{"id":"https://openalex.org/W2142480768","doi":"https://doi.org/10.1186/s13638-015-0277-6","title":"Analytical modeling of cognitive heterogeneous cellular networks over Nakagami-m fading","display_name":"Analytical modeling of cognitive heterogeneous cellular networks over Nakagami-m fading","publication_year":2015,"publication_date":"2015-03-09","ids":{"openalex":"https://openalex.org/W2142480768","doi":"https://doi.org/10.1186/s13638-015-0277-6","mag":"2142480768"},"language":"en","primary_location":{"id":"doi:10.1186/s13638-015-0277-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-015-0277-6","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0277-6","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0277-6","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071569647","display_name":"Fereidoun H. Panahi","orcid":"https://orcid.org/0000-0002-6459-2442"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Fereidoun H Panahi","raw_affiliation_strings":["Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, 223-8522 Yokohama, Japan","Graduate school of Science and Technology, Keio University, Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, 223-8522 Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Graduate school of Science and Technology, Keio University, Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016337773","display_name":"Tomoaki Ohtsuki","orcid":"https://orcid.org/0000-0003-3961-1426"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomoaki Ohtsuki","raw_affiliation_strings":["Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, 223-8522 Yokohama, Japan","Graduate school of Science and Technology, Keio University, Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, 223-8522 Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Graduate school of Science and Technology, Keio University, Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071569647"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.7891,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76452251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2015","issue":"1","first_page":null,"last_page":null},"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9990000128746033,"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/nakagami-distribution","display_name":"Nakagami distribution","score":0.8366098403930664},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.8195216655731201},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8085973262786865},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.7969805002212524},{"id":"https://openalex.org/keywords/femto","display_name":"Femto-","score":0.7361212968826294},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.7132792472839355},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.6654666066169739},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.6448237895965576},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.560517430305481},{"id":"https://openalex.org/keywords/coverage-probability","display_name":"Coverage probability","score":0.5416089296340942},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.48506084084510803},{"id":"https://openalex.org/keywords/femtocell","display_name":"Femtocell","score":0.48291346430778503},{"id":"https://openalex.org/keywords/outage-probability","display_name":"Outage probability","score":0.47755393385887146},{"id":"https://openalex.org/keywords/macro","display_name":"Macro","score":0.4757354259490967},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.47469061613082886},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4538116157054901},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.42970210313796997},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.42690199613571167},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.37411338090896606},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3230154812335968},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2691799998283386},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16348183155059814},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.14463603496551514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13577324151992798},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.116778165102005},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.09301069378852844},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06557142734527588},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.06535854935646057}],"concepts":[{"id":"https://openalex.org/C115098869","wikidata":"https://www.wikidata.org/wiki/Q3258347","display_name":"Nakagami distribution","level":4,"score":0.8366098403930664},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.8195216655731201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8085973262786865},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.7969805002212524},{"id":"https://openalex.org/C2777118422","wikidata":"https://www.wikidata.org/wiki/Q110791","display_name":"Femto-","level":2,"score":0.7361212968826294},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.7132792472839355},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.6654666066169739},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.6448237895965576},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.560517430305481},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.5416089296340942},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.48506084084510803},{"id":"https://openalex.org/C152504517","wikidata":"https://www.wikidata.org/wiki/Q572455","display_name":"Femtocell","level":3,"score":0.48291346430778503},{"id":"https://openalex.org/C2778258436","wikidata":"https://www.wikidata.org/wiki/Q30672262","display_name":"Outage probability","level":4,"score":0.47755393385887146},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.4757354259490967},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.47469061613082886},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4538116157054901},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.42970210313796997},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.42690199613571167},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.37411338090896606},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3230154812335968},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2691799998283386},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16348183155059814},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.14463603496551514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13577324151992798},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.116778165102005},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.09301069378852844},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06557142734527588},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.06535854935646057},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1186/s13638-015-0277-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-015-0277-6","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0277-6","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/s13638-015-0277-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-015-0277-6","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0277-6","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2142480768.pdf","grobid_xml":"https://content.openalex.org/works/W2142480768.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1584611818","https://openalex.org/W1969492090","https://openalex.org/W1972652178","https://openalex.org/W2012912688","https://openalex.org/W2039688938","https://openalex.org/W2063542522","https://openalex.org/W2084436032","https://openalex.org/W2086692604","https://openalex.org/W2109159967","https://openalex.org/W2109573020","https://openalex.org/W2117059442","https://openalex.org/W2117722074","https://openalex.org/W2126262003","https://openalex.org/W2131070905","https://openalex.org/W2133685514","https://openalex.org/W2143252188","https://openalex.org/W2150166076","https://openalex.org/W2153620960","https://openalex.org/W2159038621","https://openalex.org/W2164097314","https://openalex.org/W2537902178","https://openalex.org/W4206136358","https://openalex.org/W6600561556"],"related_works":["https://openalex.org/W3034508715","https://openalex.org/W2540713768","https://openalex.org/W2615128666","https://openalex.org/W1607049962","https://openalex.org/W2059270103","https://openalex.org/W2558244751","https://openalex.org/W2741688587","https://openalex.org/W2142480768","https://openalex.org/W3195736312","https://openalex.org/W4380990438"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,12],"cognitive":[6],"radio":[7],"(CR)-based":[8],"statistical":[9],"framework":[10],"for":[11,91,106,151],"two-tier":[13],"heterogeneous":[14],"cellular":[15],"network":[16,56],"(femto-macro":[17],"network)":[18],"to":[19,50,136],"model":[20,35,51],"the":[21,41,52,79,83,92,103,124,143],"outage":[22,93,127,149],"probability":[23,94,150],"at":[24],"any":[25,96],"arbitrary":[26],"secondary":[27,60],"(femto)":[28],"and":[29,55,61,99,109,128,141],"primary":[30,62],"(macro)":[31],"user.":[32],"A":[33,64],"system":[34],"based":[36],"on":[37],"stochastic":[38],"geometry":[39],"(utilizing":[40],"spatial":[42],"Poisson":[43],"point":[44],"process":[45],"(PPP)":[46],"theory)":[47],"is":[48],"applied":[49],"random":[53],"locations":[54],"topology":[57],"of":[58,77,95,126,148,154],"both":[59],"users.":[63],"considerable":[65],"performance":[66],"improvement":[67],"can":[68],"be":[69,131],"generally":[70],"achieved":[71],"by":[72],"mitigating":[73],"interference":[74,110,129],"in":[75,123,146],"result":[76],"applying":[78],"CR":[80],"idea":[81],"over":[82],"above":[84],"model.":[85],"Novel":[86],"closed-form":[87],"expressions":[88],"are":[89],"derived":[90],"typical":[97],"femto":[98],"macro":[100],"user":[101],"considering":[102],"Nakagami-m":[104],"fading":[105],"each":[107],"desired":[108],"links.":[111],"We":[112,133],"also":[113],"study":[114],"some":[115],"important":[116,121],"design":[117],"factors":[118],"which":[119],"their":[120],"role":[122],"determination":[125],"cannot":[130],"ignored.":[132],"conduct":[134],"simulations":[135],"validate":[137],"our":[138],"analytical":[139],"results":[140],"evaluate":[142],"proposed":[144],"schemes":[145],"terms":[147],"different":[152],"values":[153],"signal-to-interference-plus-noise-ratio":[155],"(SINR)":[156],"target.":[157]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
