{"id":"https://openalex.org/W1810758292","doi":"https://doi.org/10.1109/iscas.2006.1692888","title":"The approximation of arbitrary complex filter responses","display_name":"The approximation of arbitrary complex filter responses","publication_year":2006,"publication_date":"2006-09-22","ids":{"openalex":"https://openalex.org/W1810758292","doi":"https://doi.org/10.1109/iscas.2006.1692888","mag":"1810758292"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2006.1692888","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1692888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","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/A5078131146","display_name":"M.A. Teplechuk","orcid":null},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"M.A. Teplechuk","raw_affiliation_strings":["Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow, UK","Dept. of Electron. & Electr. Eng., Glasgow Univ., UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow, UK","institution_ids":["https://openalex.org/I7882870"]},{"raw_affiliation_string":"Dept. of Electron. & Electr. Eng., Glasgow Univ., UK#TAB#","institution_ids":["https://openalex.org/I7882870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051601229","display_name":"J.L. Sewell","orcid":null},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J.L. Sewell","raw_affiliation_strings":["Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow, UK","Dept. of Electron. & Electr. Eng., Glasgow Univ., UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow, UK","institution_ids":["https://openalex.org/I7882870"]},{"raw_affiliation_string":"Dept. of Electron. & Electr. Eng., Glasgow Univ., UK#TAB#","institution_ids":["https://openalex.org/I7882870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078131146"],"corresponding_institution_ids":["https://openalex.org/I7882870"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06976397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"138","issue":null,"first_page":"4","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/transfer-function","display_name":"Transfer function","score":0.6997902393341064},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.6673818230628967},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.6225411295890808},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6121382713317871},{"id":"https://openalex.org/keywords/stopband","display_name":"Stopband","score":0.5875983238220215},{"id":"https://openalex.org/keywords/passband","display_name":"Passband","score":0.532873809337616},{"id":"https://openalex.org/keywords/minimax-approximation-algorithm","display_name":"Minimax approximation algorithm","score":0.5175496935844421},{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.506475567817688},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4612656235694885},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4527013301849365},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.450031042098999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44464579224586487},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.43588653206825256},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41699349880218506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36688166856765747},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.349115252494812},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3256005644798279},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.273972749710083},{"id":"https://openalex.org/keywords/band-pass-filter","display_name":"Band-pass filter","score":0.2634727954864502},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24538013339042664},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.1283465027809143},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.11784613132476807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09301018714904785}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6997902393341064},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.6673818230628967},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.6225411295890808},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6121382713317871},{"id":"https://openalex.org/C46271340","wikidata":"https://www.wikidata.org/wiki/Q1971063","display_name":"Stopband","level":3,"score":0.5875983238220215},{"id":"https://openalex.org/C46416853","wikidata":"https://www.wikidata.org/wiki/Q254758","display_name":"Passband","level":3,"score":0.532873809337616},{"id":"https://openalex.org/C117148685","wikidata":"https://www.wikidata.org/wiki/Q6865376","display_name":"Minimax approximation algorithm","level":2,"score":0.5175496935844421},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.506475567817688},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4612656235694885},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4527013301849365},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.450031042098999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44464579224586487},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.43588653206825256},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41699349880218506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36688166856765747},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.349115252494812},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3256005644798279},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.273972749710083},{"id":"https://openalex.org/C147788027","wikidata":"https://www.wikidata.org/wiki/Q2718101","display_name":"Band-pass filter","level":2,"score":0.2634727954864502},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24538013339042664},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1283465027809143},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.11784613132476807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09301018714904785},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2006.1692888","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1692888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1573532819","https://openalex.org/W1887854282","https://openalex.org/W2052559875","https://openalex.org/W2053098845","https://openalex.org/W2108605458","https://openalex.org/W2117293533","https://openalex.org/W2130386875","https://openalex.org/W3008657223","https://openalex.org/W6774460170","https://openalex.org/W7046453414"],"related_works":["https://openalex.org/W2032367085","https://openalex.org/W2087686193","https://openalex.org/W2737349826","https://openalex.org/W2156766998","https://openalex.org/W2064547980","https://openalex.org/W2123358778","https://openalex.org/W2167394514","https://openalex.org/W4387422913","https://openalex.org/W2031082720","https://openalex.org/W241143903"],"abstract_inverted_index":{"Approximation":[0,35,87],"and":[1,48,53,55,81,97,104],"design":[2,95],"methods":[3],"of":[4,8,21,31,73,83,100,106],"a":[5,65,98],"general":[6],"class":[7],"IIR":[9],"complex":[10],"functions":[11,74],"without":[12],"any":[13,77],"required":[14],"symmetrical":[15],"property":[16],"are":[17],"examined.":[18],"A":[19],"set":[20],"routines":[22,36,88],"has":[23],"been":[24,90],"developed":[25],"to":[26],"allow":[27],"arbitrary":[28,56,79],"amplitude":[29],"approximation":[30,67,109],"such":[32,39],"asymmetrical":[33],"functions.":[34],"will":[37,69],"include":[38],"features":[40],"as":[41],"high-order":[42],"touch":[43],"points":[44],"in":[45,62,92],"both":[46],"passband":[47],"stopband":[49],"regions,":[50],"fixed":[51],"poles":[52],"zeros":[54],"frequency":[57],"template":[58],"shaping.":[59],"These":[60],"features,":[61],"conjunction":[63],"with":[64],"Remez":[66],"algorithm,":[68],"permit":[70],"the":[71,84,93,107],"development":[72],"that":[75],"realise":[76],"reasonable":[78],"shape":[80],"form":[82],"transfer":[85],"function.":[86],"have":[89],"implemented":[91],"XFILTER":[94],"software":[96],"number":[99],"examples,":[101],"demonstrating":[102],"efficiency":[103],"flexibility":[105],"proposed":[108],"method.":[110]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}