{"id":"https://openalex.org/W2053466459","doi":"https://doi.org/10.1109/tvlsi.2015.2408621","title":"Fault Tolerant Parallel FFTs Using Error Correction Codes and Parseval Checks","display_name":"Fault Tolerant Parallel FFTs Using Error Correction Codes and Parseval Checks","publication_year":2015,"publication_date":"2015-03-11","ids":{"openalex":"https://openalex.org/W2053466459","doi":"https://doi.org/10.1109/tvlsi.2015.2408621","mag":"2053466459"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2015.2408621","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2015.2408621","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"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 Very Large Scale Integration (VLSI) Systems","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/A5054396881","display_name":"Zhen Gao","orcid":"https://orcid.org/0000-0002-2709-0216"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Gao","raw_affiliation_strings":["School of Electronic Information Engineering, Tianjin University, Tianjin, China","school of Electronic Information Engineering, Tianjin University, Tianjin, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"school of Electronic Information Engineering, Tianjin University, Tianjin, China#TAB#","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080322790","display_name":"Pedro Reviriego","orcid":"https://orcid.org/0000-0003-2540-5234"},"institutions":[{"id":"https://openalex.org/I3020445194","display_name":"Universidad Nebrija","ror":"https://ror.org/03tzyrt94","country_code":"ES","type":"education","lineage":["https://openalex.org/I3020445194"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Reviriego","raw_affiliation_strings":["Universidad Antonio de Nebrija, Madrid, Spain",", Universidad Antonio de Nebrija, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Antonio de Nebrija, Madrid, Spain","institution_ids":["https://openalex.org/I3020445194"]},{"raw_affiliation_string":", Universidad Antonio de Nebrija, Madrid, Spain","institution_ids":["https://openalex.org/I3020445194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050256911","display_name":"Zhan Xu","orcid":"https://orcid.org/0000-0001-5301-9600"},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhan Xu","raw_affiliation_strings":["School of Information and Communication Engineering, Beijing Information Science and Technology University, Beijing, China","[School of Information and Communication Engineering, Beijing Information Science & Technology University, Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Beijing Information Science and Technology University, Beijing, China","institution_ids":["https://openalex.org/I78675632"]},{"raw_affiliation_string":"[School of Information and Communication Engineering, Beijing Information Science & Technology University, Beijing, China]","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100640055","display_name":"Xin Su","orcid":"https://orcid.org/0000-0002-5979-8702"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Su","raw_affiliation_strings":["Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","[Tsinghua National Laboratory for Information Science & Technology, Tsinghua University, Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Tsinghua National Laboratory for Information Science & Technology, Tsinghua University, Beijing, China]","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103197618","display_name":"Ming Zhao","orcid":"https://orcid.org/0000-0003-4126-3678"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Zhao","raw_affiliation_strings":["Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","[Tsinghua National Laboratory for Information Science & Technology, Tsinghua University, Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Tsinghua National Laboratory for Information Science & Technology, Tsinghua University, Beijing, China]","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117357835","display_name":"Jing Wang","orcid":"https://orcid.org/0009-0000-0505-6482"},"institutions":[{"id":"https://openalex.org/I3020445194","display_name":"Universidad Nebrija","ror":"https://ror.org/03tzyrt94","country_code":"ES","type":"education","lineage":["https://openalex.org/I3020445194"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["Universidad Antonio de Nebrija, Madrid, Spain",", Universidad Antonio de Nebrija, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Antonio de Nebrija, Madrid, Spain","institution_ids":["https://openalex.org/I3020445194"]},{"raw_affiliation_string":", Universidad Antonio de Nebrija, Madrid, Spain","institution_ids":["https://openalex.org/I3020445194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044495372","display_name":"Juan Antonio Maestro","orcid":"https://orcid.org/0000-0001-7133-9026"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Antonio Maestro","raw_affiliation_strings":["Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","[Tsinghua National Laboratory for Information Science & Technology, Tsinghua University, Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Tsinghua National Laboratory for Information Science & Technology, Tsinghua University, Beijing, China]","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5549,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.84836176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"24","issue":"2","first_page":"769","last_page":"773"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11005","display_name":"Radiation Effects in Electronics","score":1.0,"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/T11005","display_name":"Radiation Effects in Electronics","score":1.0,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.996399998664856,"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/parsevals-theorem","display_name":"Parseval's theorem","score":0.8977953195571899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7947716116905212},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.5736249685287476},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5719671845436096},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5070428848266602},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.4881964325904846},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4628011882305145},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.45959505438804626},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4573790729045868},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.42964133620262146},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4118536114692688},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35475021600723267},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.27189764380455017},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.22586902976036072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11088714003562927},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07973426580429077}],"concepts":[{"id":"https://openalex.org/C89451469","wikidata":"https://www.wikidata.org/wiki/Q1443036","display_name":"Parseval's theorem","level":5,"score":0.8977953195571899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7947716116905212},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.5736249685287476},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5719671845436096},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5070428848266602},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.4881964325904846},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4628011882305145},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.45959505438804626},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4573790729045868},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.42964133620262146},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4118536114692688},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35475021600723267},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.27189764380455017},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.22586902976036072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11088714003562927},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07973426580429077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2015.2408621","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2015.2408621","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"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 Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1415541741","display_name":null,"funder_award_id":"4110001","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G6120429113","display_name":null,"funder_award_id":"2012CB316000","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G68352113","display_name":null,"funder_award_id":"61402044","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W571536966","https://openalex.org/W1481646516","https://openalex.org/W1490674876","https://openalex.org/W1497850294","https://openalex.org/W1686640489","https://openalex.org/W1980073965","https://openalex.org/W1996708669","https://openalex.org/W2010486780","https://openalex.org/W2018533230","https://openalex.org/W2042544282","https://openalex.org/W2062470986","https://openalex.org/W2103973486","https://openalex.org/W2107740459","https://openalex.org/W2119207405","https://openalex.org/W2137504933","https://openalex.org/W2152652532","https://openalex.org/W2158612529","https://openalex.org/W2160451204","https://openalex.org/W2342204193","https://openalex.org/W2410000325","https://openalex.org/W4254291898","https://openalex.org/W4293263215"],"related_works":["https://openalex.org/W2495194047","https://openalex.org/W1522297789","https://openalex.org/W2164846160","https://openalex.org/W1983104818","https://openalex.org/W2391387784","https://openalex.org/W2951524812","https://openalex.org/W2116314988","https://openalex.org/W2394408226","https://openalex.org/W4389168214","https://openalex.org/W4366457933"],"abstract_inverted_index":{"Soft":[0],"errors":[1,15,94],"pose":[2],"a":[3,16,77,131],"reliability":[4],"threat":[5],"to":[6,29,39,48,53,90,123,137,155],"modern":[7,116],"electronic":[8],"circuits.":[9],"This":[10],"makes":[11],"protection":[12,85,161],"against":[13],"soft":[14],"requirement":[17],"for":[18,66],"many":[19,82],"applications.":[20],"Communications":[21],"and":[22,55,60,92,171,176],"signal":[23],"processing":[24,59],"systems":[25],"are":[26,63,76,174],"no":[27],"exceptions":[28],"this":[30,135,148,150],"trend.":[31],"For":[32],"some":[33],"applications,":[34],"an":[35],"interesting":[36],"option":[37],"is":[38,70,110,120,152],"use":[40,101,166],"algorithmic-based":[41],"fault":[42,139],"tolerance":[43,140],"(ABFT)":[44],"techniques":[45],"that":[46,75,133,163,181],"try":[47],"exploit":[49],"the":[50,100,103,111,165,182,188],"algorithmic":[51],"properties":[52],"detect":[54,91],"correct":[56,93],"errors.":[57],"Signal":[58],"communication":[61,117],"applications":[62],"well":[64],"suited":[65],"ABFT.":[67],"One":[68],"example":[69],"fast":[71],"Fourier":[72],"transforms":[73],"(FFTs)":[74],"key":[78],"building":[79],"block":[80],"in":[81,95,128],"systems.":[83],"Several":[84],"schemes":[86,162,184],"have":[87],"been":[88,145],"proposed":[89,175,183],"FFTs.":[96,157],"Among":[97],"those,":[98],"probably":[99],"of":[102,107,167,191],"Parseval":[104,172],"or":[105],"sum":[106],"squares":[108],"check":[109],"most":[112],"widely":[113],"known.":[114],"In":[115,147],"systems,":[118],"it":[119],"increasingly":[121],"common":[122],"find":[124],"several":[125],"blocks":[126],"operating":[127],"parallel.":[129],"Recently,":[130],"technique":[132,151],"exploits":[134],"fact":[136],"implement":[138],"on":[141],"parallel":[142],"filters":[143],"has":[144],"proposed.":[146],"brief,":[149],"first":[153],"applied":[154],"protect":[156],"Then,":[158],"two":[159],"improved":[160],"combine":[164],"error":[168],"correction":[169],"codes":[170],"checks":[173],"evaluated.":[177],"The":[178],"results":[179],"show":[180],"can":[185],"further":[186],"reduce":[187],"implementation":[189],"cost":[190],"protection.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}