{"id":"https://openalex.org/W2091049129","doi":"https://doi.org/10.1109/iccnc.2013.6504134","title":"Exact trigonometric superfast inverse covariance representations","display_name":"Exact trigonometric superfast inverse covariance representations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2091049129","doi":"https://doi.org/10.1109/iccnc.2013.6504134","mag":"2091049129"},"language":"en","primary_location":{"id":"doi:10.1109/iccnc.2013.6504134","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccnc.2013.6504134","pdf_url":null,"source":{"id":"https://openalex.org/S4306497840","display_name":"2013 International Conference on Computing, Networking and Communications (ICNC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Computing, Networking and Communications (ICNC)","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/A5078577025","display_name":"Ricardo Merched","orcid":"https://orcid.org/0000-0001-5280-2767"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"R. Merched","raw_affiliation_strings":["Department of Electronics and Computer Engineering, Universidade Federal do Rio de Janeiro, Brazil","Dept. of Electronics and Computer Engineering, Universidade Federal do Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Computer Engineering, Universidade Federal do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"Dept. of Electronics and Computer Engineering, Universidade Federal do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078577025"],"corresponding_institution_ids":["https://openalex.org/I122140584"],"apc_list":null,"apc_paid":null,"fwci":0.6941,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6969697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"490","last_page":"495"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9987000226974487,"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":0.9987000226974487,"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/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9922999739646912,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.6806502342224121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6363826990127563},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.6139406561851501},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6010880470275879},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.592681348323822},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5449045300483704},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5145965814590454},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5076450109481812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4524577260017395},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.4392396807670593},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4390280544757843},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.43409672379493713},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4340285658836365},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.41122496128082275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38209328055381775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3820457458496094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19120877981185913},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.18842735886573792},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.15518271923065186},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12661653757095337},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09345680475234985},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08252999186515808},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.07455015182495117}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.6806502342224121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6363826990127563},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.6139406561851501},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6010880470275879},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.592681348323822},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5449045300483704},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5145965814590454},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5076450109481812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4524577260017395},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.4392396807670593},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4390280544757843},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.43409672379493713},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4340285658836365},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.41122496128082275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38209328055381775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3820457458496094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19120877981185913},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.18842735886573792},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.15518271923065186},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12661653757095337},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09345680475234985},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08252999186515808},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.07455015182495117},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccnc.2013.6504134","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccnc.2013.6504134","pdf_url":null,"source":{"id":"https://openalex.org/S4306497840","display_name":"2013 International Conference on Computing, Networking and Communications (ICNC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Computing, Networking and Communications (ICNC)","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":16,"referenced_works":["https://openalex.org/W1984376002","https://openalex.org/W1995063280","https://openalex.org/W2006355531","https://openalex.org/W2020163792","https://openalex.org/W2047954521","https://openalex.org/W2060380599","https://openalex.org/W2105502728","https://openalex.org/W2110567227","https://openalex.org/W2131887931","https://openalex.org/W2145883640","https://openalex.org/W2163736090","https://openalex.org/W2166123068","https://openalex.org/W4237180893","https://openalex.org/W6651988419","https://openalex.org/W6675897046","https://openalex.org/W6681536809"],"related_works":["https://openalex.org/W2063166054","https://openalex.org/W2358475213","https://openalex.org/W3142213391","https://openalex.org/W2328538906","https://openalex.org/W1775321609","https://openalex.org/W2066336292","https://openalex.org/W4226341002","https://openalex.org/W2028663913","https://openalex.org/W2124469656","https://openalex.org/W1567793764"],"abstract_inverted_index":{"This":[0,57],"paper":[1],"shows":[2],"that":[3],"superfast":[4],"inverse":[5],"covariance":[6],"representations":[7],"are":[8],"not":[9,43],"limited":[10],"to":[11,66,70,81,86],"DFT":[12],"based":[13],"formulas,":[14],"and":[15,27],"can":[16],"be":[17],"obtained":[18],"similarly":[19],"for":[20],"trigonometric":[21],"transforms,":[22],"such":[23],"as":[24],"discrete":[25,28],"cosine":[26],"sine":[29],"matrices.":[30],"Unlike":[31],"commonly":[32],"implied":[33],"by":[34],"some":[35],"authors,":[36],"the":[37,50,53,60,63,75],"use":[38],"of":[39,52,62,77],"real":[40,91],"transforms":[41],"does":[42],"depend":[44],"on":[45],"any":[46],"symmetry":[47],"condition":[48],"in":[49,68],"columns":[51],"corresponding":[54],"data":[55],"matrix.":[56],"result":[58],"follows":[59],"state-of-the-art":[61],"displacement":[64],"approach":[65],"matrices":[67],"connection":[69],"recurrence":[71],"polynomial":[72],"realizations,":[73],"where":[74],"choice":[76],"Chebyshev":[78],"bases":[79],"leads":[80],"DCT/DST":[82],"decompositions,":[83],"directly":[84],"applicable":[85],"block":[87],"frequency-domain":[88],"equalization":[89],"using":[90],"data.":[92]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}