{"id":"https://openalex.org/W2980128121","doi":"https://doi.org/10.1109/access.2019.2946604","title":"Density Analysis of LTE-LAA Networks Coexisting With WiFi Sharing Multiple Unlicensed Channels","display_name":"Density Analysis of LTE-LAA Networks Coexisting With WiFi Sharing Multiple Unlicensed Channels","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2980128121","doi":"https://doi.org/10.1109/access.2019.2946604","mag":"2980128121"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2946604","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2946604","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08864983.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08864983.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062487419","display_name":"Haonan Hu","orcid":"https://orcid.org/0000-0002-7767-0016"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haonan Hu","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-7767-0016","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041324557","display_name":"Yuan Gao","orcid":"https://orcid.org/0000-0002-0665-473X"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yuan Gao","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100320402","display_name":"Jiliang Zhang","orcid":"https://orcid.org/0000-0003-3750-6841"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jiliang Zhang","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K"],"raw_orcid":"https://orcid.org/0000-0003-3750-6841","affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069850104","display_name":"Xiaoli Chu","orcid":"https://orcid.org/0000-0003-1863-6149"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xiaoli Chu","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084338675","display_name":"Qianbin Chen","orcid":"https://orcid.org/0000-0001-6868-6860"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianbin Chen","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100436731","display_name":"Jie Zhang","orcid":"https://orcid.org/0000-0002-3354-0690"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jie Zhang","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, U.K","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8886,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7735183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"148004","last_page":"148018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11158","display_name":"Wireless Networks and Protocols","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11158","display_name":"Wireless Networks and Protocols","score":0.9998999834060669,"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/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":0.9987999796867371,"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/throughput","display_name":"Throughput","score":0.7515445351600647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6999754905700684},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.6571580171585083},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5936435461044312},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.45714643597602844},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.42986568808555603},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.25035879015922546},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.23821532726287842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1238027811050415},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07363849878311157}],"concepts":[{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.7515445351600647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6999754905700684},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.6571580171585083},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5936435461044312},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.45714643597602844},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.42986568808555603},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.25035879015922546},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.23821532726287842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1238027811050415},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07363849878311157}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2019.2946604","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2946604","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08864983.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:156008","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:e7e75d29c6b54ab0b31a90c92edc9734","is_oa":true,"landing_page_url":"https://doaj.org/article/e7e75d29c6b54ab0b31a90c92edc9734","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 148004-148018 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2946604","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2946604","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08864983.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G265104915","display_name":null,"funder_award_id":"EC H2020","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G3144459752","display_name":null,"funder_award_id":"cstc2019jcyj","funder_id":"https://openalex.org/F4320327726","funder_display_name":"Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission"},{"id":"https://openalex.org/G3244875928","display_name":null,"funder_award_id":"cstc2019jcyj","funder_id":"https://openalex.org/F4320321550","funder_display_name":"Chongqing Science and Technology Commission"},{"id":"https://openalex.org/G3345895242","display_name":null,"funder_award_id":"H2020-MSCA","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G4290000448","display_name":null,"funder_award_id":"61901075","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4351780340","display_name":null,"funder_award_id":"61831002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5077732186","display_name":null,"funder_award_id":"734798","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G8010048441","display_name":null,"funder_award_id":"cstc2019jcyj-msxmX0602","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321550","display_name":"Chongqing Science and Technology Commission","ror":"https://ror.org/05w9erc61"},{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327726","display_name":"Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission","ror":null},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2980128121.pdf","grobid_xml":"https://content.openalex.org/works/W2980128121.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1998944109","https://openalex.org/W2006166592","https://openalex.org/W2056605887","https://openalex.org/W2083715193","https://openalex.org/W2106690257","https://openalex.org/W2113746883","https://openalex.org/W2145417574","https://openalex.org/W2146115135","https://openalex.org/W2146696920","https://openalex.org/W2149170915","https://openalex.org/W2150166076","https://openalex.org/W2152332139","https://openalex.org/W2160272733","https://openalex.org/W2232089096","https://openalex.org/W2257712432","https://openalex.org/W2278683827","https://openalex.org/W2323909775","https://openalex.org/W2336972884","https://openalex.org/W2346210987","https://openalex.org/W2346729989","https://openalex.org/W2462784749","https://openalex.org/W2558339498","https://openalex.org/W2562565773","https://openalex.org/W2613882223","https://openalex.org/W2773093775","https://openalex.org/W2790998462","https://openalex.org/W2795938868","https://openalex.org/W2808451733","https://openalex.org/W2884859544","https://openalex.org/W2890355802","https://openalex.org/W2901436587","https://openalex.org/W2905536763","https://openalex.org/W2963581947","https://openalex.org/W3100357572","https://openalex.org/W3103898516","https://openalex.org/W4210493863","https://openalex.org/W6730413993"],"related_works":["https://openalex.org/W2016000499","https://openalex.org/W2906618418","https://openalex.org/W4293094831","https://openalex.org/W790449367","https://openalex.org/W2275459886","https://openalex.org/W4386850052","https://openalex.org/W2963076731","https://openalex.org/W2249083530","https://openalex.org/W2604524836","https://openalex.org/W2786893525"],"abstract_inverted_index":{"With":[0],"data":[1],"traffic":[2],"explosion,":[3],"operating":[4],"Long-Term":[5],"Evolution":[6],"(LTE)":[7],"in":[8],"the":[9,29,46,54,73,82,90,95,109,141,166,171,184,199,202,206],"5":[10],"GHz":[11],"unlicensed":[12,47,65],"band,":[13],"which":[14,116],"has":[15,22,37,58],"already":[16],"been":[17,23,38,60],"used":[18,158],"by":[19,49,123],"WiFi":[20,31,87],"networks,":[21,32],"proposed.":[24],"To":[25],"harmoniously":[26],"coexist":[27],"with":[28],"incumbent":[30],"LTE-Licensed":[33],"Assisted":[34],"Access":[35],"(LAA)":[36],"proposed":[39],"recently,":[40],"advocating":[41],"cellular":[42],"networks":[43,88],"to":[44,139,159],"access":[45,134],"band":[48],"employing":[50],"listen-before-talk":[51],"mechanism.":[52],"However,":[53],"performance":[55],"of":[56,81,108,115,154,165],"LAA":[57],"not":[59,174],"analysed":[61],"under":[62,177],"multiple":[63],"accessible":[64],"channels":[66],"(UCs).":[67],"In":[68],"this":[69],"work,":[70],"we":[71],"analyse":[72],"user":[74,143],"throughput":[75,101],"and":[76,86,102,121,147,182],"spatial":[77],"spectral":[78],"efficiency":[79],"(SSE)":[80],"multi-UC":[83],"coexisting":[84],"LTE-LAA":[85,142],"versus":[89],"network":[91],"density":[92,137,186,208],"based":[93],"on":[94],"Matern":[96],"hard":[97],"core":[98],"process.":[99],"The":[100,127],"SSE":[103,172,200,204],"are":[104,119],"obtained":[105],"as":[106,205],"functions":[107],"downlink":[110],"successful":[111],"transmission":[112],"probability":[113],"(STP),":[114],"analytical":[117],"expressions":[118],"derived":[120,149],"validated":[122],"Monte":[124],"Carlo":[125],"simulations.":[126],"results":[128],"show":[129],"that":[130],"an":[131],"optimal":[132,167],"LTE":[133],"point":[135],"(LAP)":[136],"exists":[138],"maximise":[140],"equipment":[144],"(LUE)":[145],"throughput,":[146],"our":[148],"closed-form":[150],"STP":[151],"lower":[152],"bound":[153],"LUE":[155],"can":[156],"be":[157],"obtain":[160],"a":[161],"sufficiently":[162],"accurate":[163],"prediction":[164],"LAP":[168,180,185,207],"density.":[169],"Moreover,":[170],"does":[173],"change":[175],"much":[176],"relatively":[178],"low":[179],"densities,":[181],"when":[183],"is":[187],"larger":[188],"than":[189],"1,":[190],"585":[191],"LAPs":[192],"per":[193],"km":[194],"<sup":[195],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[196],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[197],",":[198],"approaches":[201,209],"asymptotic":[203],"infinity.":[210]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}