{"id":"https://openalex.org/W2548748034","doi":"https://doi.org/10.1109/latincom.2012.6506017","title":"Matrix expansions for computing the discrete hartley transform for blocklength N ≡ 0 (mod 4)","display_name":"Matrix expansions for computing the discrete hartley transform for blocklength N ≡ 0 (mod 4)","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2548748034","doi":"https://doi.org/10.1109/latincom.2012.6506017","mag":"2548748034"},"language":"en","primary_location":{"id":"doi:10.1109/latincom.2012.6506017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/latincom.2012.6506017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Latin-America Conference on Communications","raw_type":"proceedings-article"},"type":"conference-paper","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/A5041563595","display_name":"Raimundo Corr\u00eaa de Oliveira","orcid":"https://orcid.org/0000-0002-5428-8762"},"institutions":[{"id":"https://openalex.org/I4210147594","display_name":"Universidade do Estado do Amazonas","ror":"https://ror.org/04j5z3x06","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210147594"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"R. C. de Oliveira","raw_affiliation_strings":["Coordination of Computer Engineering, Amazon State University, Manaus, Amazonas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordination of Computer Engineering, Amazon State University, Manaus, Amazonas, Brazil","institution_ids":["https://openalex.org/I4210147594"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103560321","display_name":"Ricardo M. Campello de Souza","orcid":"https://orcid.org/0009-0008-3262-6282"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"R. M. Campello de Souza","raw_affiliation_strings":["Department of Electronic and Systems, UFPE-Federal University of Pernambuco, Recife, Pernambuco, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Systems, UFPE-Federal University of Pernambuco, Recife, Pernambuco, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101671840","display_name":"H. M. de Oliveira","orcid":"https://orcid.org/0000-0002-6843-0635"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"H. M. de Oliveira","raw_affiliation_strings":["Department of Electronic and Systems, UFPE-Federal University of Pernambuco, Recife, Pernambuco, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Systems, UFPE-Federal University of Pernambuco, Recife, Pernambuco, Brazil","institution_ids":["https://openalex.org/I25112270"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.244,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5334258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9944999814033508,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.9133450984954834},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.7226250767707825},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6101316213607788},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5947595238685608},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5685173273086548},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5388026237487793},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47436389327049255},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4647478461265564},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4364749789237976},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.4160216450691223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2999657988548279},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.18803083896636963},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.14125213027000427}],"concepts":[{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.9133450984954834},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.7226250767707825},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6101316213607788},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5947595238685608},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5685173273086548},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5388026237487793},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47436389327049255},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4647478461265564},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4364749789237976},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.4160216450691223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2999657988548279},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.18803083896636963},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.14125213027000427},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/latincom.2012.6506017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/latincom.2012.6506017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Latin-America Conference on Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1517466399","https://openalex.org/W1975754844","https://openalex.org/W2006724675","https://openalex.org/W2024874910","https://openalex.org/W2028911956","https://openalex.org/W2037981030","https://openalex.org/W2088531161","https://openalex.org/W2089594082","https://openalex.org/W2103359846"],"related_works":["https://openalex.org/W2006724675","https://openalex.org/W4234987225","https://openalex.org/W2161459641","https://openalex.org/W2057012375","https://openalex.org/W2004809679","https://openalex.org/W1545201129","https://openalex.org/W4379386706","https://openalex.org/W2097561720","https://openalex.org/W2188879807","https://openalex.org/W3142025221"],"abstract_inverted_index":{"A":[0,53],"new":[1],"fast":[2,37],"algorithm":[3,24,69],"for":[4,73],"computing":[5],"the":[6,17,20,50,57],"discrete":[7],"Hartley":[8,38],"transform":[9,21,39],"(DHT)":[10],"is":[11,14,66,70],"presented,":[12],"which":[13],"based":[15],"on":[16],"expansion":[18],"of":[19,31,46,56,59],"matrix.":[22],"The":[23,68],"presents":[25],"a":[26],"better":[27],"performance,":[28,43],"in":[29,44],"terms":[30,45],"multiplicative":[32],"complexity,":[33,48],"than":[34],"previously":[35],"known":[36],"algorithms":[40],"and":[41,64],"same":[42],"additive":[47],"as":[49],"Split-Radix":[51],"algorithm.":[52],"detailed":[54],"description":[55],"computation":[58],"DHTs":[60],"with":[61],"blocklengths":[62,74],"8":[63],"16":[65],"shown.":[67],"very":[71],"attractive":[72],"N":[75],"\u2265":[76],"128.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}