{"id":"https://openalex.org/W1989213185","doi":"https://doi.org/10.1109/iceee.2013.6676049","title":"A new class of discrete orthogonal polynomials for blind fitting of finite data","display_name":"A new class of discrete orthogonal polynomials for blind fitting of finite data","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W1989213185","doi":"https://doi.org/10.1109/iceee.2013.6676049","mag":"1989213185"},"language":"en","primary_location":{"id":"doi:10.1109/iceee.2013.6676049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2013.6676049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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/A5036286698","display_name":"Hamurabi Gamboa-Rosales","orcid":"https://orcid.org/0000-0002-9498-6602"},"institutions":[{"id":"https://openalex.org/I47400469","display_name":"Universidad Aut\u00f3noma de Zacatecas \"Francisco Garc\u00eda Salinas\"","ror":"https://ror.org/01m296r74","country_code":"MX","type":"education","lineage":["https://openalex.org/I47400469"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Hamurabi Gamboa-Rosales","raw_affiliation_strings":["Department of Electronics, Universidad Aut\u00f3noma de Zacatecas, Zacatecas, Mexico","Dept. of Electron., Univ. Autonoma de Zacatecas, Zacatecas, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Universidad Aut\u00f3noma de Zacatecas, Zacatecas, Mexico","institution_ids":["https://openalex.org/I47400469"]},{"raw_affiliation_string":"Dept. of Electron., Univ. Autonoma de Zacatecas, Zacatecas, Mexico","institution_ids":["https://openalex.org/I47400469"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056429001","display_name":"Luis J. Morales-Mendoza","orcid":"https://orcid.org/0000-0002-8580-2752"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Luis J. Morales-Mendoza","raw_affiliation_strings":["Department of Electronics, Universidad Veracruzana, Poza Rica, Mexico","Dept. of Electron., Univ. Veracruzana, Poza Rica, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Universidad Veracruzana, Poza Rica, Mexico","institution_ids":["https://openalex.org/I147280213"]},{"raw_affiliation_string":"Dept. of Electron., Univ. Veracruzana, Poza Rica, Mexico","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058205797","display_name":"Yuriy S. Shmaliy","orcid":"https://orcid.org/0000-0001-6848-453X"},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Yuriy S. Shmaliy","raw_affiliation_strings":["Department of Electronics Engineering, Universidad de Guanajuato, Salamanca, Mexico","Dept. of Electron. Eng., Univ. de Guanajuato, Salamanca, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering, Universidad de Guanajuato, Salamanca, Mexico","institution_ids":["https://openalex.org/I129858807"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Univ. de Guanajuato, Salamanca, Mexico","institution_ids":["https://openalex.org/I129858807"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3221,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.55409931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"185","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"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/T10860","display_name":"Speech and Audio Processing","score":0.9986000061035156,"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":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.8326171040534973},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.6298922300338745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5409125089645386},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.5131886601448059},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4896910488605499},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48787999153137207},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44229090213775635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43600425124168396},{"id":"https://openalex.org/keywords/hahn-polynomials","display_name":"Hahn polynomials","score":0.4268730580806732},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33329975605010986},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32295626401901245},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.31025177240371704},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26406562328338623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2554425001144409},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09888237714767456}],"concepts":[{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.8326171040534973},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.6298922300338745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5409125089645386},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.5131886601448059},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4896910488605499},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48787999153137207},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44229090213775635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43600425124168396},{"id":"https://openalex.org/C61349858","wikidata":"https://www.wikidata.org/wiki/Q1568814","display_name":"Hahn polynomials","level":5,"score":0.4268730580806732},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33329975605010986},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32295626401901245},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.31025177240371704},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26406562328338623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2554425001144409},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09888237714767456},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iceee.2013.6676049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2013.6676049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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":31,"referenced_works":["https://openalex.org/W1528387448","https://openalex.org/W1967993407","https://openalex.org/W1985161204","https://openalex.org/W1996160600","https://openalex.org/W2008536834","https://openalex.org/W2018015124","https://openalex.org/W2031512523","https://openalex.org/W2038346789","https://openalex.org/W2059176986","https://openalex.org/W2081686474","https://openalex.org/W2084641346","https://openalex.org/W2086936614","https://openalex.org/W2098280924","https://openalex.org/W2104797783","https://openalex.org/W2109606373","https://openalex.org/W2118423624","https://openalex.org/W2120062331","https://openalex.org/W2124041826","https://openalex.org/W2132193911","https://openalex.org/W2132932243","https://openalex.org/W2135331233","https://openalex.org/W2139694778","https://openalex.org/W2139880562","https://openalex.org/W2144307262","https://openalex.org/W2146921187","https://openalex.org/W2160793474","https://openalex.org/W2162295204","https://openalex.org/W2168057752","https://openalex.org/W2483594623","https://openalex.org/W2801179766","https://openalex.org/W4300879736"],"related_works":["https://openalex.org/W2168893271","https://openalex.org/W2493096353","https://openalex.org/W2012860697","https://openalex.org/W2070537393","https://openalex.org/W4394818655","https://openalex.org/W3125460591","https://openalex.org/W3148568540","https://openalex.org/W3147630167","https://openalex.org/W2788208119","https://openalex.org/W34992575"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"the":[3,28,32,41,75],"polynomial":[4],"unbiased":[5],"finite":[6,44],"impulse":[7],"response":[8],"(UFIR)":[9],"functions":[10],"derived":[11],"by":[12],"Shmaliy":[13],"establish":[14],"a":[15,19,72],"new":[16],"class":[17],"of":[18,22,43,57,61],"one-parameter":[20],"family":[21],"discrete":[23],"orthogonal":[24],"polynomials":[25,34],"(DOP).":[26],"Unlike":[27],"classical":[29],"finite-data":[30],"DOP,":[31],"UFIR":[33],"depend":[35],"on":[36],"only":[37],"one":[38],"parameter":[39],"-":[40],"length":[42],"data.":[45],"This":[46],"makes":[47],"them":[48],"highly":[49],"attractive":[50],"for":[51,65],"L-order":[52],"blind":[53],"fitting":[54],"and":[55,69],"representation":[56],"informative":[58],"processes.":[59],"Examples":[60],"applications":[62],"are":[63],"given":[64],"voice":[66],"phoneme":[67],"analysis":[68],"approximation":[70],"in":[71],"comparison":[73],"with":[74],"Hahn's":[76],"polynomials.":[77]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}