{"id":"https://openalex.org/W2157315314","doi":"https://doi.org/10.1109/icassp.1980.1171022","title":"Covariance sequence approximation for recursive digital filter design","display_name":"Covariance sequence approximation for recursive digital filter design","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W2157315314","doi":"https://doi.org/10.1109/icassp.1980.1171022","mag":"2157315314"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1980.1171022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1980.1171022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '80. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5108536322","display_name":"A.A. Beex","orcid":null},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Beex","raw_affiliation_strings":["EE Department, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EE Department, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080469112","display_name":"Louis L. Scharf","orcid":"https://orcid.org/0000-0003-1764-9335"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Scharf","raw_affiliation_strings":["EE Department, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EE Department, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":null,"first_page":"260","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994999766349792,"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/T11034","display_name":"Digital Filter Design and Implementation","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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9977999925613403,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/covariance","display_name":"Covariance","score":0.6361149549484253},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.5925560593605042},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.592540442943573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.572530210018158},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.562135636806488},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5565772652626038},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5499047636985779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5424841046333313},{"id":"https://openalex.org/keywords/linear-filter","display_name":"Linear filter","score":0.43531396985054016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4302109479904175},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.42422887682914734},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3958129286766052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3467402458190918},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.183915913105011},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1265026032924652}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6361149549484253},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.5925560593605042},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.592540442943573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.572530210018158},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.562135636806488},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5565772652626038},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5499047636985779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5424841046333313},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.43531396985054016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4302109479904175},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.42422887682914734},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3958129286766052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3467402458190918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.183915913105011},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1265026032924652},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1980.1171022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1980.1171022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '80. IEEE International Conference on Acoustics, Speech, and Signal Processing","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":7,"referenced_works":["https://openalex.org/W1980871622","https://openalex.org/W1999185746","https://openalex.org/W2015432552","https://openalex.org/W2022554507","https://openalex.org/W2091076937","https://openalex.org/W2091844451","https://openalex.org/W2144667249"],"related_works":["https://openalex.org/W1928658312","https://openalex.org/W1988104711","https://openalex.org/W192914847","https://openalex.org/W2117460863","https://openalex.org/W2153540021","https://openalex.org/W2166930491","https://openalex.org/W2166805299","https://openalex.org/W1975112094","https://openalex.org/W2032159271","https://openalex.org/W1986086798"],"abstract_inverted_index":{"In":[0],"this":[1,51],"paper":[2],"we":[3],"explore":[4],"an":[5,78],"alternative":[6],"solution":[7,54],"to":[8,22,70],"the":[9,61],"general":[10],"nonlinear":[11,57],"least":[12],"squares":[13],"approximation":[14],"problem":[15],"for":[16],"digital":[17],"filter":[18],"design.":[19],"We":[20],"choose":[21],"approximate":[23],"covariance":[24],"sequences":[25,34,42],"because":[26],"they":[27],"arise":[28],"more":[29],"naturally":[30],"than":[31],"unit":[32],"pulse":[33],"when":[35,39],"approximating":[36],"spectra":[37],"and":[38,77],"identifying":[40],"ARMA":[41],"from":[43,50],"random":[44],"data.":[45],"The":[46],"design":[47],"procedure":[48],"resulting":[49],"approach":[52],"requires":[53],"of":[55,63,74],"a":[56,64,72],"algebraic":[58],"equation":[59],"in":[60,68],"form":[62],"polynomial":[65],"rootfinding":[66],"problem,":[67],"addition":[69],"solving":[71],"system":[73],"linear":[75],"equations":[76],"Inverse":[79],"Discrete":[80],"Fourier":[81],"Transform":[82],"(IDFT).":[83]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}