{"id":"https://openalex.org/W2949028735","doi":"https://doi.org/10.1109/twc.2019.2908863","title":"Analysis of Non-Stationary 3D Air-to-Air Channels Using the Theory of Algebraic Curves","display_name":"Analysis of Non-Stationary 3D Air-to-Air Channels Using the Theory of Algebraic Curves","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W2949028735","doi":"https://doi.org/10.1109/twc.2019.2908863","mag":"2949028735"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2019.2908863","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2019.2908863","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Wireless Communications","raw_type":"journal-article"},"type":"article","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/A5069232208","display_name":"Michael Walter","orcid":"https://orcid.org/0000-0001-5659-8716"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Walter","raw_affiliation_strings":["German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5659-8716","affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047628893","display_name":"Dmitriy Shutin","orcid":"https://orcid.org/0000-0002-6065-6453"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dmitriy Shutin","raw_affiliation_strings":["German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063738915","display_name":"David W. Matolak","orcid":"https://orcid.org/0000-0002-7469-4864"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David W. Matolak","raw_affiliation_strings":["College of Engineering and Computing, University of South Carolina, Columbia, SC, USA"],"raw_orcid":"https://orcid.org/0000-0002-7469-4864","affiliations":[{"raw_affiliation_string":"College of Engineering and Computing, University of South Carolina, Columbia, SC, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085849436","display_name":"Nicolas Schneckenburger","orcid":"https://orcid.org/0000-0001-9952-7555"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nicolas Schneckenburger","raw_affiliation_strings":["German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9952-7555","affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018138101","display_name":"Thomas Wiedemann","orcid":"https://orcid.org/0000-0002-1740-8841"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Wiedemann","raw_affiliation_strings":["German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065011089","display_name":"Armin Dammann","orcid":"https://orcid.org/0000-0002-7112-1833"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Armin Dammann","raw_affiliation_strings":["German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany"],"raw_orcid":"https://orcid.org/0000-0002-7112-1833","affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR), Institute of Communications and Navigation, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1676,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.78872411,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"18","issue":"8","first_page":"3767","last_page":"3780"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10936","display_name":"Millimeter-Wave Propagation and Modeling","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/T10936","display_name":"Millimeter-Wave Propagation and Modeling","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/T10761","display_name":"Vehicular Ad Hoc Networks (VANETs)","score":0.9994000196456909,"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/T10069","display_name":"Antenna Design and Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6741143465042114},{"id":"https://openalex.org/keywords/doppler-effect","display_name":"Doppler effect","score":0.6288119554519653},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5340014696121216},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5310060977935791},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4869881570339203},{"id":"https://openalex.org/keywords/characteristic-function","display_name":"Characteristic function (probability theory)","score":0.46916183829307556},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.45103156566619873},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4353906214237213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4038040041923523},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39871713519096375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3923065960407257},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3604985177516937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2126622200012207},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17174342274665833},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1405079960823059}],"concepts":[{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6741143465042114},{"id":"https://openalex.org/C142757262","wikidata":"https://www.wikidata.org/wiki/Q76436","display_name":"Doppler effect","level":2,"score":0.6288119554519653},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5340014696121216},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5310060977935791},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4869881570339203},{"id":"https://openalex.org/C20538924","wikidata":"https://www.wikidata.org/wiki/Q822139","display_name":"Characteristic function (probability theory)","level":3,"score":0.46916183829307556},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.45103156566619873},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4353906214237213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4038040041923523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39871713519096375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3923065960407257},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3604985177516937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2126622200012207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17174342274665833},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1405079960823059},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2019.2908863","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2019.2908863","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:elib.dlr.de:126955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/TWC.2019.2908863>.","pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Zeitschriftenbeitrag"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1493327554","https://openalex.org/W1601759414","https://openalex.org/W1602634034","https://openalex.org/W2001824811","https://openalex.org/W2015142417","https://openalex.org/W2020180232","https://openalex.org/W2024929922","https://openalex.org/W2028778248","https://openalex.org/W2040921991","https://openalex.org/W2046245205","https://openalex.org/W2053217047","https://openalex.org/W2055028966","https://openalex.org/W2058244481","https://openalex.org/W2064278347","https://openalex.org/W2075572836","https://openalex.org/W2085405697","https://openalex.org/W2086885868","https://openalex.org/W2097515118","https://openalex.org/W2100736253","https://openalex.org/W2106977330","https://openalex.org/W2130917709","https://openalex.org/W2142036317","https://openalex.org/W2146318236","https://openalex.org/W2147461281","https://openalex.org/W2149743051","https://openalex.org/W2163327719","https://openalex.org/W2167247081","https://openalex.org/W2168133032","https://openalex.org/W2171596170","https://openalex.org/W2187817495","https://openalex.org/W2219837882","https://openalex.org/W2235766849","https://openalex.org/W2467342013","https://openalex.org/W2506788692","https://openalex.org/W2543805827","https://openalex.org/W2671569386","https://openalex.org/W2794182885","https://openalex.org/W2907976147","https://openalex.org/W2942228371","https://openalex.org/W2983048931","https://openalex.org/W3112961938","https://openalex.org/W4210281012","https://openalex.org/W4212888567","https://openalex.org/W4237994936","https://openalex.org/W4252725080","https://openalex.org/W6654114971","https://openalex.org/W6685199232","https://openalex.org/W6719798931"],"related_works":["https://openalex.org/W1555216950","https://openalex.org/W2373670823","https://openalex.org/W2055750045","https://openalex.org/W1585046483","https://openalex.org/W2355760814","https://openalex.org/W1509341792","https://openalex.org/W2075138351","https://openalex.org/W2123188330","https://openalex.org/W1938615527","https://openalex.org/W2371028619"],"abstract_inverted_index":{"Non-stationary":[0],"channel":[1],"models":[2],"play":[3],"a":[4,62],"crucial":[5],"role":[6],"in":[7,61,75,131],"today's":[8],"communication":[9],"systems.":[10],"Mobile-to-mobile":[11],"channels":[12,94],"are":[13],"known":[14],"to":[15,72,108,149,179],"exhibit":[16],"non-stationary":[17],"behavior":[18],"caused":[19],"by":[20,31,86],"the":[21,38,54,76,95,104,115,128,144,151,156,159,164,174],"movement":[22],"of":[23,53,127,146,158],"transmitter":[24],"and":[25,154],"receiver.":[26],"Non-stationarity":[27],"can":[28,119,176],"be":[29,120,177],"addressed":[30],"introducing":[32],"time-variant":[33,39,46,55,116],"stochastic":[34],"functions":[35,74],"such":[36],"as":[37,138],"instantaneous":[40,47],"Doppler":[41,56,117,129,152,161],"probability":[42,57],"density":[43,58],"function":[44,59],"or":[45],"characteristic":[48],"function.":[49],"An":[50],"algebraic":[51,96,140,147],"analysis":[52,97,105],"(pdf)":[60],"classical":[63],"Cartesian":[64],"coordinate":[65],"system":[66],"is":[67,106,112],"only":[68],"numerically":[69],"tractable":[70],"due":[71],"trigonometric":[73,123],"resulting":[77,160],"expressions.":[78],"In":[79,101],"contrast,":[80],"it":[81,137],"has":[82],"been":[83],"shown":[84,113],"that":[85,114],"using":[87],"prolate":[88,132],"spheroidal":[89,133],"coordinates":[90,134],"for":[91],"2D":[92],"vehicle-to-vehicle":[93],"becomes":[98],"analytically":[99],"tractable.":[100],"this":[102],"paper,":[103],"extended":[107,178],"air-to-air":[109,171,181],"channels.":[110],"It":[111],"pdf":[118],"represented":[121],"without":[122],"functions.":[124],"The":[125],"description":[126],"frequency":[130,153],"allows":[135],"describing":[136],"an":[139],"curve.":[141],"This":[142],"permits":[143],"use":[145],"methods":[148],"analyze":[150],"derive":[155],"boundaries":[157],"pdf.":[162],"Using":[163],"developed":[165],"tools,":[166],"we":[167],"have":[168],"investigated":[169],"exemplary":[170],"scenarios.":[172],"However,":[173],"methodology":[175],"any":[180],"configuration.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
