{"id":"https://openalex.org/W2024832005","doi":"https://doi.org/10.1109/apsipa.2013.6694148","title":"The split-radix fast Fourier transforms with radix-4 butterfly units","display_name":"The split-radix fast Fourier transforms with radix-4 butterfly units","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2024832005","doi":"https://doi.org/10.1109/apsipa.2013.6694148","mag":"2024832005"},"language":"en","primary_location":{"id":"doi:10.1109/apsipa.2013.6694148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apsipa.2013.6694148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference","raw_type":"proceedings-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/A5054764523","display_name":"Sian-Jheng Lin","orcid":"https://orcid.org/0000-0002-6309-2876"},"institutions":[{"id":"https://openalex.org/I29955533","display_name":"Center for Information Technology","ror":"https://ror.org/03jh5a977","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I29955533"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sian-Jheng Lin","raw_affiliation_strings":["Research Center for Information Technology, Academia Sinica, Taipei City, Taiwan, R.O.C","Res. Center for Inf. Technol., Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Research Center for Information Technology, Academia Sinica, Taipei City, Taiwan, R.O.C","institution_ids":[]},{"raw_affiliation_string":"Res. Center for Inf. Technol., Taipei, Taiwan","institution_ids":["https://openalex.org/I29955533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035844880","display_name":"Wei\u2010Ho Chung","orcid":"https://orcid.org/0000-0002-3041-7398"},"institutions":[{"id":"https://openalex.org/I29955533","display_name":"Center for Information Technology","ror":"https://ror.org/03jh5a977","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I29955533"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei-Ho Chung","raw_affiliation_strings":["Research Center for Information Technology, Academia Sinica, Taipei City, Taiwan, R.O.C","Res. Center for Inf. Technol., Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Research Center for Information Technology, Academia Sinica, Taipei City, Taiwan, R.O.C","institution_ids":[]},{"raw_affiliation_string":"Res. Center for Inf. Technol., Taipei, Taiwan","institution_ids":["https://openalex.org/I29955533"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054764523"],"corresponding_institution_ids":["https://openalex.org/I29955533"],"apc_list":null,"apc_paid":null,"fwci":0.6431,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.68083021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9993000030517578,"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":0.9993000030517578,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/radix","display_name":"Radix (gastropod)","score":0.8612606525421143},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.8290507793426514},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.7336899042129517},{"id":"https://openalex.org/keywords/prime-factor-fft-algorithm","display_name":"Prime-factor FFT algorithm","score":0.7303775548934937},{"id":"https://openalex.org/keywords/raders-fft-algorithm","display_name":"Rader's FFT algorithm","score":0.6168254017829895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6075415015220642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6023099422454834},{"id":"https://openalex.org/keywords/cooley\u2013tukey-fft-algorithm","display_name":"Cooley\u2013Tukey FFT algorithm","score":0.5665884017944336},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4911331832408905},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4322485029697418},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.40082448720932007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3332666754722595},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.2513464689254761},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.13693556189537048},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.07631400227546692}],"concepts":[{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.8612606525421143},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.8290507793426514},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.7336899042129517},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.7303775548934937},{"id":"https://openalex.org/C69598009","wikidata":"https://www.wikidata.org/wiki/Q7280126","display_name":"Rader's FFT algorithm","level":5,"score":0.6168254017829895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6075415015220642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6023099422454834},{"id":"https://openalex.org/C1370844","wikidata":"https://www.wikidata.org/wiki/Q5167446","display_name":"Cooley\u2013Tukey FFT algorithm","level":3,"score":0.5665884017944336},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4911331832408905},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4322485029697418},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.40082448720932007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3332666754722595},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2513464689254761},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.13693556189537048},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.07631400227546692},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/apsipa.2013.6694148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apsipa.2013.6694148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.677.201","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.677.201","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.citi.sinica.edu.tw/papers/whc/3551-F.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W200555411","https://openalex.org/W1555715953","https://openalex.org/W1870590056","https://openalex.org/W1989739006","https://openalex.org/W2002306823","https://openalex.org/W2061171222","https://openalex.org/W2106805276","https://openalex.org/W2135031801","https://openalex.org/W2144412928"],"related_works":["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/W3046243388","https://openalex.org/W1984254719","https://openalex.org/W2031343199"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"split":[3,39,53],"radix":[4,29,40,54],"fast":[5],"Fourier":[6],"transform":[7],"(FFT)":[8],"algorithm":[9,20,25,45,67],"consisting":[10],"of":[11,17,27],"radix-4":[12,62],"butterflies.":[13],"The":[14,23,43,65],"major":[15],"advantages":[16],"the":[18,37,52,61,70,79],"proposed":[19,24,44,66],"include:":[21],"i).":[22],"consists":[26],"mixed":[28],"butterflies,":[30],"whose":[31],"structure":[32],"is":[33,46,57,68],"more":[34],"regular":[35],"than":[36,60,78],"conventional":[38,80],"algorithm.":[41],"ii).":[42],"asymptomatically":[47],"equal":[48],"computation":[49],"amount":[50],"to":[51],"algorithm,":[55],"and":[56],"fewer":[58],"operations":[59],"algorithms.":[63,82],"iii).":[64],"in":[69],"conjugate-pair":[71],"version,":[72],"which":[73],"requires":[74],"less":[75],"memory":[76],"access":[77],"FFT":[81]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}