{"id":"https://openalex.org/W2134224523","doi":"https://doi.org/10.1109/tit.1978.1055938","title":"Space-time trade-offs on the FFT algorithm","display_name":"Space-time trade-offs on the FFT algorithm","publication_year":1978,"publication_date":"1978-09-01","ids":{"openalex":"https://openalex.org/W2134224523","doi":"https://doi.org/10.1109/tit.1978.1055938","mag":"2134224523"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1978.1055938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1978.1055938","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5109804540","display_name":"John E. Savage","orcid":null},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Savage","raw_affiliation_strings":["Computer Science and the Division of Engineering, Brown University, Providence, RI, USA","[Computer Science and the Division of Engineering, Brown University, Providence, RI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and the Division of Engineering, Brown University, Providence, RI, USA","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"[Computer Science and the Division of Engineering, Brown University, Providence, RI, USA]","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108520111","display_name":"S. Swamy","orcid":"https://orcid.org/0000-0002-5798-961X"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Swamy","raw_affiliation_strings":["Computer Science and the Division of Engineering, Brown University, Providence, RI, USA","[Computer Science and the Division of Engineering, Brown University, Providence, RI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and the Division of Engineering, Brown University, Providence, RI, USA","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"[Computer Science and the Division of Engineering, Brown University, Providence, RI, USA]","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.5691,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.98598793,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"24","issue":"5","first_page":"563","last_page":"568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.9991000294685364,"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/T10232","display_name":"Optical Network Technologies","score":0.9991000294685364,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9941999912261963,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4754369258880615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4507923722267151},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33329278230667114}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4754369258880615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4507923722267151},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33329278230667114}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1978.1055938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1978.1055938","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1491816185","https://openalex.org/W1551631489","https://openalex.org/W1996005255","https://openalex.org/W2044196316","https://openalex.org/W2061171222","https://openalex.org/W2062934582","https://openalex.org/W2063264061","https://openalex.org/W2067326774","https://openalex.org/W2110836275","https://openalex.org/W2126370441","https://openalex.org/W2420184380","https://openalex.org/W2535066816","https://openalex.org/W2911480877","https://openalex.org/W6629279260","https://openalex.org/W6667222273","https://openalex.org/W6667426362","https://openalex.org/W6757921438"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"The":[0],"performance":[1],"of":[2,35],"the":[3,22,53,91],"fast":[4,75],"Fourier":[5],"transfmm":[6],"algorithm":[7,23],"is":[8,18,37],"examined":[9],"under":[10],"limitations":[11],"on":[12,102],"computational":[13],"space":[14],"and":[15,110],"time.":[16],"It":[17],"shown":[19],"that":[20],"if":[21,80],"with":[24,39],"<tex":[25,29,40,46,56,62,69,77,81,87,103,107,111],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26,30,41,47,57,63,70,78,82,88,104,108,112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</tex>":[27,31,113],"inputs,":[28],"as":[32,74,76],"a":[33],"power":[34],"two,":[36],"implemented":[38],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">S</tex>":[42,109],"temporary":[43],"locations":[44],"where":[45,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">S=o(n/":[48],"\\log":[49,65],"n)</tex>":[50],",":[51,90],"then":[52],"computation":[54],"time":[55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</tex>":[58,71,105],"grows":[59],"faster":[60],"than":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n":[64],"n</tex>":[66],".":[67,114],"Furthermore,":[68],"can":[72],"grow":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n^{2}</tex>":[79],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">S=S_{min}":[83],"+":[84],"O(1)</tex>":[85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">S_{min}=l+\\log_{2}n</tex>":[89],"minimum":[92],"necessary.":[93],"These":[94],"results":[95],"are":[96],"obtained":[97],"by":[98],"deriving":[99],"tight":[100],"bounds":[101],"versus":[106]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}