{"id":"https://openalex.org/W4388286247","doi":"https://doi.org/10.1109/tit.2023.3329804","title":"Fast DFT Computation for Signals With Structured Support","display_name":"Fast DFT Computation for Signals With Structured Support","publication_year":2023,"publication_date":"2023-11-03","ids":{"openalex":"https://openalex.org/W4388286247","doi":"https://doi.org/10.1109/tit.2023.3329804"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3329804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3329804","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":null,"display_name":"Charantej Reddy Pochimireddy","orcid":"https://orcid.org/0000-0002-2565-7696"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Charantej Reddy Pochimireddy","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Hyderabad, Hyderabad, India"],"raw_orcid":"https://orcid.org/0000-0002-2565-7696","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Hyderabad, Hyderabad, India","institution_ids":["https://openalex.org/I65181880"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071798008","display_name":"Aditya Siripuram","orcid":"https://orcid.org/0000-0002-8210-7113"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Aditya Siripuram","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Hyderabad, Hyderabad, India"],"raw_orcid":"https://orcid.org/0000-0002-8210-7113","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Hyderabad, Hyderabad, India","institution_ids":["https://openalex.org/I65181880"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081621247","display_name":"Brad Osgood","orcid":"https://orcid.org/0000-0001-9186-0732"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brad Osgood","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-9186-0732","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3997,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56758748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"70","issue":"2","first_page":"1498","last_page":"1524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9948999881744385,"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/T10232","display_name":"Optical Network Technologies","score":0.9898999929428101,"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/computer-science","display_name":"Computer science","score":0.47466352581977844},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.44238829612731934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36806559562683105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30475205183029175},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26003843545913696}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47466352581977844},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.44238829612731934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36806559562683105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30475205183029175},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26003843545913696}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3329804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3329804","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":[{"id":"https://openalex.org/F4320308258","display_name":"Qualcomm","ror":"https://ror.org/002zrf773"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1548850187","https://openalex.org/W1552563049","https://openalex.org/W1966904279","https://openalex.org/W1979190704","https://openalex.org/W1983695700","https://openalex.org/W1995696964","https://openalex.org/W1998368223","https://openalex.org/W2009600348","https://openalex.org/W2027360963","https://openalex.org/W2035700719","https://openalex.org/W2036977373","https://openalex.org/W2038583166","https://openalex.org/W2058426737","https://openalex.org/W2061171222","https://openalex.org/W2062411789","https://openalex.org/W2063753890","https://openalex.org/W2068728923","https://openalex.org/W2080612162","https://openalex.org/W2095575865","https://openalex.org/W2107625832","https://openalex.org/W2112094394","https://openalex.org/W2125680629","https://openalex.org/W2154533197","https://openalex.org/W2160900467","https://openalex.org/W2168156431","https://openalex.org/W2171162943","https://openalex.org/W2329953612","https://openalex.org/W2332687951","https://openalex.org/W2516153412","https://openalex.org/W2586885375","https://openalex.org/W2885907809","https://openalex.org/W2904838066","https://openalex.org/W2912209775","https://openalex.org/W2951713942","https://openalex.org/W2962847569","https://openalex.org/W2967205996","https://openalex.org/W3049415983","https://openalex.org/W3102885706","https://openalex.org/W3129757672","https://openalex.org/W3196729018","https://openalex.org/W4205775949","https://openalex.org/W4231916799","https://openalex.org/W4292957661","https://openalex.org/W4316652340","https://openalex.org/W4386468261","https://openalex.org/W4389255152","https://openalex.org/W6606131910","https://openalex.org/W6650076440","https://openalex.org/W6842791351"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Suppose":[0],"an$N-$length":[1],"signal":[2],"has":[3],"known":[4],"frequency":[5,34,40,73,109],"support":[6,86,110],"of":[7,13,32,62,69,106],"size$k$.":[8],"Given":[9],"access":[10],"to":[11,25,54,82],"samples":[12],"this":[14,26],"signal,":[15],"how":[16],"fast":[17],"can":[18,48],"we":[19,52,98],"compute":[20],"the":[21,30,33,63,90,104],"DFT?":[22],"The":[23],"answer":[24],"question":[27],"depends":[28],"on":[29],"structure":[31],"support.":[35,74],"We":[36,58,75,114],"first":[37],"identify":[38],"some":[39],"supports":[41],"for":[42,88,102],"which":[43,51,89],"(an":[44],"ideal)$O(k":[45],"\\log":[46],"k)$complexity":[47],"be":[49],"achieved,":[50],"refer":[53],"as":[55,79],"homogeneous":[56,72,77],"sets.":[57],"give":[59],"a":[60],"generalization":[61],"radix-2":[64],"FFT":[65],"that":[66],"enables$O(k\\log":[67],"k)$computation":[68],"signals":[70,107],"with":[71],"use":[76],"sets":[78],"building":[80],"blocks":[81],"construct":[83],"more":[84],"complex":[85],"structures":[87],"complexity":[91],"of$O(k\\log":[92],"k)$is":[93],"achievable.":[94],"Applying":[95],"these":[96],"ideas,":[97],"present":[99,116],"an$O(k\\log":[100],"^{2}k)$algorithm":[101],"computing":[103],"DFT":[105],"whose":[108],"is":[111],"additively":[112],"structured.":[113],"also":[115],"partial":[117],"converses.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2023-11-04T00:00:00"}
