{"id":"https://openalex.org/W4246112852","doi":"https://doi.org/10.1007/978-0-387-09766-4_2296","title":"Fast Algorithm for the Discrete Fourier Transform (DFT)","display_name":"Fast Algorithm for the Discrete Fourier Transform (DFT)","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W4246112852","doi":"https://doi.org/10.1007/978-0-387-09766-4_2296"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-09766-4_2296","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09766-4_2296","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Parallel Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5113485480","display_name":"David Padua","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Padua","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113485480"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42014838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"671","last_page":"671"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.5192000269889832,"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":0.5192000269889832,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.7733944058418274},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5867684483528137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5072447657585144},{"id":"https://openalex.org/keywords/cyclotomic-fast-fourier-transform","display_name":"Cyclotomic fast Fourier transform","score":0.4665009379386902},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4591812789440155},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4566558599472046},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.41735637187957764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2890092432498932},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.20560988783836365},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.18447908759117126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09359186887741089}],"concepts":[{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.7733944058418274},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5867684483528137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5072447657585144},{"id":"https://openalex.org/C43060483","wikidata":"https://www.wikidata.org/wiki/Q17006372","display_name":"Cyclotomic fast Fourier transform","level":5,"score":0.4665009379386902},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4591812789440155},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4566558599472046},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.41735637187957764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2890092432498932},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.20560988783836365},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.18447908759117126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09359186887741089}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-09766-4_2296","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09766-4_2296","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Parallel Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W614735940","https://openalex.org/W1952542430","https://openalex.org/W2026244262","https://openalex.org/W2128159162","https://openalex.org/W3126238602","https://openalex.org/W1974963296","https://openalex.org/W2006724675","https://openalex.org/W3010565475","https://openalex.org/W1976055929","https://openalex.org/W2154006536"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}