{"id":"https://openalex.org/W2912736635","doi":"https://doi.org/10.1109/tcomm.2019.2900676","title":"Simple Approximations of the SIR Meta Distribution in General Cellular Networks","display_name":"Simple Approximations of the SIR Meta Distribution in General Cellular Networks","publication_year":2019,"publication_date":"2019-02-21","ids":{"openalex":"https://openalex.org/W2912736635","doi":"https://doi.org/10.1109/tcomm.2019.2900676","mag":"2912736635"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2019.2900676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2019.2900676","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-02417353","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054727481","display_name":"Sanket S. Kalamkar","orcid":"https://orcid.org/0000-0002-3837-3908"},"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":"Sanket S. Kalamkar","raw_affiliation_strings":["University of Notre Dame, Notre Dame, IN, USA","DYOGENE - Dynamics of Geometric Networks (2 rue Simone Iff\r\nCS 42112\r\n75589 Paris Cedex 12 - France)"],"raw_orcid":"https://orcid.org/0000-0002-3837-3908","affiliations":[{"raw_affiliation_string":"University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"DYOGENE - Dynamics of Geometric Networks (2 rue Simone Iff\r\nCS 42112\r\n75589 Paris Cedex 12 - France)","institution_ids":[]}]},{"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":["Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","UND - University of Notre Dame [Indiana] (Notre Dame, Indiana 46556 - United States)"],"raw_orcid":"https://orcid.org/0000-0001-8547-0607","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"UND - University of Notre Dame [Indiana] (Notre Dame, Indiana 46556 - United States)","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":null,"apc_paid":null,"fwci":2.7406,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.90685604,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"67","issue":"6","first_page":"4393","last_page":"4406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9929999709129333,"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/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9929999709129333,"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/poisson-distribution","display_name":"Poisson distribution","score":0.7605019807815552},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.5568891167640686},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.520275890827179},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5050604939460754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45826205611228943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4533109962940216},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4523993730545044},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44727450609207153},{"id":"https://openalex.org/keywords/conditional-probability-distribution","display_name":"Conditional probability distribution","score":0.4296181797981262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4284307360649109},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38016122579574585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33874353766441345},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22911369800567627},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13822555541992188}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7605019807815552},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.5568891167640686},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.520275890827179},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5050604939460754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45826205611228943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4533109962940216},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4523993730545044},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44727450609207153},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.4296181797981262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4284307360649109},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38016122579574585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33874353766441345},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22911369800567627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13822555541992188},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcomm.2019.2900676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2019.2900676","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:HAL:hal-02417353v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02417353","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":"IEEE Transactions on Communications, 2019, 67 (6), pp.4393-4406. &#x27E8;10.1109/TCOMM.2019.2900676&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02417353v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02417353","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":"IEEE Transactions on Communications, 2019, 67 (6), pp.4393-4406. &#x27E8;10.1109/TCOMM.2019.2900676&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G692438369","display_name":null,"funder_award_id":"CCF 1525904","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":30,"referenced_works":["https://openalex.org/W631335369","https://openalex.org/W922358034","https://openalex.org/W1584905095","https://openalex.org/W1640283668","https://openalex.org/W1989097819","https://openalex.org/W2056581292","https://openalex.org/W2058477717","https://openalex.org/W2059973889","https://openalex.org/W2076773434","https://openalex.org/W2094040025","https://openalex.org/W2114207517","https://openalex.org/W2149170915","https://openalex.org/W2167353407","https://openalex.org/W2319406568","https://openalex.org/W2332082792","https://openalex.org/W2605261135","https://openalex.org/W2750003873","https://openalex.org/W2769047447","https://openalex.org/W2804209188","https://openalex.org/W2885217502","https://openalex.org/W2893955145","https://openalex.org/W2962780424","https://openalex.org/W2962815534","https://openalex.org/W2962926283","https://openalex.org/W2963121780","https://openalex.org/W2963262497","https://openalex.org/W2963320716","https://openalex.org/W2963552745","https://openalex.org/W2964267089","https://openalex.org/W3105072513"],"related_works":["https://openalex.org/W2225046392","https://openalex.org/W4298392797","https://openalex.org/W1939724041","https://openalex.org/W4252323550","https://openalex.org/W2065735671","https://openalex.org/W2557614388","https://openalex.org/W1979678609","https://openalex.org/W2834438054","https://openalex.org/W4235306759","https://openalex.org/W1988309847"],"abstract_inverted_index":{"Compared":[0],"to":[1,73,137,168],"the":[2,7,11,21,58,64,75,84,91,99,115,121,124,128,133,150,157,162,173,180,184,190,193,197,201],"standard":[3,59,109],"success":[4,60,110,130],"(coverage)":[5],"probability,":[6,61,131],"meta":[8,65,77,151,181,202],"distribution":[9,78,152,182],"of":[10,47,57,127,149,192,200],"signal-to-interference":[12],"ratio":[13],"(SIR)":[14],"provides":[15],"much":[16],"more":[17],"fine-grained":[18,198],"information":[19],"about":[20],"network":[22,49],"performance.":[23],"We":[24,96],"consider":[25],"general":[26,154],"heterogeneous":[27],"cellular":[28],"networks":[29,81],"(HCNs)":[30],"with":[31],"base":[32],"station":[33],"tiers":[34],"modeled":[35],"by":[36,160,177],"arbitrary":[37],"stationary":[38],"and":[39,112,171,196],"ergodic":[40],"non-Poisson":[41,48],"point":[42,93,117],"processes.":[43],"The":[44,139],"exact":[45],"analysis":[46,88],"models":[50],"is":[51],"notoriously":[52],"difficult,":[53],"even":[54],"in":[55],"terms":[56],"let":[62],"alone":[63],"distribution.":[66],"Hence,":[67],"we":[68],"propose":[69],"a":[70],"simple":[71,147],"approach":[72],"approximate":[74],"SIR":[76,87,134],"for":[79,114,153,183],"nonPoisson":[80],"based":[82,89],"on":[83,90],"ASAPPP":[85],"(\u201capproximate":[86],"Poisson":[92,116,187],"process\u201d)":[94],"method.":[95],"prove":[97],"that":[98,113],"asymptotic":[100],"horizontal":[101],"gap":[102,122,140],"G":[103,141,164],"<sub":[104,142,165],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[105,143,166],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[106,144,167],"between":[107,123],"its":[108],"probability":[111],"process":[118],"exactly":[119],"characterizes":[120],"bth":[125],"moment":[126],"conditional":[129],"as":[132],"threshold":[135],"goes":[136],"0.":[138],"allows":[145],"two":[146],"approximations":[148,205],"HCNs:":[155],"1)":[156],"per-tier":[158],"approximation":[159,176],"applying":[161],"shift":[163],"each":[169],"tier":[170],"2)":[172],"effective":[174],"gain":[175],"directly":[178],"shifting":[179],"homogeneous":[185],"independent":[186],"network.":[188],"Given":[189],"generality":[191],"model":[194],"considered":[195],"nature":[199],"distribution,":[203],"these":[204],"work":[206],"surprisingly":[207],"well.":[208]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":6}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
