{"id":"https://openalex.org/W2137367115","doi":"https://doi.org/10.1109/icassp.1984.1172660","title":"An in-order, in-place radix-2 FFT","display_name":"An in-order, in-place radix-2 FFT","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W2137367115","doi":"https://doi.org/10.1109/icassp.1984.1172660","mag":"2137367115"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1984.1172660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1984.1172660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5111668184","display_name":"Howard Johnson","orcid":null},"institutions":[{"id":"https://openalex.org/I1296127346","display_name":"Broadcom (Israel)","ror":"https://ror.org/01jsrac29","country_code":"IL","type":"company","lineage":["https://openalex.org/I1296127346","https://openalex.org/I4210127325"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"H. Johnson","raw_affiliation_strings":["ROLM Corporation, Santa Clara, CA, USA","Rolm Corporation (Santa Clara, CA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ROLM Corporation, Santa Clara, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Rolm Corporation (Santa Clara, CA)","institution_ids":["https://openalex.org/I1296127346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020160495","display_name":"C.S. Burrus","orcid":null},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Burrus","raw_affiliation_strings":["Department of Electrical Engineering, Rice University, Houston, TX, USA","[Department of Electrical Engineering, Rice University, Houston, TX, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"[Department of Electrical Engineering, Rice University, Houston, TX, USA]","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"473","last_page":"476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9789999723434448,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9789999723434448,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9757000207901001,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.9511798024177551},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.8276851177215576},{"id":"https://openalex.org/keywords/raders-fft-algorithm","display_name":"Rader's FFT algorithm","score":0.7526409029960632},{"id":"https://openalex.org/keywords/prime-factor-fft-algorithm","display_name":"Prime-factor FFT algorithm","score":0.7372667789459229},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5948284864425659},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.564862072467804},{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.5611391663551331},{"id":"https://openalex.org/keywords/cooley\u2013tukey-fft-algorithm","display_name":"Cooley\u2013Tukey FFT algorithm","score":0.5565977692604065},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.5516355037689209},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.44502660632133484},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4375460743904114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3956487476825714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.316862016916275},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.22000890970230103},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11686217784881592},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.0892907977104187}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.9511798024177551},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.8276851177215576},{"id":"https://openalex.org/C69598009","wikidata":"https://www.wikidata.org/wiki/Q7280126","display_name":"Rader's FFT algorithm","level":5,"score":0.7526409029960632},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.7372667789459229},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5948284864425659},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.564862072467804},{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.5611391663551331},{"id":"https://openalex.org/C1370844","wikidata":"https://www.wikidata.org/wiki/Q5167446","display_name":"Cooley\u2013Tukey FFT algorithm","level":3,"score":0.5565977692604065},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.5516355037689209},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.44502660632133484},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4375460743904114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3956487476825714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.316862016916275},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.22000890970230103},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11686217784881592},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0892907977104187},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1984.1172660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1984.1172660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2121362046","https://openalex.org/W2162611351"],"related_works":["https://openalex.org/W2149121524","https://openalex.org/W2042527476","https://openalex.org/W2144412928","https://openalex.org/W4246835537","https://openalex.org/W2554524608","https://openalex.org/W2977460836","https://openalex.org/W2012363129","https://openalex.org/W3046688035","https://openalex.org/W2200032781","https://openalex.org/W3046243388"],"abstract_inverted_index":{"Most":[0],"Cooley-Tukey,":[1],"in-place":[2],"Fast":[3],"Fourier":[4],"Transform":[5],"(FFT)":[6],"algorithms":[7],"result":[8],"in":[9,16,110],"the":[10,30,33,36,39,57,70,73,97,115,119,122],"output":[11],"being":[12,76],"permuted":[13],"or":[14],"scrambled":[15],"order.":[17],"For":[18],"a":[19,43,81],"radix-2":[20,66,124],"FFT,":[21],"this":[22,49],"order":[23,31],"can":[24],"be":[25],"easily":[26],"found":[27],"by":[28],"reversing":[29],"of":[32,35,56,114],"bits":[34],"address,":[37],"and":[38,93],"unscrambler":[40],"is":[41,75,87,108,117],"called":[42],"bit-reversed":[44,128],"counter.":[45,129],"In":[46],"some":[47],"machines,":[48],"unscrambling":[50,71],"takes":[51],"from":[52],"10%":[53],"to":[54],"50%":[55],"total":[58],"execution":[59],"time.":[60],"This":[61],"paper":[62],"presents":[63],"an":[64],"in-place,":[65,98],"FFT":[67,74,102,125],"that":[68],"does":[69],"while":[72],"calculated":[77],"rather":[78],"than":[79],"as":[80,121],"separate":[82],"process.":[83],"The":[84,105,112],"theoretical":[85],"framework":[86],"based":[88],"on":[89,96],"index":[90],"maps":[91],"[1]":[92],"ideas":[94],"used":[95],"in-order":[99],"prime":[100],"factor":[101],"(PFA)":[103],"[2].":[104],"non-scrambled":[106],"algorithm":[107],"implemented":[109],"FORTRAN.":[111],"size":[113],"program":[116],"essentially":[118],"same":[120],"regular":[123],"with":[126],"its":[127]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
