{"id":"https://openalex.org/W2145597004","doi":"https://doi.org/10.1109/lsp.2009.2028450","title":"Comments on &amp;#x201C;Fast Radix-9 Algorithm for the DCT-IV Computation&amp;#x201D;","display_name":"Comments on &amp;#x201C;Fast Radix-9 Algorithm for the DCT-IV Computation&amp;#x201D;","publication_year":2009,"publication_date":"2009-07-30","ids":{"openalex":"https://openalex.org/W2145597004","doi":"https://doi.org/10.1109/lsp.2009.2028450","mag":"2145597004"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2009.2028450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2009.2028450","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5023491044","display_name":"Vladim\u00edr Brita\u0148\u00e1k","orcid":null},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210152232","display_name":"Institute of Informatics of the Slovak Academy of Sciences","ror":"https://ror.org/04jgqpc26","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210152232"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"V. Britanak","raw_affiliation_strings":["Institute of Informatics, Slovak Academy of Sciences, Bratislava, Slovakia","Inst. of Inf., Slovak Acad. of Sci., Bratislava, Slovakia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics, Slovak Academy of Sciences, Bratislava, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210152232"]},{"raw_affiliation_string":"Inst. of Inf., Slovak Acad. of Sci., Bratislava, Slovakia#TAB#","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023491044"],"corresponding_institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210152232"],"apc_list":null,"apc_paid":null,"fwci":0.7049,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.70748207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"16","issue":"11","first_page":"1005","last_page":"1006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9959999918937683,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9944000244140625,"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/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.8605940341949463},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.6659892797470093},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5977562665939331},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5893228650093079},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5718978047370911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5628758668899536},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5359734892845154},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4801580309867859},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.46568551659584045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45134586095809937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40890267491340637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3329061269760132},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.16086247563362122},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09016239643096924}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.8605940341949463},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.6659892797470093},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5977562665939331},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5893228650093079},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5718978047370911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5628758668899536},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5359734892845154},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4801580309867859},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.46568551659584045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45134586095809937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40890267491340637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3329061269760132},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.16086247563362122},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09016239643096924},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2009.2028450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2009.2028450","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W582533044","https://openalex.org/W2141193703"],"related_works":["https://openalex.org/W1916685473","https://openalex.org/W2055682261","https://openalex.org/W2186390138","https://openalex.org/W2412254868","https://openalex.org/W1993363272","https://openalex.org/W2060035984","https://openalex.org/W2390904641","https://openalex.org/W2790129917","https://openalex.org/W2992856432","https://openalex.org/W2022568231"],"abstract_inverted_index":{"<para":[0],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[1],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[2],"Recently,":[3],"a":[4,64],"fast":[5,45,104],"radix-<formula":[6],"formulatype=\"inline\">":[7,31],"<tex":[8,32],"Notation=\"TeX\">$q$</tex></formula>":[9,33],"algorithm":[10,107],"for":[11,108],"an":[12,35,66],"efficient":[13,48,68,86],"computation":[14],"of":[15,77,102],"the":[16,43,78,99],"type-IV":[17],"discrete":[18],"cosine":[19],"transform":[20],"(DCT-IV)":[21],"has":[22],"been":[23,58],"proposed":[24,44],"in":[25,60,75],"<citerefgrp>":[26],"<citeref":[27],"refid=\"ref1\"/></citerefgrp>,":[28],"where":[29],"<formula":[30],"is":[34,81,111],"odd":[36],"positive":[37],"integer.":[38],"In":[39],"particular,":[40],"based":[41],"on":[42],"algorithm,":[46],"optimized":[47,69,85],"3-,":[49],"5-,":[50],"and":[51,95],"9-point":[52,70,87],"scaled":[53,71],"DCT-IV":[54,72,106],"(SDCT-IV)":[55,73],"modules":[56],"have":[57],"derived":[59],"<citerefgrp><citeref":[61],"refid=\"ref1\"/></citerefgrp>.":[62],"As":[63],"response,":[65],"improved":[67,84],"module":[74,89],"terms":[76],"arithmetic":[79,100],"complexity":[80,101],"presented.":[82],"The":[83],"SDCT-IV":[88],"requires":[90],"17":[91],"multiplications,":[92],"53":[93],"additions,":[94],"three":[96],"shifts.":[97],"Consequently,":[98],"extended":[103],"mixed-radix":[105],"composite":[109],"lengths":[110],"also":[112],"significantly":[113],"improved.":[114],"</para>":[115]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}