null,"funder_award_id":"ECCS-1731711","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W631335369","https://openalex.org/W2006166592","https://openalex.org/W2058403156","https://openalex.org/W2104557602","https://openalex.org/W2149170915","https://openalex.org/W2150166076","https://openalex.org/W2339070281","https://openalex.org/W2963262497","https://openalex.org/W2963985698","https://openalex.org/W3105072513","https://openalex.org/W6784120175"],"related_works":["https://openalex.org/W2979958451","https://openalex.org/W2905897096","https://openalex.org/W2017883801","https://openalex.org/W35067650","https://openalex.org/W2146175752","https://openalex.org/W3099344691","https://openalex.org/W2739866648","https://openalex.org/W2949622061","https://openalex.org/W2014277048","https://openalex.org/W2259564511","https://openalex.org/W2950171035","https://openalex.org/W2951270799","https://openalex.org/W2615289075","https://openalex.org/W2306371193","https://openalex.org/W2012117682","https://openalex.org/W2952768666","https://openalex.org/W2409268007","https://openalex.org/W2045791266","https://openalex.org/W2952371471","https://openalex.org/W1703640786"],"abstract_inverted_index":{"Owing":[0],"to":[1],"its":[2],"unparalleled":[3],"tractability,":[4],"the":[5,17,33,44,51,60,78,82,94,103,110,115],"Poisson":[6],"point":[7,25,37],"process":[8,26],"(PPP)":[9],"has":[10],"emerged":[11],"as":[12],"a":[13,23,70,74,98],"popular":[14],"model":[15],"for":[16,93,102],"analysis":[18,92],"of":[19,27,32,77,81],"cellular":[20],"networks.":[21],"Considering":[22],"stationary":[24],"users,":[28],"which":[29],"is":[30,40],"independent":[31],"base":[34],"station":[35],"(BS)":[36],"process,":[38],"it":[39],"well":[41],"known":[42],"that":[43,72],"typical":[45,52,61,83,121],"user":[46,119],"does":[47],"not":[48,57],"lie":[49],"in":[50,114],"cell":[53,62],"and":[54,97,112],"thus":[55],"may":[56],"truly":[58],"represent":[59],"performance.":[63],"Inspired":[64],"by":[65],"this":[66],"observation,":[67],"we":[68,87],"present":[69,88],"construction":[71],"allows":[73],"direct":[75],"characterization":[76],"downlink":[79,91],"performance":[80],"cell.":[84],"For":[85],"this,":[86],"an":[89],"exact":[90],"1-D":[95],"case":[96],"remarkably":[99],"accurate":[100],"approximation":[101],"2-D":[104],"case.":[105],"Several":[106],"useful":[107],"insights":[108],"about":[109],"differences":[111],"similarities":[113],"two":[116],"viewpoints":[117],"(typical":[118],"vs.":[120],"cell)":[122],"are":[123],"also":[124],"provided.":[125]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}