{"id":"https://openalex.org/W1969073709","doi":"https://doi.org/10.1109/lsp.2013.2252616","title":"CORDIC Based Fast Radix-2 DCT Algorithm","display_name":"CORDIC Based Fast Radix-2 DCT Algorithm","publication_year":2013,"publication_date":"2013-03-14","ids":{"openalex":"https://openalex.org/W1969073709","doi":"https://doi.org/10.1109/lsp.2013.2252616","mag":"1969073709"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2013.2252616","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2013.2252616","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/A5033760502","display_name":"Hai Huang","orcid":"https://orcid.org/0000-0002-2416-630X"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hai Huang","raw_affiliation_strings":["Microelectronics Center, Harbin Institute of Technology, Harbin, China","School of Software, Harbin University of Science and Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Microelectronics Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Software, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108236996","display_name":"Liyi Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liyi Xiao","raw_affiliation_strings":["Microelectronics Center, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Microelectronics Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033760502"],"corresponding_institution_ids":["https://openalex.org/I100188998","https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":4.713,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.9490187,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"5","first_page":"483","last_page":"486"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"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/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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cordic","display_name":"CORDIC","score":0.885719358921051},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7477335929870605},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.7232155799865723},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.6602209806442261},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.6447230577468872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6232348680496216},{"id":"https://openalex.org/keywords/prime-factor-fft-algorithm","display_name":"Prime-factor FFT algorithm","score":0.5128872394561768},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.48571428656578064},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48305732011795044},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.43111446499824524},{"id":"https://openalex.org/keywords/algorithm-design","display_name":"Algorithm design","score":0.4155729413032532},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4107297360897064},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3590359687805176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29767906665802},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.18596363067626953},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.18120348453521729},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.13561996817588806},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.1244257390499115},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08890584111213684}],"concepts":[{"id":"https://openalex.org/C58870171","wikidata":"https://www.wikidata.org/wiki/Q116076","display_name":"CORDIC","level":3,"score":0.885719358921051},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7477335929870605},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.7232155799865723},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.6602209806442261},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.6447230577468872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6232348680496216},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.5128872394561768},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.48571428656578064},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48305732011795044},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.43111446499824524},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.4155729413032532},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4107297360897064},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3590359687805176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29767906665802},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.18596363067626953},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.18120348453521729},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.13561996817588806},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.1244257390499115},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08890584111213684},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/lsp.2013.2252616","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2013.2252616","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":29,"referenced_works":["https://openalex.org/W1601472141","https://openalex.org/W1964786590","https://openalex.org/W1993363272","https://openalex.org/W2031614119","https://openalex.org/W2032950251","https://openalex.org/W2096335386","https://openalex.org/W2096775254","https://openalex.org/W2097088648","https://openalex.org/W2098414748","https://openalex.org/W2101850393","https://openalex.org/W2101885170","https://openalex.org/W2105815873","https://openalex.org/W2108791478","https://openalex.org/W2112333005","https://openalex.org/W2115452265","https://openalex.org/W2126432053","https://openalex.org/W2128433721","https://openalex.org/W2129240149","https://openalex.org/W2133875196","https://openalex.org/W2141193703","https://openalex.org/W2148248162","https://openalex.org/W2157020287","https://openalex.org/W2158664566","https://openalex.org/W2161199925","https://openalex.org/W2164910164","https://openalex.org/W2169210877","https://openalex.org/W6641683874","https://openalex.org/W6648683064","https://openalex.org/W6674876622"],"related_works":["https://openalex.org/W2410537737","https://openalex.org/W2937789225","https://openalex.org/W1669404982","https://openalex.org/W2031343199","https://openalex.org/W2356814585","https://openalex.org/W2312006538","https://openalex.org/W2549769717","https://openalex.org/W2012363129","https://openalex.org/W3046688035","https://openalex.org/W2042527476"],"abstract_inverted_index":{"This":[0],"letter":[1,76],"proposes":[2],"a":[3],"novel":[4],"coordinate":[5],"rotation":[6,44],"digital":[7],"computer":[8],"(CORDIC)-based":[9],"fast":[10,30],"radix-2":[11],"algorithm":[12,22,53,61],"for":[13,69,89],"computation":[14,41],"of":[15],"discrete":[16],"cosine":[17],"transformation":[18,32],"(DCT).":[19],"The":[20],"proposed":[21,52,60],"has":[23,54],"some":[24],"distinguish":[25],"advantages,":[26],"such":[27],"as":[28],"Cooley-Tukey":[29],"Fourier":[31],"(FFT)-like":[33],"regular":[34],"data":[35],"flow,":[36],"uniform":[37],"post-scaling":[38],"factor,":[39],"in-place":[40],"and":[42,67,91],"arithmetic-sequence":[43],"angles.":[45],"Compared":[46],"to":[47,82],"existing":[48],"DCT":[49],"algorithms,":[50],"this":[51,75],"lower":[55],"computational":[56],"complexity.":[57],"Furthermore,":[58],"the":[59,84],"is":[62],"highly":[63],"scalable,":[64],"modular,":[65],"regular,":[66],"suitable":[68],"pipelined":[70],"VLSI":[71],"implementation.":[72],"In":[73],"addition,":[74],"also":[77],"provides":[78],"an":[79],"easy":[80],"way":[81],"implement":[83],"reconfigurable":[85],"or":[86],"unified":[87],"architecture":[88],"DCTs":[90],"inverse":[92],"DCTs.":[93]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
