{"id":"https://openalex.org/W1508893675","doi":"https://doi.org/10.1109/iscas.2015.7169277","title":"Using the CS decomposition to compute the 8-point DCT","display_name":"Using the CS decomposition to compute the 8-point DCT","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1508893675","doi":"https://doi.org/10.1109/iscas.2015.7169277","mag":"1508893675"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2015.7169277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2015.7169277","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-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/A5014665694","display_name":"Marek Parfieniuk","orcid":"https://orcid.org/0000-0002-4436-8849"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marek Parfieniuk","raw_affiliation_strings":["Department of Digital Media and Computer Graphics, Bialystok University of Technology, Bialystok, Poland","Dept. of Digital Media & Comput. Graphics, Bialystok Univ. of Technol., Bialystok, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Digital Media and Computer Graphics, Bialystok University of Technology, Bialystok, Poland","institution_ids":["https://openalex.org/I1323121030"]},{"raw_affiliation_string":"Dept. of Digital Media & Comput. Graphics, Bialystok Univ. of Technol., Bialystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014665694"],"corresponding_institution_ids":["https://openalex.org/I1323121030"],"apc_list":null,"apc_paid":null,"fwci":0.2872,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51958955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2836","last_page":"2839"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9990000128746033,"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":0.9990000128746033,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.991100013256073,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9900000095367432,"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":0.9505254030227661},{"id":"https://openalex.org/keywords/lapped-transform","display_name":"Lapped transform","score":0.6803441643714905},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.6250832676887512},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6134337782859802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6090296506881714},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.6048812866210938},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5809978246688843},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5679656267166138},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5491153001785278},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5394753813743591},{"id":"https://openalex.org/keywords/modified-discrete-cosine-transform","display_name":"Modified discrete cosine transform","score":0.500481128692627},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.49906039237976074},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.47619760036468506},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4591308534145355},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45661112666130066},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.3602309823036194},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3484755754470825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3246898651123047},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18239295482635498},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.1621561348438263},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.08120059967041016},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.08064964413642883},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07351630926132202},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07153761386871338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06366395950317383}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.9505254030227661},{"id":"https://openalex.org/C91458471","wikidata":"https://www.wikidata.org/wiki/Q17096468","display_name":"Lapped transform","level":5,"score":0.6803441643714905},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.6250832676887512},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6134337782859802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6090296506881714},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.6048812866210938},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5809978246688843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5679656267166138},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5491153001785278},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5394753813743591},{"id":"https://openalex.org/C28726691","wikidata":"https://www.wikidata.org/wiki/Q1268231","display_name":"Modified discrete cosine transform","level":5,"score":0.500481128692627},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.49906039237976074},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.47619760036468506},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4591308534145355},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45661112666130066},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.3602309823036194},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3484755754470825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3246898651123047},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18239295482635498},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.1621561348438263},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.08120059967041016},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.08064964413642883},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07351630926132202},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07153761386871338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06366395950317383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2015.7169277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2015.7169277","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W610997267","https://openalex.org/W2025626352","https://openalex.org/W2046197400","https://openalex.org/W2097952524","https://openalex.org/W2132206191","https://openalex.org/W2134191735","https://openalex.org/W2137277307","https://openalex.org/W2161927871","https://openalex.org/W6618789946"],"related_works":["https://openalex.org/W2978563117","https://openalex.org/W2162505377","https://openalex.org/W2090071970","https://openalex.org/W2046080157","https://openalex.org/W2963134360","https://openalex.org/W2031614119","https://openalex.org/W2135904135","https://openalex.org/W4309177872","https://openalex.org/W2363607146","https://openalex.org/W2024146866"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,35,51],"this":[3],"paper":[4],"is":[5],"to":[6,74,84],"evaluate":[7],"the":[8,17,36,48],"cosine-sine":[9],"(CS)":[10],"decomposition":[11],"as":[12],"a":[13,63],"means":[14],"for":[15,46,76,79],"computing":[16,47],"8-point":[18],"Discrete":[19],"Cosine":[20],"Transform":[21],"(DCT).":[22],"By":[23],"iteratively":[24],"decomposing":[25],"matrices":[26],"after":[27],"reordering":[28],"their":[29],"columns":[30],"or":[31],"rows,":[32],"novel":[33],"factorizations":[34],"DCT":[37],"matrix":[38],"have":[39],"been":[40],"obtained":[41],"that":[42,68],"describe":[43],"interesting":[44],"algorithms":[45,78],"transform.":[49],"Some":[50],"them":[52],"are":[53],"only":[54],"characterized":[55],"by":[56],"regular,":[57],"symmetric":[58],"data-flows,":[59],"whereas":[60],"others":[61],"require":[62],"few":[64],"computations.":[65],"This":[66],"suggests":[67],"our":[69],"method":[70],"can":[71],"be":[72],"used":[73],"search":[75],"innovative":[77],"other":[80],"block":[81],"transforms":[82],"and":[83],"optimize":[85],"hardware":[86],"implementations.":[87]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}