{"id":"https://openalex.org/W2105040774","doi":"https://doi.org/10.1142/s0218126609005447","title":"A CLASS OF ALMOST ORTHOGONAL FILTERS","display_name":"A CLASS OF ALMOST ORTHOGONAL FILTERS","publication_year":2009,"publication_date":"2009-07-03","ids":{"openalex":"https://openalex.org/W2105040774","doi":"https://doi.org/10.1142/s0218126609005447","mag":"2105040774"},"language":"en","primary_location":{"id":"doi:10.1142/s0218126609005447","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126609005447","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","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/A5018428946","display_name":"Bratislav Dankovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"BRATISLAV DANKOVI\u0106","raw_affiliation_strings":["Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059147409","display_name":"Sa\u0161a S. Nikoli\u0107","orcid":"https://orcid.org/0000-0003-2745-3862"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"SA\u0160A NIKOLI\u0106","raw_affiliation_strings":["Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026158874","display_name":"Marko Milojkovi\u0107","orcid":"https://orcid.org/0000-0001-7623-1495"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"MARKO MILOJKOVI\u0106","raw_affiliation_strings":["Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058196449","display_name":"Zoran Jovanovi\u0107","orcid":"https://orcid.org/0000-0002-4881-3639"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"ZORAN JOVANOVI\u0106","raw_affiliation_strings":["Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Engineering, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Republic of Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018428946"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":null,"apc_paid":null,"fwci":9.9504,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.97805238,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"05","first_page":"923","last_page":"931"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9965999722480774,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.6542968153953552},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"Orthogonal functions","score":0.6292634606361389},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6087260246276855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5239601135253906},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.500481128692627},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4949313998222351},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.4779379665851593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4559219479560852},{"id":"https://openalex.org/keywords/empirical-orthogonal-functions","display_name":"Empirical orthogonal functions","score":0.4440293312072754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4211091101169586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4126240015029907},{"id":"https://openalex.org/keywords/network-synthesis-filters","display_name":"Network synthesis filters","score":0.4119938313961029},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.22481921315193176},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1770564615726471},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16190698742866516},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1015084981918335},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08377385139465332}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.6542968153953552},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.6292634606361389},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6087260246276855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5239601135253906},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.500481128692627},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4949313998222351},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.4779379665851593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4559219479560852},{"id":"https://openalex.org/C13724139","wikidata":"https://www.wikidata.org/wiki/Q3042818","display_name":"Empirical orthogonal functions","level":2,"score":0.4440293312072754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4211091101169586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4126240015029907},{"id":"https://openalex.org/C51297928","wikidata":"https://www.wikidata.org/wiki/Q7001207","display_name":"Network synthesis filters","level":2,"score":0.4119938313961029},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.22481921315193176},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1770564615726471},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16190698742866516},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1015084981918335},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08377385139465332},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218126609005447","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126609005447","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1991843336","https://openalex.org/W2029015240","https://openalex.org/W2030874730","https://openalex.org/W2054033663","https://openalex.org/W2060488320","https://openalex.org/W2095753402","https://openalex.org/W2113167045","https://openalex.org/W2125401520","https://openalex.org/W2136503456","https://openalex.org/W2138204002","https://openalex.org/W2319345516","https://openalex.org/W2461038452","https://openalex.org/W2991481819","https://openalex.org/W4205139835"],"related_works":["https://openalex.org/W3022026097","https://openalex.org/W2030874730","https://openalex.org/W4282946448","https://openalex.org/W4301495576","https://openalex.org/W1978484384","https://openalex.org/W2999082994","https://openalex.org/W1992683865","https://openalex.org/W2074889519","https://openalex.org/W2031032025","https://openalex.org/W2968612141"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"define":[4],"a":[5,16],"new":[6,82,109],"class":[7],"of":[8,18,43,64,75,88,108],"the":[9,19,26,41,49,59,86,102,106],"almost":[10,44],"orthogonal":[11,21,38,45],"filters.":[12],"These":[13],"filters":[14,22,39,110,113],"are":[15],"generalization":[17],"classical":[20,112],"commonly":[23],"used":[24,57,72],"in":[25,98],"circuit":[27],"theory,":[28,31],"control":[29],"system":[30],"signal":[32],"processing":[33],"and":[34,62,105],"process":[35],"identification.":[36],"Almost":[37],"generate":[40],"series":[42],"Legendre":[46],"functions":[47,77],"on":[48,78],"interval":[50],"(0,":[51,79],"\u221e).":[52,80],"They":[53,68],"can":[54,69],"be":[55,71],"successfully":[56],"for":[58,73,84],"analysis,":[60],"synthesis":[61],"designing":[63],"imperfect":[65,89],"technical":[66],"systems.":[67],"also":[70],"approximation":[74],"arbitrary":[76],"A":[81],"method":[83],"obtaining":[85],"models":[87],"systems":[90],"is":[91,114],"presented":[92],"as":[93],"well.":[94],"Simulations":[95],"were":[96],"performed":[97],"order":[99],"to":[100],"validate":[101],"theoretical":[103],"results":[104],"comparison":[107],"with":[111],"given.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
