{"id":"https://openalex.org/W1981613981","doi":"https://doi.org/10.1002/(sici)1097-007x(199603/04)24:2<165::aid-cta892>3.0.co;2-e","title":"On optimal filters with maximum number of constraints on amplitude and phase characteristics","display_name":"On optimal filters with maximum number of constraints on amplitude and phase characteristics","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W1981613981","doi":"https://doi.org/10.1002/(sici)1097-007x(199603/04)24:2<165::aid-cta892>3.0.co;2-e","mag":"1981613981"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-007x(199603/04)24:2<165::aid-cta892>3.0.co;2-e","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-007x(199603/04)24:2<165::aid-cta892>3.0.co;2-e","pdf_url":null,"source":{"id":"https://openalex.org/S92132303","display_name":"International Journal of Circuit Theory and Applications","issn_l":"0098-9886","issn":["0098-9886","1097-007X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Circuit Theory and Applications","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/A5073175295","display_name":"Mohammed Abo\u2010Zahhad","orcid":"https://orcid.org/0000-0002-7926-0037"},"institutions":[{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohammed Abo-Zahhad","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Faculty of Engineering, University of Assiut, Assiut, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Faculty of Engineering, University of Assiut, Assiut, Egypt","institution_ids":["https://openalex.org/I91041137"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004937171","display_name":"Tam\u00e1s Henk","orcid":null},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]},{"id":"https://openalex.org/I4210161853","display_name":"Budapest Institute","ror":"https://ror.org/050hvq478","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210161853"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Henk","raw_affiliation_strings":["Department of Telecommunications and Telematics, Technical University of Budapest, Stoczek u. 2, H-1111 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Telecommunications and Telematics, Technical University of Budapest, Stoczek u. 2, H-1111 Budapest, Hungary","institution_ids":["https://openalex.org/I4210161853","https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3660,"currency":"USD","value_usd":3660},"apc_paid":null,"fwci":0.4643,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61748655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"2","first_page":"165","last_page":"181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9916999936103821,"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":0.9909999966621399,"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/stopband","display_name":"Stopband","score":0.7719882130622864},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.7318229079246521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6628493070602417},{"id":"https://openalex.org/keywords/passband","display_name":"Passband","score":0.6286534070968628},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.5822001695632935},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5671656131744385},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5541743040084839},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5314922332763672},{"id":"https://openalex.org/keywords/band-pass-filter","display_name":"Band-pass filter","score":0.5268762707710266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4920332133769989},{"id":"https://openalex.org/keywords/transition-band","display_name":"Transition band","score":0.48358267545700073},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.46768882870674133},{"id":"https://openalex.org/keywords/group-delay-and-phase-delay","display_name":"Group delay and phase delay","score":0.4368242621421814},{"id":"https://openalex.org/keywords/ripple","display_name":"Ripple","score":0.42879346013069153},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.41322463750839233},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4051140546798706},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.3273370862007141},{"id":"https://openalex.org/keywords/low-pass-filter","display_name":"Low-pass filter","score":0.3072212338447571},{"id":"https://openalex.org/keywords/prototype-filter","display_name":"Prototype filter","score":0.24764326214790344},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.186641126871109},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17626026272773743},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10698366165161133},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09375524520874023},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07988932728767395}],"concepts":[{"id":"https://openalex.org/C46271340","wikidata":"https://www.wikidata.org/wiki/Q1971063","display_name":"Stopband","level":3,"score":0.7719882130622864},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.7318229079246521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6628493070602417},{"id":"https://openalex.org/C46416853","wikidata":"https://www.wikidata.org/wiki/Q254758","display_name":"Passband","level":3,"score":0.6286534070968628},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5822001695632935},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5671656131744385},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5541743040084839},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5314922332763672},{"id":"https://openalex.org/C147788027","wikidata":"https://www.wikidata.org/wiki/Q2718101","display_name":"Band-pass filter","level":2,"score":0.5268762707710266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4920332133769989},{"id":"https://openalex.org/C34239149","wikidata":"https://www.wikidata.org/wiki/Q7834407","display_name":"Transition band","level":5,"score":0.48358267545700073},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.46768882870674133},{"id":"https://openalex.org/C123792056","wikidata":"https://www.wikidata.org/wiki/Q365988","display_name":"Group delay and phase delay","level":3,"score":0.4368242621421814},{"id":"https://openalex.org/C2779599953","wikidata":"https://www.wikidata.org/wiki/Q1776117","display_name":"Ripple","level":3,"score":0.42879346013069153},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.41322463750839233},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4051140546798706},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.3273370862007141},{"id":"https://openalex.org/C44682112","wikidata":"https://www.wikidata.org/wiki/Q918242","display_name":"Low-pass filter","level":3,"score":0.3072212338447571},{"id":"https://openalex.org/C175742284","wikidata":"https://www.wikidata.org/wiki/Q1415537","display_name":"Prototype filter","level":4,"score":0.24764326214790344},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.186641126871109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17626026272773743},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10698366165161133},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09375524520874023},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07988932728767395},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-007x(199603/04)24:2<165::aid-cta892>3.0.co;2-e","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-007x(199603/04)24:2<165::aid-cta892>3.0.co;2-e","pdf_url":null,"source":{"id":"https://openalex.org/S92132303","display_name":"International Journal of Circuit Theory and Applications","issn_l":"0098-9886","issn":["0098-9886","1097-007X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Circuit Theory and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2810652530","https://openalex.org/W2253449715","https://openalex.org/W2393249733","https://openalex.org/W2171203456","https://openalex.org/W3001194121","https://openalex.org/W2053296571","https://openalex.org/W2165244401","https://openalex.org/W3127687975","https://openalex.org/W2056899885","https://openalex.org/W4313521831"],"abstract_inverted_index":{"For":[0],"optimal":[1,189],"filters":[2],"specified":[3],"amplitude":[4,59,101,137,151],"and":[5,39,58,76,97,102,119,135,138,147,160,166],"phase":[6,40,103,139],"(or":[7],"group":[8,56],"delay)":[9],"characteristics,":[10],"it":[11],"is":[12,42,109,173],"required":[13],"that":[14,176],"all":[15],"the":[16,20,26,32,37,64,92,98,127,133,154,169,184,188],"free":[17,95,130],"parameters":[18,96,131],"of":[19,34,94,100,129,178],"transfer":[21,142],"function":[22],"be":[23],"used":[24],"for":[25,71,83,105,111,116,126,141,149],"approximation.":[27],"To":[28],"achieve":[29],"this":[30],"requirement,":[31],"number":[33,93,99],"constraints":[35,104],"on":[36,45,168],"amlitude":[38],"characteristics":[41,60,79,140,152],"defined":[43],"first":[44],"general":[46],"interpolation":[47],"bases.":[48,171],"Constant":[49],"or":[50,54,68,85],"arbitrarily":[51],"prescribed":[52],"lowpass":[53],"bandpass":[55],"delay":[57],"are":[61,80,124,164],"approximated":[62],"in":[63,153],"maximally":[65],"flat,":[66],"ripple":[67],"mixed":[69],"sense":[70],"lumped":[72],"filters,":[73],"whereas":[74],"highpass":[75],"band":[77],"rejection":[78],"also":[81,148],"considered":[82],"distributed":[84],"sampled":[86],"data":[87],"filters.":[88],"The":[89],"relationship":[90],"between":[91,132],"a":[106],"given":[107],"degree":[108],"derived":[110,125],"non-reciprocal":[112],"as":[113,115],"well":[114],"reciprocal":[117,120],"lossy":[118],"reactant":[121],"cases.":[122],"Conditions":[123],"distribution":[128],"passband":[134],"stopband":[136],"functions":[143],"with":[144],"Hurwitzian":[145],"denominator":[146],"monotonic":[150],"transition":[155],"band.":[156],"Some":[157],"published":[158],"separate":[159],"simultaneous":[161],"approximation":[162],"methods":[163,180],"evaluated":[165],"compared":[167],"above":[170,185],"It":[172],"pointed":[174],"out":[175],"some":[177],"these":[179],"do":[181],"not":[182],"satisfy":[183],"requirements,":[186],"although":[187],"solution":[190],"would":[191],"exhibit":[192],"higher":[193],"performances.":[194]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
