{"id":"https://openalex.org/W3034171291","doi":"https://doi.org/10.1109/lsp.2020.2998362","title":"Integer DCT Approximation With Arbitrary Size and Adjustable Precision","display_name":"Integer DCT Approximation With Arbitrary Size and Adjustable Precision","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3034171291","doi":"https://doi.org/10.1109/lsp.2020.2998362","mag":"3034171291"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2020.2998362","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2020.2998362","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/A5012375351","display_name":"Lucas A. Thomaz","orcid":"https://orcid.org/0000-0002-1004-7772"},"institutions":[{"id":"https://openalex.org/I169427155","display_name":"Instituto Polit\u00e9cnico de Leiria","ror":"https://ror.org/010dvvh94","country_code":"PT","type":"education","lineage":["https://openalex.org/I169427155"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Lucas A. Thomaz","raw_affiliation_strings":["Instituto de Telecomunica&#x00E7;&#x00F5;es, Leiria, Portugal","ESTG, Polytechnic of Leiria, Leiria, Portugal","Instituto de Telecomunica\u00e7\u00f5es, Leiria, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-1004-7772","affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica&#x00E7;&#x00F5;es, Leiria, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"ESTG, Polytechnic of Leiria, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]},{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Leiria, Portugal","institution_ids":["https://openalex.org/I4210120471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025962039","display_name":"Pedro Assun\u00e7\u00e3o","orcid":"https://orcid.org/0000-0001-9539-8311"},"institutions":[{"id":"https://openalex.org/I169427155","display_name":"Instituto Polit\u00e9cnico de Leiria","ror":"https://ror.org/010dvvh94","country_code":"PT","type":"education","lineage":["https://openalex.org/I169427155"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Pedro A. A. Assun\u00e7\u00e3o","raw_affiliation_strings":["Instituto de Telecomunica&#x00E7;&#x00F5;es, Leiria, Portugal","ESTG, Polytechnic of Leiria, Leiria, Portugal","Instituto de Telecomunica\u00e7\u00f5es, Leiria, Portugal"],"raw_orcid":"https://orcid.org/0000-0001-9539-8311","affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica&#x00E7;&#x00F5;es, Leiria, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"ESTG, Polytechnic of Leiria, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]},{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Leiria, Portugal","institution_ids":["https://openalex.org/I4210120471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019228689","display_name":"L. Tavora","orcid":"https://orcid.org/0000-0002-8580-1979"},"institutions":[{"id":"https://openalex.org/I169427155","display_name":"Instituto Polit\u00e9cnico de Leiria","ror":"https://ror.org/010dvvh94","country_code":"PT","type":"education","lineage":["https://openalex.org/I169427155"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Luis M. N. Tavora","raw_affiliation_strings":["ESTG, Polytechnic of Leiria, Leiria, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-8580-1979","affiliations":[{"raw_affiliation_string":"ESTG, Polytechnic of Leiria, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016506001","display_name":"S\u00e9rgio M. M. de Faria","orcid":"https://orcid.org/0000-0002-0993-9124"},"institutions":[{"id":"https://openalex.org/I169427155","display_name":"Instituto Polit\u00e9cnico de Leiria","ror":"https://ror.org/010dvvh94","country_code":"PT","type":"education","lineage":["https://openalex.org/I169427155"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"S\u00e9rgio M. M. de Faria","raw_affiliation_strings":["Instituto de Telecomunica&#x00E7;&#x00F5;es, Leiria, Portugal","ESTG, Polytechnic of Leiria, Leiria, Portugal","Instituto de Telecomunica\u00e7\u00f5es, Leiria, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-0993-9124","affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica&#x00E7;&#x00F5;es, Leiria, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"ESTG, Polytechnic of Leiria, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]},{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Leiria, Portugal","institution_ids":["https://openalex.org/I4210120471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4327,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61049048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"27","issue":null,"first_page":"965","last_page":"969"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9998999834060669,"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":0.9998999834060669,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9954000115394592,"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":0.8978475332260132},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6032342314720154},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5975918173789978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5699545741081238},{"id":"https://openalex.org/keywords/modified-discrete-cosine-transform","display_name":"Modified discrete cosine transform","score":0.5651285648345947},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5564242601394653},{"id":"https://openalex.org/keywords/power-of-two","display_name":"Power of two","score":0.5032290816307068},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4997868537902832},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4901936650276184},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.4784676730632782},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.43702322244644165},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4117944836616516},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.41174688935279846},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3527677059173584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3268047571182251},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1954950988292694},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.154445618391037},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10740098357200623}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.8978475332260132},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6032342314720154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5975918173789978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5699545741081238},{"id":"https://openalex.org/C28726691","wikidata":"https://www.wikidata.org/wiki/Q1268231","display_name":"Modified discrete cosine transform","level":5,"score":0.5651285648345947},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5564242601394653},{"id":"https://openalex.org/C7720571","wikidata":"https://www.wikidata.org/wiki/Q1136880","display_name":"Power of two","level":2,"score":0.5032290816307068},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4997868537902832},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4901936650276184},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.4784676730632782},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.43702322244644165},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4117944836616516},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.41174688935279846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3527677059173584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3268047571182251},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1954950988292694},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.154445618391037},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10740098357200623},{"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/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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2020.2998362","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2020.2998362","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":[{"id":"https://openalex.org/G6055469361","display_name":null,"funder_award_id":"Project PlenoISLA POCI-01-0145-FEDER-028325","funder_id":"https://openalex.org/F4320328601","funder_display_name":"Programa Operacional Regional do Centro"}],"funders":[{"id":"https://openalex.org/F4320328601","display_name":"Programa Operacional Regional do Centro","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1838550990","https://openalex.org/W2031614119","https://openalex.org/W2058097301","https://openalex.org/W2061171222","https://openalex.org/W2121262603","https://openalex.org/W2146395539","https://openalex.org/W2157020287","https://openalex.org/W2158138391","https://openalex.org/W2514812744","https://openalex.org/W2791751470","https://openalex.org/W2806195408","https://openalex.org/W2890447646","https://openalex.org/W2945487251","https://openalex.org/W2957246117","https://openalex.org/W2972078915","https://openalex.org/W3018154259","https://openalex.org/W4206454995","https://openalex.org/W4247086391","https://openalex.org/W4256068510"],"related_works":["https://openalex.org/W2135613204","https://openalex.org/W2162505377","https://openalex.org/W2128618986","https://openalex.org/W1956935188","https://openalex.org/W2090071970","https://openalex.org/W2165151244","https://openalex.org/W2024146866","https://openalex.org/W754933304","https://openalex.org/W2158670957","https://openalex.org/W1508893675"],"abstract_inverted_index":{"This":[0],"letter":[1],"proposes":[2],"a":[3,76],"method":[4],"to":[5,93,103,118],"obtain":[6,104],"integer":[7],"reversible":[8],"discrete":[9],"cosine":[10],"transforms":[11,117],"for":[12,59],"generic":[13],"transform-based":[14],"coding":[15,121],"schemes.":[16],"The":[17,108],"novelty":[18],"of":[19,28,47,81,114,124],"the":[20,29,42,79,90,112,115,120,125],"proposed":[21,88,116],"method,":[22],"which":[23],"is":[24,39],"based":[25],"on":[26],"decomposition":[27],"DCT-II":[30],"matrix":[31],"into":[32],"two":[33],"triangular":[34],"and":[35,102],"one":[36],"diagonal":[37],"matrices,":[38],"twofold:":[40],"(i)":[41],"new":[43],"matrices":[44,101],"can":[45,69],"be":[46,70],"arbitrary":[48],"size,":[49],"i.e.,":[50],"any":[51],"square":[52],"N":[53,55],"\u00d7":[54],"dimension,":[56],"thus":[57],"suitable":[58],"applications":[60],"where":[61],"non":[62],"power-of-2":[63],"dimensions":[64],"are":[65,86],"required;":[66],"(ii)":[67],"they":[68],"designed":[71],"with":[72,78,99],"adjustable":[73],"precision":[74],"in":[75],"trade-off":[77],"number":[80],"representation":[82],"bits.":[83],"Furthermore,":[84],"improvements":[85],"also":[87],"over":[89],"base":[91],"scheme":[92],"avoid":[94],"numerical":[95],"issues":[96],"when":[97],"working":[98],"large":[100],"more":[105],"reliable":[106],"approximations.":[107],"performance":[109],"evaluation":[110],"demonstrate":[111],"effectiveness":[113],"approximate":[119],"gain":[122],"capabilities":[123],"original":[126],"DCT-II.":[127]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
