{"id":"https://openalex.org/W2180192268","doi":"https://doi.org/10.1109/tvt.2015.2464683","title":"On the Energy Efficiency\u2013Spectral Efficiency Tradeoff in MIMO-OFDMA Broadcast Channels","display_name":"On the Energy Efficiency\u2013Spectral Efficiency Tradeoff in MIMO-OFDMA Broadcast Channels","publication_year":2015,"publication_date":"2015-08-04","ids":{"openalex":"https://openalex.org/W2180192268","doi":"https://doi.org/10.1109/tvt.2015.2464683","mag":"2180192268"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2015.2464683","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2464683","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Vehicular Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/tvt.2015.2464683","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089631680","display_name":"Jie Tang","orcid":"https://orcid.org/0000-0003-0619-0338"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jie Tang","raw_affiliation_strings":["School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036412443","display_name":"Daniel K. C. So","orcid":"https://orcid.org/0000-0002-7642-1755"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniel K. C. So","raw_affiliation_strings":["School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002248410","display_name":"Emad Alsusa","orcid":"https://orcid.org/0000-0002-7724-2636"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Emad Alsusa","raw_affiliation_strings":["School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054743342","display_name":"Khairi Ashour Hamdi","orcid":"https://orcid.org/0000-0002-8060-5573"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Khairi Ashour Hamdi","raw_affiliation_strings":["School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001019738","display_name":"Arman Shojaeifard","orcid":"https://orcid.org/0000-0003-0826-1996"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Arman Shojaeifard","raw_affiliation_strings":["School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering, The University of Manchester, Manchester, U.K","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I28407311"],"apc_list":null,"apc_paid":null,"fwci":3.6928,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.93607134,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"7","first_page":"5185","last_page":"5199"},"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9995999932289124,"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":0.9994000196456909,"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/mimo","display_name":"MIMO","score":0.7051336765289307},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.6641047596931458},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6399490237236023},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiple-access","display_name":"Orthogonal frequency-division multiple access","score":0.6127969622612},{"id":"https://openalex.org/keywords/spectral-efficiency","display_name":"Spectral efficiency","score":0.6082702875137329},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5455510020256042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5049570202827454},{"id":"https://openalex.org/keywords/frequency-division-multiple-access","display_name":"Frequency-division multiple access","score":0.49942541122436523},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.4230264127254486},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.40704450011253357},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38163742423057556},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.35186874866485596},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18123292922973633},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.13571012020111084}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7051336765289307},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.6641047596931458},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6399490237236023},{"id":"https://openalex.org/C2775907427","wikidata":"https://www.wikidata.org/wiki/Q2697649","display_name":"Orthogonal frequency-division multiple access","level":4,"score":0.6127969622612},{"id":"https://openalex.org/C137246740","wikidata":"https://www.wikidata.org/wiki/Q583970","display_name":"Spectral efficiency","level":3,"score":0.6082702875137329},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5455510020256042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5049570202827454},{"id":"https://openalex.org/C2776208322","wikidata":"https://www.wikidata.org/wiki/Q844071","display_name":"Frequency-division multiple access","level":4,"score":0.49942541122436523},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.4230264127254486},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.40704450011253357},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38163742423057556},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.35186874866485596},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18123292922973633},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.13571012020111084}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tvt.2015.2464683","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2464683","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Vehicular Technology","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/1a0afad5-0913-4ffd-864d-77495844ca23","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/1a0afad5-0913-4ffd-864d-77495844ca23","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Tang, J, So, D K C, Alsusa, E, Hamdi, K & Shojaeifard, A 2015, 'On the Energy Efficiency-Spectral Efficiency Trade-Off in MIMO-OFDMA Broadcast Channels', I E E E Transactions on Vehicular Technology, vol. 65, no. 7, pp. 5185 - 5199. https://doi.org/10.1109/TVT.2015.2464683","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/cc44989b-c616-4d05-839e-aba914077655","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/cc44989b-c616-4d05-839e-aba914077655","pdf_url":"https://research.manchester.ac.uk/files/29777806/PRE-PEER-REVIEW.PDF","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Tang, J, So, D K C, Alsusa, E, Hamdi, K & Shojaeifard, A 2016, 'On the Energy Efficiency-Spectral Efficiency Trade-Off in MIMO-OFDMA Broadcast Channels', I E E E Transactions on Vehicular Technology. https://doi.org/10.1109/TVT.2015.2464683","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:publications/cc44989b-c616-4d05-839e-aba914077655","is_oa":true,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/on-the-energy-efficiencyspectral-efficiency-tradeoff-in-mimoofdma-broadcast-channels(cc44989b-c616-4d05-839e-aba914077655).html","pdf_url":"https://pure.manchester.ac.uk/ws/files/29777806/PRE-PEER-REVIEW.PDF","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Tang, J, So, D K C, Alsusa, E, Hamdi, K & Shojaeifard, A 2016, 'On the Energy Efficiency-Spectral Efficiency Trade-Off in MIMO-OFDMA Broadcast Channels', I E E E Transactions on Vehicular Technology. https://doi.org/10.1109/TVT.2015.2464683","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/tvt.2015.2464683","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2464683","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Vehicular Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[{"id":"https://openalex.org/G4543044672","display_name":"Green Heterogeneous Networks","funder_award_id":"EP/J021768/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7985805409","display_name":null,"funder_award_id":"EP/J021768/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W74476162","https://openalex.org/W1544404524","https://openalex.org/W1965974415","https://openalex.org/W1966650044","https://openalex.org/W1973977831","https://openalex.org/W1987089531","https://openalex.org/W1988942839","https://openalex.org/W2003806850","https://openalex.org/W2021544398","https://openalex.org/W2030546921","https://openalex.org/W2045311350","https://openalex.org/W2053896644","https://openalex.org/W2057231692","https://openalex.org/W2059475385","https://openalex.org/W2076916716","https://openalex.org/W2083241029","https://openalex.org/W2089126307","https://openalex.org/W2096041703","https://openalex.org/W2101300273","https://openalex.org/W2105264426","https://openalex.org/W2108991453","https://openalex.org/W2109872058","https://openalex.org/W2116485279","https://openalex.org/W2119952207","https://openalex.org/W2121171713","https://openalex.org/W2124822039","https://openalex.org/W2124918853","https://openalex.org/W2127424356","https://openalex.org/W2134294989","https://openalex.org/W2135794028","https://openalex.org/W2136822103","https://openalex.org/W2141162475","https://openalex.org/W2142238976","https://openalex.org/W2147437672","https://openalex.org/W2151192747","https://openalex.org/W2153966451","https://openalex.org/W2156387609","https://openalex.org/W2161410889","https://openalex.org/W2161770617","https://openalex.org/W2164631123","https://openalex.org/W2170300951","https://openalex.org/W3100399470","https://openalex.org/W3103715413","https://openalex.org/W4231670616","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W3118536199","https://openalex.org/W2025189274","https://openalex.org/W3168365631","https://openalex.org/W3016860855","https://openalex.org/W2092365485","https://openalex.org/W1585503616","https://openalex.org/W1543564974","https://openalex.org/W2004574319","https://openalex.org/W3164284189","https://openalex.org/W1572087604"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,26,31,39,50,58,64,70,95,109,117,137,178,200,220,229,233,238,248,254,268,275,281,289],"fundamental":[4],"energy":[5],"efficiency-spectral":[6],"efficiency":[7],"(EE-SE)":[8],"relationship":[9,139],"in":[10],"a":[11,21,87,101,122,141,171,195,209,257,261],"multiple-input-multiple-output":[12],"(MIMO)":[13],"orthogonal":[14],"frequency-division":[15],"multiple-access":[16],"(OFDMA)":[17],"broadcast":[18],"channel":[19],"with":[20,46,121,153,163],"practical":[22],"power":[23,27,48,205,215],"model":[24],"considering":[25],"consumption":[28],"due":[29],"to":[30,83,100,148,176,226,245],"number":[32,40],"of":[33,41,103,202],"admitted":[34,66,124,263],"users,":[35],"as":[36,38],"well":[37],"active":[42,71],"transmit":[43,59,72,128,191],"antennas.":[44],"However,":[45],"this":[47,132],"model,":[49],"EE-SE":[51,118,138,180,291],"tradeoff":[52,119,181,210],"optimization":[53,98,106,112],"problem,":[54,113],"which":[55],"jointly":[56],"optimizes":[57],"covariance":[60],"matrices":[61],"while":[62],"determining":[63],"optimal":[65,230,234,290],"user":[67,125,221,264],"set":[68,102,126,265],"and":[69,77,127,159,188,214,222,237,278],"antenna":[73,129,223],"set,":[74],"is":[75,80,140,146,270],"nonconvex,":[76],"hence,":[78],"it":[79],"extremely":[81],"difficult":[82],"solve":[84],"directly.":[85],"As":[86],"result,":[88],"we":[89,114,134,169],"propose":[90,170],"an":[91],"algorithm":[92,175,285],"that":[93,136,259,280],"decouples":[94],"multicarrier":[96],"EE":[97,105,111,145],"problem":[99,120],"single-carrier":[104,110],"problems.":[107],"For":[108],"first":[115,156],"investigate":[116],"fixed":[123,262],"set.":[130],"Under":[131],"setup,":[133],"prove":[135],"quasiconcave":[142],"function.":[143],"Furthermore,":[144],"proved":[147],"be":[149],"either":[150],"strictly":[151,157,161],"decreasing":[152,162],"SE":[154],"or":[155],"increasing":[158],"then":[160],"SE.":[164],"Based":[165],"on":[166],"these":[167],"findings,":[168],"two-layer":[172],"resource":[173,283],"allocation":[174,284],"tackle":[177],"comprehensive":[179],"problem.":[182],"Meanwhile,":[183],"since":[184],"admitting":[185],"more":[186,190],"users":[187],"activating":[189],"antennas":[192],"can":[193,286],"achieve":[194],"higher":[196],"sum":[197],"rate":[198],"at":[199],"cost":[201],"larger":[203],"transmit-independent":[204],"consumption,":[206],"there":[207],"exists":[208],"between":[211],"sum-rate":[212],"gain":[213],"consumption.":[216],"We":[217],"therefore":[218],"study":[219],"selection":[224,241],"approach":[225,288],"further":[227,246,252],"explore":[228],"tradeoff.":[231,292],"Both":[232],"exhaustive":[235],"search":[236],"Frobenius-norm-based":[239],"dynamic":[240],"schemes":[242],"are":[243],"developed":[244],"improve":[247],"achievable":[249],"EE.":[250],"To":[251],"reduce":[253],"computational":[255],"complexity,":[256],"strategy":[258],"chooses":[260],"for":[266],"all":[267],"subcarriers":[269],"developed.":[271],"Simulation":[272],"results":[273],"confirm":[274],"theoretical":[276],"findings":[277],"demonstrate":[279],"proposed":[282],"efficiently":[287]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}