{"id":"https://openalex.org/W2008364132","doi":"https://doi.org/10.1109/pimrcw.2013.6707855","title":"Equivalence and comparison of heterogeneous cellular networks","display_name":"Equivalence and comparison of heterogeneous cellular networks","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W2008364132","doi":"https://doi.org/10.1109/pimrcw.2013.6707855","mag":"2008364132"},"language":"en","primary_location":{"id":"doi:10.1109/pimrcw.2013.6707855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrcw.2013.6707855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 24th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC Workshops)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1306.0772","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028666798","display_name":"Bart\u0142omiej B\u0142aszczyszyn","orcid":"https://orcid.org/0000-0001-6096-4109"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Blaszczyszyn","raw_affiliation_strings":["INRIA \u2013 Rocquencourt#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA \u2013 Rocquencourt#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033480448","display_name":"Paul Keeler","orcid":"https://orcid.org/0000-0002-2063-1075"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. P. Keeler","raw_affiliation_strings":["Inria/ENS 23 av. d'Italie, Paris, France","INRIA \u2013 Rocquencourt#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria/ENS 23 av. d'Italie, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA \u2013 Rocquencourt#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.6015,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.98372115,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"153","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9987000226974487,"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":0.9976000189781189,"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/path-loss","display_name":"Path loss","score":0.7404447793960571},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6280251741409302},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5972025990486145},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.5326245427131653},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5297696590423584},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.4911310374736786},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4508039355278015},{"id":"https://openalex.org/keywords/log-distance-path-loss-model","display_name":"Log-distance path loss model","score":0.43007606267929077},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.42890745401382446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3928285241127014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39142799377441406},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3683564364910126},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.340065598487854},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.23271381855010986},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20369359850883484},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09613993763923645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0933249294757843},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08333095908164978}],"concepts":[{"id":"https://openalex.org/C194273485","wikidata":"https://www.wikidata.org/wiki/Q1478845","display_name":"Path loss","level":3,"score":0.7404447793960571},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6280251741409302},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5972025990486145},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.5326245427131653},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5297696590423584},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.4911310374736786},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4508039355278015},{"id":"https://openalex.org/C97316775","wikidata":"https://www.wikidata.org/wiki/Q3575778","display_name":"Log-distance path loss model","level":4,"score":0.43007606267929077},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.42890745401382446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3928285241127014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39142799377441406},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3683564364910126},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.340065598487854},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.23271381855010986},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20369359850883484},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09613993763923645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0933249294757843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08333095908164978},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/pimrcw.2013.6707855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrcw.2013.6707855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 24th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC Workshops)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1306.0772","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.0772","pdf_url":"https://arxiv.org/pdf/1306.0772","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":"pmh:oai:CiteSeerX.psu:10.1.1.372.3889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.3889","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/84/93/02/PDF/NetworkEquivalence07.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00830098v3","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00830098","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":"The 6th International WDN Workshop on Cooperative and Heterogeneous Cellular Networks (WDN-CN2013), Sep 2013, London, United Kingdom. ⟨10.1109/PIMRCW.2013.6707855⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1306.0772","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.0772","pdf_url":"https://arxiv.org/pdf/1306.0772","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W22878335","https://openalex.org/W635250944","https://openalex.org/W1977905728","https://openalex.org/W1988334478","https://openalex.org/W1999037997","https://openalex.org/W2018182850","https://openalex.org/W2021051891","https://openalex.org/W2027879926","https://openalex.org/W2034420299","https://openalex.org/W2043180800","https://openalex.org/W2049496443","https://openalex.org/W2059973889","https://openalex.org/W2104557602","https://openalex.org/W2117035673","https://openalex.org/W2149170915","https://openalex.org/W2150166076","https://openalex.org/W3101445254","https://openalex.org/W3103707284","https://openalex.org/W3105072513","https://openalex.org/W4206545993","https://openalex.org/W4235042061"],"related_works":["https://openalex.org/W2578999646","https://openalex.org/W2004117546","https://openalex.org/W3088968802","https://openalex.org/W1526056977","https://openalex.org/W2098935768","https://openalex.org/W1584982003","https://openalex.org/W2377748771","https://openalex.org/W2034952598","https://openalex.org/W2117413196","https://openalex.org/W2067457842"],"abstract_inverted_index":{"We":[0,44,204],"consider":[1],"a":[2,105,114,162,171,184],"general":[3,9],"heterogeneous":[4,90],"network":[5,152],"in":[6],"which,":[7],"besides":[8],"propagation":[10,67,121,190,202],"effects":[11],"(shadowing":[12],"and/or":[13],"fading),":[14],"individual":[15],"base":[16,140],"stations":[17,49],"can":[18,97,110],"have":[19,51],"different":[20,27,89,151],"emitting":[21],"powers":[22],"and":[23,35,201,207,213],"be":[24,98,111],"subject":[25],"to":[26,128,146,170,209],"parameters":[28,53,122],"of":[29,69,103,137,150,161,174,178,197],"Hata-like":[30],"path-loss":[31,124,164,220],"models":[32,153],"(path-loss":[33],"exponent":[34],"constant)":[36],"due":[37],"to,":[38],"for":[39,55],"example,":[40,56],"varying":[41,52,120],"antenna":[42,83],"heights.":[43],"assume":[45],"also":[46],"that":[47,87,188],"the":[48,57,66,73,81,101,118,131,135,159,166,175,179,189,198],"may":[50],"of,":[54],"link":[58],"layer":[59],"performance":[60],"(SINR":[61],"threshold,":[62],"etc).":[63],"By":[64],"studying":[65],"processes":[68,96,191],"signals":[70],"received":[71],"by":[72,80],"typical":[74,106],"user":[75],"from":[76,100],"all":[77,117],"antennas":[78],"marked":[79],"corresponding":[82],"parameters,":[84],"we":[85],"show":[86],"seemingly":[88],"networks":[91],"based":[92],"on":[93,194],"Poisson":[94],"point":[95,102],"equivalent":[99],"view":[104],"user.":[107],"These":[108],"neworks":[109],"replaced":[112],"with":[113],"model":[115],"where":[116],"previously":[119],"(including":[123],"exponents)":[125],"are":[126],"set":[127],"constants":[129],"while":[130],"only":[132,192],"trade-off":[133],"being":[134],"introduction":[136],"an":[138,215],"isotropic":[139,156,167],"station":[141],"density.":[142],"This":[143],"allows":[144],"one":[145,195],"perform":[147],"analytic":[148],"comparisons":[149],"via":[154],"their":[155],"representations.":[157],"In":[158],"case":[160],"constant":[163,176],"exponent,":[165],"representation":[168],"simplifies":[169],"homogeneous":[172],"modification":[173],"intensity":[177],"original":[180],"network,":[181],"thus":[182],"generalizing":[183],"previous":[185],"result":[186],"showing":[187],"depend":[193],"moment":[196],"emitted":[199],"power":[200],"effects.":[203],"give":[205],"examples":[206],"applications":[208],"motivate":[210],"these":[211],"results":[212],"highlight":[214],"interesting":[216],"observation":[217],"regarding":[218],"random":[219],"exponents.":[221]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}