{"id":"https://openalex.org/W2901351120","doi":"https://doi.org/10.1109/tvt.2018.2881386","title":"Symbol Error Probability Analysis of DFrFT-Based OFDM Systems With CFO and STO in Frequency Selective Rayleigh Fading Channels","display_name":"Symbol Error Probability Analysis of DFrFT-Based OFDM Systems With CFO and STO in Frequency Selective Rayleigh Fading Channels","publication_year":2018,"publication_date":"2018-11-14","ids":{"openalex":"https://openalex.org/W2901351120","doi":"https://doi.org/10.1109/tvt.2018.2881386","mag":"2901351120"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2018.2881386","doi":"https://doi.org/10.1109/tvt.2018.2881386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2018.2881386","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,"listed_in":["cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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 Vehicular Technology","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://re.public.polimi.it/bitstream/11311/1068333/5/Final%20IEEE%20TVT%20Paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101716435","display_name":"Atul Kumar","orcid":"https://orcid.org/0000-0002-0016-1061","observed_orcids":["https://orcid.org/0000-0002-0016-1061","https://orcid.org/0000-0002-0200-940X"]},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Atul Kumar","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0016-1061","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026125746","display_name":"Maurizio Magarini","orcid":"https://orcid.org/0000-0001-9288-0452","observed_orcids":["https://orcid.org/0000-0001-9288-0452"]},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maurizio Magarini","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0001-9288-0452","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.6687,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.67851058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"68","issue":"1","first_page":"64","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.5874000191688538,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.5874000191688538,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.4097000062465668,"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":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/symbol-error-probability","display_name":"symbol error probability","score":0.8479999899864197},{"id":"https://openalex.org/keywords/discrete-fractional-fourier-transform","display_name":"discrete fractional Fourier transform","score":0.9559999704360962},{"id":"https://openalex.org/keywords/ofdm","display_name":"OFDM","score":0.9739999771118164},{"id":"https://openalex.org/keywords/carrier-frequency-offset","display_name":"carrier frequency offset","score":0.9769999980926514},{"id":"https://openalex.org/keywords/symbol-timing-offset","display_name":"symbol timing offset","score":0.996999979019165},{"id":"https://openalex.org/keywords/frequency-selective-rayleigh-fading","display_name":"frequency-selective Rayleigh fading","score":0.8790000081062317},{"id":"https://openalex.org/keywords/inter-carrier-interference","display_name":"inter-carrier interference","score":0.9829999804496765},{"id":"https://openalex.org/keywords/intersymbol-interference","display_name":"intersymbol interference","score":0.9800000190734863},{"id":"https://openalex.org/keywords/phase-shift-keying","display_name":"phase-shift keying","score":0.7300000190734863},{"id":"https://openalex.org/keywords/qpsk","display_name":"QPSK","score":0.925000011920929},{"id":"https://openalex.org/keywords/16-qam","display_name":"16-QAM","score":0.9319999814033508},{"id":"https://openalex.org/keywords/closed-form-expressions","display_name":"closed-form expressions","score":0.460999995470047},{"id":"https://openalex.org/keywords/density-functional-theory-comparison","display_name":"density functional theory comparison","score":0.5299999713897705}],"concepts":[{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.7808368802070618},{"id":"https://openalex.org/C2776108382","wikidata":"https://www.wikidata.org/wiki/Q25111451","display_name":"Carrier frequency offset","level":5,"score":0.7496986389160156},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.5608657598495483},{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.5570055842399597},{"id":"https://openalex.org/C97812054","wikidata":"https://www.wikidata.org/wiki/Q2166055","display_name":"Intersymbol interference","level":3,"score":0.5350208282470703},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4802998900413513},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.44962698221206665},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.44163891673088074},{"id":"https://openalex.org/C186378180","wikidata":"https://www.wikidata.org/wiki/Q4874866","display_name":"Phase-shift keying","level":4,"score":0.4237169623374939},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3992465138435364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38109517097473145},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.36196208000183105},{"id":"https://openalex.org/C49319798","wikidata":"https://www.wikidata.org/wiki/Q5502874","display_name":"Frequency offset","level":4,"score":0.35046565532684326},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.34819915890693665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3238281011581421},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2656281590461731},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.25969892740249634},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.24076572060585022},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22198697924613953},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17442265152931213},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.1562221646308899},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.14270979166030884}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvt.2018.2881386","doi":"https://doi.org/10.1109/tvt.2018.2881386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2018.2881386","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,"listed_in":["cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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 Vehicular Technology","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1068333","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1068333","pdf_url":"https://re.public.polimi.it/bitstream/11311/1068333/5/Final%20IEEE%20TVT%20Paper.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/1068333","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1068333","pdf_url":"https://re.public.polimi.it/bitstream/11311/1068333/5/Final%20IEEE%20TVT%20Paper.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2901351120.pdf","grobid_xml":"https://content.openalex.org/works/W2901351120.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1481980224","https://openalex.org/W1522045078","https://openalex.org/W1979325611","https://openalex.org/W1983083385","https://openalex.org/W1983695700","https://openalex.org/W2007241134","https://openalex.org/W2012978909","https://openalex.org/W2024544462","https://openalex.org/W2039893471","https://openalex.org/W2040049909","https://openalex.org/W2053496165","https://openalex.org/W2053521124","https://openalex.org/W2082819064","https://openalex.org/W2090697566","https://openalex.org/W2114190816","https://openalex.org/W2121185552","https://openalex.org/W2121310563","https://openalex.org/W2133001976","https://openalex.org/W2144256528","https://openalex.org/W2164827594","https://openalex.org/W2166194781","https://openalex.org/W2169103119","https://openalex.org/W2169668938","https://openalex.org/W2170411504","https://openalex.org/W2187647323","https://openalex.org/W2195693430","https://openalex.org/W2237222338","https://openalex.org/W2263461285","https://openalex.org/W2492916719","https://openalex.org/W2493309683","https://openalex.org/W2519911819","https://openalex.org/W2554187790","https://openalex.org/W2554860421","https://openalex.org/W2593105899","https://openalex.org/W2604698298","https://openalex.org/W2626969285","https://openalex.org/W2765423823","https://openalex.org/W2810871807"],"related_works":["https://openalex.org/W2519911819","https://openalex.org/W1583767716","https://openalex.org/W2109234326","https://openalex.org/W2155682574","https://openalex.org/W2578846568","https://openalex.org/W2039893471","https://openalex.org/W3028568639","https://openalex.org/W2388495612","https://openalex.org/W3126424621","https://openalex.org/W7098189400"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"derive":[4],"exact":[5],"symbol":[6,24],"error":[7],"probability":[8],"(SEP)":[9],"expressions":[10,38],"for":[11,41,170],"orthogonal":[12],"frequency-division":[13],"multiplexing":[14],"(OFDM)":[15],"based":[16,117,130,166],"on":[17,118,131,146,167],"discrete":[18,132],"fractional":[19],"Fourier":[20,133],"transform":[21,134],"(DFrFT)":[22],"when":[23],"timing":[25],"offset":[26,31],"(STO)":[27],"and":[28,50,99,144],"carrier":[29],"frequency":[30,62,103],"(CFO)":[32],"are":[33,39,181],"present":[34],"together.":[35],"Closed":[36],"form":[37],"derived":[40,189],"binary":[42],"phase":[43,47,100],"shift":[44,48],"keying,":[45,49],"quadrature":[46,52],"16-ary":[51],"amplitude":[53],"modulation":[54],"in":[55,72,102],"the":[56,74,79,82,89,106,139,147,160,168,174,185,188],"case":[57],"of":[58,76,91,142,149,173,187],"transmission":[59],"over":[60],"a":[61,150],"selective":[63],"Rayleigh":[64],"fading":[65],"channel.":[66],"As":[67],"it":[68],"is":[69,110,120,154],"well":[70,111],"known,":[71],"OFDM":[73,115,152,162],"presence":[75,90],"CFO":[77,127,143],"destroys":[78],"orthogonality":[80],"between":[81,96],"sub-carriers,":[83],"generating":[84],"inter-carrier":[85],"interference":[86],"(ICI),":[87],"while":[88],"STO":[92,145],"introduces":[93],"intersymbol":[94],"interference,":[95],"successive":[97],"symbols,":[98],"rotations":[101],"domain,":[104],"within":[105],"same":[107],"symbol.":[108],"It":[109],"recognized":[112],"that":[113,129,159,165],"an":[114],"system":[116,153,163],"DFrFT":[119,175],"more":[121],"robust":[122],"to":[123,183],"ICI":[124],"introduced":[125],"by":[126,137],"than":[128],"(DFT).":[135],"Motivated":[136],"this,":[138],"combined":[140],"effect":[141],"SEP":[148],"DFrFT-based":[151,161],"analyzed.":[155],"Our":[156],"results":[157],"show":[158],"outperforms":[164],"DFT":[169],"different":[171],"values":[172],"\u201cangle":[176],"parameter.\u201d":[177],"Monte":[178],"Carlo":[179],"simulations":[180],"used":[182],"demonstrate":[184],"correctness":[186],"analytical":[190],"expressions.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":4}],"updated_date":"2026-10-15T10:00:46.086208","created_date":"2018-11-29T00:00:00"}
