{"id":"https://openalex.org/W2170462172","doi":"https://doi.org/10.1109/tcsii.2011.2164141","title":"Optimum Circuits for Bit Reversal","display_name":"Optimum Circuits for Bit Reversal","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2170462172","doi":"https://doi.org/10.1109/tcsii.2011.2164141","mag":"2170462172"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2011.2164141","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2164141","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-71782","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059222971","display_name":"Mario Garrido","orcid":"https://orcid.org/0000-0001-5739-3544"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Mario Garrido","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037543059","display_name":"Jes\u00fas Grajal","orcid":"https://orcid.org/0000-0001-8081-2815"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Grajal","raw_affiliation_strings":["Department of Signal, Systems and Radiocommunications, Universidad Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Signal, Systems and Radiocommunications, Universidad Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028423819","display_name":"Oscar Gustafsson","orcid":"https://orcid.org/0000-0003-3470-3911"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Oscar Gustafsson","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059222971"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":2.1436,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.88741766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"10","first_page":"657","last_page":"661"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991999864578247,"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":0.9991999864578247,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9975000023841858,"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/multiplexer","display_name":"Multiplexer","score":0.8933925628662109},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.6527500152587891},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6274635791778564},{"id":"https://openalex.org/keywords/bit","display_name":"Bit (key)","score":0.6252267360687256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6210878491401672},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.562996506690979},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.5387033224105835},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.517948567867279},{"id":"https://openalex.org/keywords/low-latency","display_name":"Low latency (capital markets)","score":0.5055248737335205},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.49826693534851074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4173526465892792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3641318678855896},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3458520770072937},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.3437168300151825},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.2431398332118988},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15350008010864258},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.12071368098258972},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10252246260643005},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.05421304702758789}],"concepts":[{"id":"https://openalex.org/C70970002","wikidata":"https://www.wikidata.org/wiki/Q189434","display_name":"Multiplexer","level":3,"score":0.8933925628662109},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.6527500152587891},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6274635791778564},{"id":"https://openalex.org/C117011727","wikidata":"https://www.wikidata.org/wiki/Q1278488","display_name":"Bit (key)","level":2,"score":0.6252267360687256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6210878491401672},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.562996506690979},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.5387033224105835},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.517948567867279},{"id":"https://openalex.org/C46637626","wikidata":"https://www.wikidata.org/wiki/Q6693015","display_name":"Low latency (capital markets)","level":2,"score":0.5055248737335205},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.49826693534851074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4173526465892792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3641318678855896},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3458520770072937},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3437168300151825},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.2431398332118988},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15350008010864258},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.12071368098258972},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10252246260643005},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.05421304702758789},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcsii.2011.2164141","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2164141","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.649.7295","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.649.7295","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://liu.diva-portal.org/smash/get/diva2:453943/FULLTEXT01.pdf","raw_type":"text"},{"id":"pmh:oai:DiVA.org:liu-71782","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-71782","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:liu-71782","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-71782","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1493818369","https://openalex.org/W1885307727","https://openalex.org/W1981165437","https://openalex.org/W2001449027","https://openalex.org/W2038228036","https://openalex.org/W2055816427","https://openalex.org/W2069942563","https://openalex.org/W2090657748","https://openalex.org/W2091993319","https://openalex.org/W2094677173","https://openalex.org/W2096675747","https://openalex.org/W2097755092","https://openalex.org/W2098815392","https://openalex.org/W2103295001","https://openalex.org/W2110872491","https://openalex.org/W2116285260","https://openalex.org/W2122681226","https://openalex.org/W2123544555","https://openalex.org/W2152113241","https://openalex.org/W2177363546","https://openalex.org/W2911727496","https://openalex.org/W6639417951"],"related_works":["https://openalex.org/W4323268213","https://openalex.org/W2101047079","https://openalex.org/W4242128654","https://openalex.org/W2152549830","https://openalex.org/W1993744883","https://openalex.org/W3197720232","https://openalex.org/W2388387398","https://openalex.org/W3203996584","https://openalex.org/W2082549546","https://openalex.org/W3022773140"],"abstract_inverted_index":{"This":[0,53,74],"brief":[1,75],"presents":[2],"novel":[3],"circuits":[4,15,28],"for":[5,44,58,80],"calculating":[6,45,59],"bit":[7,47,61],"reversal":[8,48,62],"on":[9],"a":[10],"series":[11],"of":[12,20,39,63,85],"data.":[13],"The":[14,27],"are":[16,29,42,92],"simple":[17],"and":[18,22,49,102],"consist":[19],"buffers":[21],"multiplexers":[23],"connected":[24],"in":[25,31,67],"series.":[26],"optimum":[30,78],"two":[32],"senses:":[33],"they":[34],"use":[35],"the":[36,46,60,64,82,86],"minimum":[37,51],"number":[38],"registers":[40],"that":[41],"necessary":[43],"have":[50],"latency.":[52],"makes":[54],"them":[55],"very":[56],"suitable":[57],"output":[65,83],"frequencies":[66,84],"hardware":[68],"fast":[69],"Fourier":[70],"transform":[71],"(FFT)":[72],"architectures.":[73],"also":[76],"proposes":[77],"solutions":[79],"reordering":[81],"FFT":[87],"when":[88],"different":[89],"common":[90],"radices":[91],"used,":[93],"including":[94],"radix-2,":[95],"radix-2":[96],"<i":[97],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[98],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</i>":[99],",":[100],"radix-4,":[101],"radix-8.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}