{"id":"https://openalex.org/W4220987793","doi":"https://doi.org/10.1109/tcsi.2022.3159803","title":"One-Step Calculation Circuit of FFT and Its Application","display_name":"One-Step Calculation Circuit of FFT and Its Application","publication_year":2022,"publication_date":"2022-03-23","ids":{"openalex":"https://openalex.org/W4220987793","doi":"https://doi.org/10.1109/tcsi.2022.3159803"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2022.3159803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2022.3159803","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5033661455","display_name":"Yiyang Liu","orcid":"https://orcid.org/0000-0002-7236-4538"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yiyang Liu","raw_affiliation_strings":["College of Computer Science and Electronic Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100358099","display_name":"Chunhua Wang","orcid":"https://orcid.org/0000-0001-6522-9795"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunhua Wang","raw_affiliation_strings":["College of Computer Science and Electronic Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074448271","display_name":"Jingru Sun","orcid":"https://orcid.org/0000-0001-9474-7778"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingru Sun","raw_affiliation_strings":["College of Computer Science and Electronic Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024965739","display_name":"Sichun Du","orcid":"https://orcid.org/0000-0002-4718-8042"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sichun Du","raw_affiliation_strings":["College of Computer Science and Electronic Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052210009","display_name":"Qinghui Hong","orcid":"https://orcid.org/0000-0002-6210-6033"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinghui Hong","raw_affiliation_strings":["College of Computer Science and Electronic Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5033661455"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":1.9208,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.85504204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"69","issue":"7","first_page":"2781","last_page":"2793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","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/T10502","display_name":"Advanced Memory and Neural Computing","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/T10320","display_name":"Neural Networks and Applications","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.9015620946884155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6947904825210571},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.6049907207489014},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5380067825317383},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4963114857673645},{"id":"https://openalex.org/keywords/twiddle-factor","display_name":"Twiddle factor","score":0.4853593409061432},{"id":"https://openalex.org/keywords/raders-fft-algorithm","display_name":"Rader's FFT algorithm","score":0.4812052547931671},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.4667200446128845},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4645267426967621},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4636361002922058},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.2930218577384949},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.2855902314186096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2138095200061798},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.1756979525089264},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10466471314430237},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09614810347557068},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.09534108638763428}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.9015620946884155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6947904825210571},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.6049907207489014},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5380067825317383},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4963114857673645},{"id":"https://openalex.org/C4697666","wikidata":"https://www.wikidata.org/wiki/Q7857913","display_name":"Twiddle factor","level":5,"score":0.4853593409061432},{"id":"https://openalex.org/C69598009","wikidata":"https://www.wikidata.org/wiki/Q7280126","display_name":"Rader's FFT algorithm","level":5,"score":0.4812052547931671},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.4667200446128845},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4645267426967621},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4636361002922058},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2930218577384949},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.2855902314186096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2138095200061798},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.1756979525089264},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10466471314430237},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09614810347557068},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.09534108638763428},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2022.3159803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2022.3159803","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2430261878","display_name":null,"funder_award_id":"2021JJ40111","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G4643428911","display_name":null,"funder_award_id":"2020JJ4221","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G5690989117","display_name":null,"funder_award_id":"62001163","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1558137792","https://openalex.org/W1632838543","https://openalex.org/W1963965124","https://openalex.org/W1979233178","https://openalex.org/W1979555829","https://openalex.org/W1989739006","https://openalex.org/W2002306823","https://openalex.org/W2011596161","https://openalex.org/W2061171222","https://openalex.org/W2075357626","https://openalex.org/W2081556720","https://openalex.org/W2084466783","https://openalex.org/W2110846246","https://openalex.org/W2112181056","https://openalex.org/W2116285260","https://openalex.org/W2126172705","https://openalex.org/W2129959220","https://openalex.org/W2135031801","https://openalex.org/W2144660528","https://openalex.org/W2144895495","https://openalex.org/W2150039047","https://openalex.org/W2158491730","https://openalex.org/W2164834346","https://openalex.org/W2186857637","https://openalex.org/W2336946788","https://openalex.org/W2357859297","https://openalex.org/W2403887648","https://openalex.org/W2583325235","https://openalex.org/W2588325739","https://openalex.org/W2612842829","https://openalex.org/W2659961129","https://openalex.org/W2786799105","https://openalex.org/W2792967830","https://openalex.org/W2799873623","https://openalex.org/W2883875058","https://openalex.org/W2886068031","https://openalex.org/W2909375924","https://openalex.org/W2912186526","https://openalex.org/W2942723292","https://openalex.org/W2954865777","https://openalex.org/W2963293709","https://openalex.org/W2969472291","https://openalex.org/W2992612824","https://openalex.org/W3011627362","https://openalex.org/W3015487861","https://openalex.org/W3015762325","https://openalex.org/W3083681112","https://openalex.org/W3100446018","https://openalex.org/W3103436470","https://openalex.org/W3115498124","https://openalex.org/W3120400505","https://openalex.org/W3121535799","https://openalex.org/W3132099151","https://openalex.org/W3157860333","https://openalex.org/W6706155765","https://openalex.org/W6713462594"],"related_works":["https://openalex.org/W2149121524","https://openalex.org/W2031343199","https://openalex.org/W1984254719","https://openalex.org/W2151986570","https://openalex.org/W2547585993","https://openalex.org/W2056747123","https://openalex.org/W2958343630","https://openalex.org/W2144412928","https://openalex.org/W2351401773","https://openalex.org/W2154006536"],"abstract_inverted_index":{"Discrete":[0],"Fourier":[1,6],"Transform":[2,7],"(DFT)":[3],"and":[4,48,82,87,107,170],"Fast":[5],"(FFT)":[8],"are":[9,123],"core":[10],"components":[11],"in":[12,19,38,53,89,125],"the":[13,20,32,69,111,115,126,130,139,147,159,171],"field":[14],"of":[15,35,71,85,105,114],"signal":[16],"processing.":[17],"However,":[18],"existing":[21],"research,":[22],"there":[23],"is":[24,55,66,91,142],"no":[25],"fully":[26,75],"analog":[27,42,76],"circuit":[28,43,59,77,161],"that":[29,44,60,78,138],"can":[30,45,61,79,98,162,174],"realize":[31,62,80],"one-step":[33,54,90],"calculation":[34,148],"FFT.":[36],"Therefore,":[37],"this":[39,72],"paper,":[40],"an":[41],"calculate":[46],"FFT":[47,86,106],"its":[49],"inverse":[50],"transform":[51],"IFFT":[52,88,108],"proposed.":[56,92],"First,":[57],"a":[58,74],"complex":[63],"number":[64],"operations":[65],"designed.":[67],"On":[68],"basis":[70],"structure,":[73],"fast":[81],"efficient":[83],"computing":[84],"In":[93],"addition,":[94],"different":[95],"coefficient":[96],"matching":[97],"be":[99,163],"obtained":[100],"to":[101,128,165],"achieve":[102],"arbitrary":[103],"points":[104],"by":[109],"adjusting":[110],"resistance":[112],"value":[113],"memristor,":[116],"which":[117],"has":[118,150],"good":[119],"programmability.":[120],"Specific":[121],"examples":[122],"given":[124],"paper":[127],"evaluate":[129],"proposed":[131,160],"method.":[132],"The":[133],"PSPICE":[134],"simulation":[135],"results":[136],"show":[137],"average":[140,172],"accuracy":[141,173],"above":[143],"99.98%.":[144],"More":[145],"importantly,":[146],"speed":[149],"been":[151],"greatly":[152],"improved":[153],"compared":[154],"with":[155],"MATLAB":[156],"simulation.":[157],"Finally,":[158],"used":[164],"quickly":[166],"solve":[167],"convolution":[168],"operation,":[169],"reach":[175],"99.95%.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4}],"updated_date":"2026-02-25T23:00:34.991745","created_date":"2025-10-10T00:00:00"}