{"id":"https://openalex.org/W2906941148","doi":"https://doi.org/10.1109/pimrc.2018.8580728","title":"The Meta Distribution of the SINR and Rate in Heterogeneous Cellular Networks","display_name":"The Meta Distribution of the SINR and Rate in Heterogeneous Cellular Networks","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2906941148","doi":"https://doi.org/10.1109/pimrc.2018.8580728","mag":"2906941148"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2018.8580728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2018.8580728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE 29th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5010826342","display_name":"Na Deng","orcid":"https://orcid.org/0000-0002-9565-559X"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Deng","raw_affiliation_strings":["School of Information & Communication Engineering, Dalian University of Technology, Dalian, Liaoning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information & Communication Engineering, Dalian University of Technology, Dalian, Liaoning, China","institution_ids":["https://openalex.org/I27357992"]}]},{"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":["Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9969000220298767,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9937000274658203,"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/computer-science","display_name":"Computer science","score":0.7830369472503662},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.6368398070335388},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.5860407948493958},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5659859776496887},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.5413662195205688},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.517435610294342},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.5153871774673462},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.4218074083328247},{"id":"https://openalex.org/keywords/heterogeneous-network","display_name":"Heterogeneous network","score":0.41587361693382263},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.402763694524765},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.31542885303497314},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1971472203731537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1806267499923706},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.15669575333595276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14063528180122375},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.13541561365127563},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10314813256263733}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7830369472503662},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.6368398070335388},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.5860407948493958},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5659859776496887},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.5413662195205688},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.517435610294342},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.5153871774673462},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.4218074083328247},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.41587361693382263},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.402763694524765},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.31542885303497314},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1971472203731537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1806267499923706},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.15669575333595276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14063528180122375},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.13541561365127563},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10314813256263733},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2018.8580728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2018.8580728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE 29th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W631335369","https://openalex.org/W1640283668","https://openalex.org/W1994080576","https://openalex.org/W2005108639","https://openalex.org/W2013366448","https://openalex.org/W2182484825","https://openalex.org/W2605261135","https://openalex.org/W2736208033","https://openalex.org/W2769047447","https://openalex.org/W2962926283","https://openalex.org/W2964168570"],"related_works":["https://openalex.org/W4362659870","https://openalex.org/W2952424632","https://openalex.org/W2758515006","https://openalex.org/W3008230090","https://openalex.org/W1871594675","https://openalex.org/W2558244751","https://openalex.org/W3088709419","https://openalex.org/W2900459794","https://openalex.org/W3130736413","https://openalex.org/W2796103031"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,83,144],"the":[4,8,55,63,74,84,127,133,140,146,156,163],"meta":[5,47,148],"distribution":[6,48,138],"of":[7,22,54,76,86,91,132,166],"signal-to-interference-plus-noise":[9],"ratio":[10],"(SINR)":[11],"and":[12,33,98,111,129,136],"rate":[13,137,164],"in":[14,176],"heterogeneous":[15],"cellular":[16],"networks":[17],"(HCNs)":[18],"with":[19,37,40,107,178],"multiple":[20],"tiers":[21,32],"base":[23],"stations,":[24],"where":[25],"disjoint":[26],"frequency":[27],"bands":[28],"are":[29,35,150],"allocated":[30],"among":[31],"users":[34,158,169],"associated":[36],"each":[38],"tier":[39],"a":[41,50,96,102],"biased":[42],"average":[43],"received":[44],"power.":[45],"The":[46],"provides":[49],"much":[51],"sharper":[52],"version":[53],"\u201cSINR/rate":[56],"performance\u201d":[57],"than":[58],"that":[59,154],"merely":[60],"considered":[61],"at":[62],"typical":[64],"user":[65,80],"through":[66],"spatial":[67],"averaging,":[68],"which":[69,145],"gives":[70],"deep":[71],"insight":[72],"into":[73],"impacts":[75],"heterogeneity,":[77],"resource":[78,109,180],"coordination,":[79],"association,":[81],"etc.,":[82],"performance":[85,165],"individual":[87,168],"users.":[88],"Using":[89],"tools":[90],"stochastic":[92],"geometry,":[93],"we":[94,115],"develop":[95],"general":[97],"tractable":[99],"framework":[100],"for":[101,105,126],"fine-grained":[103],"analysis":[104],"HCNs":[106],"joint":[108],"partitioning":[110],"offloading.":[112],"With":[113],"it,":[114],"derive":[116],"exact":[117,147],"analytical":[118],"expressions":[119],"as":[120,122],"well":[121],"their":[123],"asymptotic":[124],"behaviors":[125],"overall":[128],"per-tier":[130],"moments":[131],"conditional":[134],"SINR":[135,161],"given":[139],"point":[141],"processes,":[142],"based":[143],"distributions":[149],"given.":[151],"We":[152],"show":[153],"although":[155],"offloaded":[157],"suffer":[159],"from":[160],"degradation,":[162],"all":[167],"can":[170],"be":[171],"improved":[172],"via":[173],"load":[174],"balancing":[175],"conjunction":[177],"appropriate":[179],"partitioning.":[181]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
