{"id":"https://openalex.org/W2036812077","doi":"https://doi.org/10.1109/tassp.1986.1164804","title":"On computing the split-radix FFT","display_name":"On computing the split-radix FFT","publication_year":1986,"publication_date":"1986-02-01","ids":{"openalex":"https://openalex.org/W2036812077","doi":"https://doi.org/10.1109/tassp.1986.1164804","mag":"2036812077"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1986.1164804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1986.1164804","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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/A5059355730","display_name":"H.V. Sorensen","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":"H. Sorensen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","Rice University (Houston, TX)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Rice University (Houston, TX)","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021877117","display_name":"Michael T. Heideman","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":"M. Heideman","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","Dept. of Electrical & Computer Eng., Rice University, Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Dept. of Electrical & Computer Eng., Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"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 and Computer Engineering, Rice University, Houston, TX, USA","Dept. of Electrical & Computer Eng., Rice University, Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Dept. of Electrical & Computer Eng., Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":null,"apc_paid":null,"fwci":7.6378,"has_fulltext":false,"cited_by_count":237,"citation_normalized_percentile":{"value":0.9811617,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"34","issue":"1","first_page":"152","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9923999905586243,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.925045371055603},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.7530701160430908},{"id":"https://openalex.org/keywords/raders-fft-algorithm","display_name":"Rader's FFT algorithm","score":0.6667059659957886},{"id":"https://openalex.org/keywords/decimation","display_name":"Decimation","score":0.6646308898925781},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.6530154347419739},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6050761938095093},{"id":"https://openalex.org/keywords/prime-factor-fft-algorithm","display_name":"Prime-factor FFT algorithm","score":0.5866384506225586},{"id":"https://openalex.org/keywords/twiddle-factor","display_name":"Twiddle factor","score":0.5117354393005371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.498396635055542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46334418654441833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3755159378051758},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3447057902812958},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.11454439163208008},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.11108341813087463},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.10710039734840393}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.925045371055603},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.7530701160430908},{"id":"https://openalex.org/C69598009","wikidata":"https://www.wikidata.org/wiki/Q7280126","display_name":"Rader's FFT algorithm","level":5,"score":0.6667059659957886},{"id":"https://openalex.org/C173642442","wikidata":"https://www.wikidata.org/wiki/Q1253346","display_name":"Decimation","level":3,"score":0.6646308898925781},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.6530154347419739},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6050761938095093},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.5866384506225586},{"id":"https://openalex.org/C4697666","wikidata":"https://www.wikidata.org/wiki/Q7857913","display_name":"Twiddle factor","level":5,"score":0.5117354393005371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.498396635055542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46334418654441833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3755159378051758},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3447057902812958},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.11454439163208008},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.11108341813087463},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.10710039734840393},{"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/tassp.1986.1164804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1986.1164804","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1487564550","https://openalex.org/W1581345759","https://openalex.org/W1989739006","https://openalex.org/W1997654368","https://openalex.org/W2020253731","https://openalex.org/W2028911956","https://openalex.org/W2061171222","https://openalex.org/W2078104849","https://openalex.org/W2084466783","https://openalex.org/W2095296829","https://openalex.org/W2099490452","https://openalex.org/W2106805276","https://openalex.org/W2121362046","https://openalex.org/W2126172705","https://openalex.org/W2583325235","https://openalex.org/W4233622498","https://openalex.org/W4244434309","https://openalex.org/W4254389654"],"related_works":["https://openalex.org/W1984254719","https://openalex.org/W2031343199","https://openalex.org/W2149121524","https://openalex.org/W2151986570","https://openalex.org/W2547585993","https://openalex.org/W2061302196","https://openalex.org/W2144412928","https://openalex.org/W2131706490","https://openalex.org/W4233149196","https://openalex.org/W1586388093"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"efficient":[4],"Fortran":[5],"program":[6,42],"that":[7,18,27,64],"computes":[8],"the":[9,24,32,52,56,66,75],"Duhamel-Hollmann":[10],"split-radix":[11,25,67,70],"FFT.":[12,35,68],"An":[13,45],"indexing":[14],"scheme":[15],"is":[16,28,48],"used":[17],"gives":[19],"a":[20,37,40],"three-loop":[21],"structure":[22],"for":[23],"FFT":[26,58,71],"very":[29],"similar":[30],"to":[31,50,63,73],"conventional":[33],"Cooley-Tukey":[34,57],"Both":[36],"decimation-in-frequency":[38],"and":[39],"decimation-in-time":[41],"are":[43],"presented.":[44],"arithmetic":[46,78],"analysis":[47],"made":[49],"compare":[51],"operation":[53],"count":[54],"of":[55,65,79],"fo":[59],"several":[60],"different":[61],"radixes":[62],"The":[69],"seems":[72],"require":[74],"least":[76],"total":[77],"any":[80],"power-of-two":[81],"DFT":[82],"algorithm.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}