{"id":"https://openalex.org/W2132330640","doi":"https://doi.org/10.1109/glocom.2010.5684228","title":"Phase Transition Diagram for Underlay Heterogeneous Cognitive Radio Networks","display_name":"Phase Transition Diagram for Underlay Heterogeneous Cognitive Radio Networks","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2132330640","doi":"https://doi.org/10.1109/glocom.2010.5684228","mag":"2132330640"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2010.5684228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2010.5684228","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Global Telecommunications Conference GLOBECOM 2010","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/A5049164111","display_name":"Weng Chon Ao","orcid":"https://orcid.org/0000-0002-4570-3688"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Weng Chon Ao","raw_affiliation_strings":["Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","[Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"[Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan]","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040420733","display_name":"Shin\u2010Ming Cheng","orcid":"https://orcid.org/0000-0002-9796-0643"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shin-Ming Cheng","raw_affiliation_strings":["Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","[Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"[Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan]","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022325942","display_name":"Kwang\u2010Cheng Chen","orcid":"https://orcid.org/0000-0002-1024-6106"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kwang-Cheng Chen","raw_affiliation_strings":["Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","[Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"[Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan]","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"27","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9997000098228455,"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/underlay","display_name":"Underlay","score":0.8050380945205688},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.7010077238082886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6447141170501709},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.6161083579063416},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5746337175369263},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5164199471473694},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.5061425566673279},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.48487457633018494},{"id":"https://openalex.org/keywords/wireless-ad-hoc-network","display_name":"Wireless ad hoc network","score":0.4757768213748932},{"id":"https://openalex.org/keywords/percolation-theory","display_name":"Percolation theory","score":0.4291518032550812},{"id":"https://openalex.org/keywords/cognitive-network","display_name":"Cognitive network","score":0.4177216589450836},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3789035975933075},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2872585356235504},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.18657758831977844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1764497458934784},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1669776439666748},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.13837626576423645},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.13531944155693054}],"concepts":[{"id":"https://openalex.org/C2777679929","wikidata":"https://www.wikidata.org/wiki/Q7883709","display_name":"Underlay","level":3,"score":0.8050380945205688},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.7010077238082886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6447141170501709},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.6161083579063416},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5746337175369263},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5164199471473694},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.5061425566673279},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.48487457633018494},{"id":"https://openalex.org/C94523657","wikidata":"https://www.wikidata.org/wiki/Q4085781","display_name":"Wireless ad hoc network","level":3,"score":0.4757768213748932},{"id":"https://openalex.org/C11557063","wikidata":"https://www.wikidata.org/wiki/Q900918","display_name":"Percolation theory","level":3,"score":0.4291518032550812},{"id":"https://openalex.org/C32542511","wikidata":"https://www.wikidata.org/wiki/Q5141225","display_name":"Cognitive network","level":4,"score":0.4177216589450836},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3789035975933075},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2872585356235504},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.18657758831977844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1764497458934784},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1669776439666748},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.13837626576423645},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.13531944155693054},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/glocom.2010.5684228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2010.5684228","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Global Telecommunications Conference GLOBECOM 2010","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W617886523","https://openalex.org/W1987876366","https://openalex.org/W2095796369","https://openalex.org/W2102465185","https://openalex.org/W2115094114","https://openalex.org/W2117594747","https://openalex.org/W2132987440","https://openalex.org/W2135248699","https://openalex.org/W2137079066","https://openalex.org/W2139956786","https://openalex.org/W2147457379","https://openalex.org/W2149165606","https://openalex.org/W2155276741","https://openalex.org/W2950280529","https://openalex.org/W3103727043","https://openalex.org/W6647475310","https://openalex.org/W6677205982","https://openalex.org/W6857808910"],"related_works":["https://openalex.org/W2169642774","https://openalex.org/W2556201531","https://openalex.org/W2053474224","https://openalex.org/W2277261328","https://openalex.org/W2167656028","https://openalex.org/W2610471112","https://openalex.org/W2787244021","https://openalex.org/W2340059876","https://openalex.org/W2532161418","https://openalex.org/W2769590643"],"abstract_inverted_index":{"Characterizing":[0],"the":[1,24,35,64,74,84,118,122,131,136],"topology":[2],"and":[3,30,48,121,154],"therefore":[4,158],"fundamental":[5],"limits":[6],"is":[7,67,111,128,152],"a":[8,54,79,88,114],"must":[9],"to":[10,92,95],"establish":[11],"effective":[12],"end-to-end":[13],"cognitive":[14,137],"radio":[15],"networking":[16],"(CRN).":[17],"However,":[18],"there":[19],"lacks":[20],"complete":[21],"understanding":[22],"of":[23,34,57,108,124,139,143],"relationship":[25],"among":[26],"connectivity,":[27],"interference,":[28],"latency":[29],"other":[31],"system":[32],"parameters":[33],"CRN.":[36],"To":[37],"clarify":[38],"this":[39],"complication,":[40],"by":[41,101,113,130],"employing":[42],"tools":[43],"from":[44],"both":[45],"percolation":[46],"theory":[47],"stochastic":[49],"geometry,":[50],"we":[51],"thus":[52],"provide":[53],"novel":[55],"parametrization":[56],"underlay":[58],"secondary":[59,65,85,109],"ad":[60,81],"hoc":[61,82],"CRN":[62],"wherein":[63],"network":[66,86],"regarded":[68],"as":[69],"an":[70,145],"operating":[71],"point":[72],"in":[73,117],"phase":[75,89,119],"space.":[76],"Coexisting":[77],"with":[78,135],"primary":[80,96,102,150],"network,":[83],"undergoes":[87],"transition":[90],"due":[91],"avoiding":[93],"interference":[94,125],"receivers,":[97],"while":[98],"being":[99],"interfered":[100],"transmitters.":[103],"Furthermore,":[104],"transmit":[105],"power":[106],"allocation":[107],"users":[110],"represented":[112],"Pareto":[115],"contour":[116],"space,":[120],"impact":[123],"on":[126],"connectivity":[127],"captured":[129],"latency-to-":[132],"percolate.":[133],"Finally,":[134],"capability":[138],"CR,":[140],"performance":[141],"improvement":[142],"importing":[144],"SU-":[146],"avoidance":[147],"region":[148],"around":[149],"receivers":[151],"analyzed,":[153],"CRNs":[155],"can":[156],"be":[157],"successfully":[159],"supplied.":[160]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
