{"id":"https://openalex.org/W2588125578","doi":"https://doi.org/10.1109/access.2017.2669218","title":"On Computational Aspects of Tchebichef Polynomials for Higher Polynomial Order","display_name":"On Computational Aspects of Tchebichef Polynomials for Higher Polynomial Order","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2588125578","doi":"https://doi.org/10.1109/access.2017.2669218","mag":"2588125578"},"language":"en","primary_location":{"id":"doi:10.1109/access.2017.2669218","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2669218","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2017.2669218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017117569","display_name":"Sadiq H. Abdulhussain","orcid":"https://orcid.org/0000-0002-6439-0082"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]},{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ","MY"],"is_corresponding":false,"raw_author_name":"Sadiq H. Abdulhussain","raw_affiliation_strings":["Computer Engineering Department, University of Baghdad, Baghdad, Iraq","Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-6439-0082","affiliations":[{"raw_affiliation_string":"Computer Engineering Department, University of Baghdad, Baghdad, Iraq","institution_ids":["https://openalex.org/I135120706"]},{"raw_affiliation_string":"Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110477863","display_name":"Abd Rahman Ramli","orcid":null},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Abd Rahman Ramli","raw_affiliation_strings":["Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047260709","display_name":"S. A. R. Al-Haddad","orcid":"https://orcid.org/0000-0001-5522-5096"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Syed Abdul Rahman Al-Haddad","raw_affiliation_strings":["Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020675008","display_name":"Basheera M. Mahmmod","orcid":"https://orcid.org/0000-0002-4121-0843"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]},{"id":"https://openalex.org/I135120706","display_name":"University of Baghdad","ror":"https://ror.org/007f1da21","country_code":"IQ","type":"education","lineage":["https://openalex.org/I135120706"]}],"countries":["IQ","MY"],"is_corresponding":false,"raw_author_name":"Basheera M. Mahmmod","raw_affiliation_strings":["Computer Engineering Department, University of Baghdad, Baghdad, Iraq","Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Engineering Department, University of Baghdad, Baghdad, Iraq","institution_ids":["https://openalex.org/I135120706"]},{"raw_affiliation_string":"Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033983559","display_name":"Wissam A. Jassim","orcid":"https://orcid.org/0000-0001-5998-142X"},"institutions":[{"id":"https://openalex.org/I205274468","display_name":"Trinity College Dublin","ror":"https://ror.org/02tyrky19","country_code":"IE","type":"education","lineage":["https://openalex.org/I205274468"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Wissam A. Jassim","raw_affiliation_strings":["ADAPT Center, School of Engineering, Trinity College Dublin, University of Dublin, Dublin, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ADAPT Center, School of Engineering, Trinity College Dublin, University of Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I205274468"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.345,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.93417672,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"5","issue":null,"first_page":"2470","last_page":"2478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9991000294685364,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9979000091552734,"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":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6700130701065063},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.665528416633606},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5851877331733704},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.532729983329773},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.437921404838562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4297254681587219},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4044773578643799},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40093374252319336},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.31899189949035645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2525942623615265},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14790204167366028}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6700130701065063},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.665528416633606},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5851877331733704},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.532729983329773},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.437921404838562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4297254681587219},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4044773578643799},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40093374252319336},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.31899189949035645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2525942623615265},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14790204167366028}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2017.2669218","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2669218","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2cb20e6a1eb24426b0ba399740a44d75","is_oa":true,"landing_page_url":"https://doaj.org/article/2cb20e6a1eb24426b0ba399740a44d75","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 5, Pp 2470-2478 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2017.2669218","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2669218","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1552314771","https://openalex.org/W1979473816","https://openalex.org/W1983272054","https://openalex.org/W2019687194","https://openalex.org/W2026240554","https://openalex.org/W2035247500","https://openalex.org/W2045010718","https://openalex.org/W2055755574","https://openalex.org/W2067663972","https://openalex.org/W2095337928","https://openalex.org/W2098280924","https://openalex.org/W2098531078","https://openalex.org/W2102238397","https://openalex.org/W2107779085","https://openalex.org/W2110689527","https://openalex.org/W2111081336","https://openalex.org/W2111247758","https://openalex.org/W2116886646","https://openalex.org/W2121834080","https://openalex.org/W2124041826","https://openalex.org/W2135883983","https://openalex.org/W2144404214","https://openalex.org/W2162977486","https://openalex.org/W2411544526","https://openalex.org/W3182211633","https://openalex.org/W4234495333","https://openalex.org/W4253928870"],"related_works":["https://openalex.org/W1916685473","https://openalex.org/W2055682261","https://openalex.org/W1993363272","https://openalex.org/W2186390138","https://openalex.org/W2060035984","https://openalex.org/W2790129917","https://openalex.org/W2992856432","https://openalex.org/W2100638064","https://openalex.org/W2127787376","https://openalex.org/W1560763842"],"abstract_inverted_index":{"Tchebichef":[0],"polynomials":[1],"(TPs)":[2],"and":[3,22,78,115,130,202],"their":[4,14],"moments":[5],"are":[6,83,133],"widely":[7],"used":[8,242],"in":[9,17,75,99],"signal":[10,18],"processing":[11],"due":[12],"to":[13,38,55,141,162,169,192,246,263],"remarkable":[15],"performance":[16,185,210,224],"analysis,":[19,252],"feature":[20],"extraction,":[21],"compression":[23,233],"capability.":[24],"The":[25,184,209],"common":[26],"problem":[27],"of":[28,145,165,181,186,194,200,211,225,237,249,259,265],"the":[29,33,42,57,71,76,81,97,100,103,136,143,146,163,166,171,178,182,187,198,212,216,223,226,247,250,253,257,260,270],"TP":[30,58,261],"is":[31,36,53,139,273],"that":[32,193,264],"coefficients":[34,59,147,230],"computation":[35,258],"prone":[37],"numerical":[39,172],"instabilities":[40],"when":[41,269],"polynomial":[43,63,271],"order":[44,64,272],"becomes":[45],"large.":[46,274],"In":[47,160],"this":[48],"paper,":[49],"a":[50],"new":[51],"algorithm":[52,168,189,218,255],"proposed":[54,167,188,217,254],"compute":[56],"(TPCs)":[60],"for":[61,85,105,148,197,231,243],"higher":[62],"by":[65,215],"combining":[66],"two":[67],"existing":[68,195],"recurrence":[69,73,98,267],"algorithms:":[70],"three-term":[72],"relations":[74],"n-direction":[77],"x-direction.":[79,101],"First,":[80],"TPCs":[82,104,213],"computed":[84,214],"x,":[86],"n":[87,116,129],"=":[88,107,117,150],"0,":[89,108],"1,":[90,109,121,154],"...":[91,110,122,155],",":[92,111,123,156],"(N/2)":[93,112,119,152],"-":[94,113,125,158],"1":[95,114,126],"using":[96],"Second,":[102],"x":[106,131,149],"(N/2),":[118,151],"+":[120,153],"N":[124,157],"based":[127],"on":[128],"directions":[132],"calculated.":[134],"Finally,":[135],"symmetry":[137],"condition":[138],"applied":[140],"calculate":[142],"rest":[144],"1.":[159],"addition":[161],"ability":[164],"reduce":[170],"propagation":[173],"errors,":[174],"it":[175],"also":[176,220],"accelerates":[177],"computational":[179],"speed":[180],"TPCs.":[183],"was":[190,219],"compared":[191,221],"algorithms":[196,268],"reconstruction":[199],"speech":[201,232,238],"image":[203],"signals":[204],"taken":[205],"from":[206],"different":[207],"databases.":[208],"with":[222],"discrete":[227],"cosine":[228],"transform":[229],"systems.":[234],"Different":[235],"types":[236],"quality":[239],"measures":[240],"were":[241],"evaluation.":[244],"According":[245],"results":[248],"comparative":[251],"makes":[256],"superior":[262],"conventional":[266]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}