{"id":"https://openalex.org/W2074488941","doi":"https://doi.org/10.1137/s0363012900383077","title":"Identifiability and Well-Posedness of Shaping-Filter Parameterizations: A Global Analysis Approach","display_name":"Identifiability and Well-Posedness of Shaping-Filter Parameterizations: A Global Analysis Approach","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2074488941","doi":"https://doi.org/10.1137/s0363012900383077","mag":"2074488941"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012900383077","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012900383077","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5110871127","display_name":"Christopher I. Byrnes","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher I. Byrnes","raw_affiliation_strings":["(, Washington University in St. Louis)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(, Washington University in St. Louis)","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018917817","display_name":"Per Enqvist","orcid":"https://orcid.org/0000-0002-4635-3202"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Per Enqvist","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055347602","display_name":"Anders Lindquist","orcid":"https://orcid.org/0000-0002-2681-8383"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anders Lindquist","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6551,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.92765536,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"41","issue":"1","first_page":"23","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9923999905586243,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9923999905586243,"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/T11236","display_name":"Control Systems and Identification","score":0.9916999936103821,"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":0.9836000204086304,"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/identifiability","display_name":"Identifiability","score":0.8768823146820068},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8105852603912354},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.754326581954956},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6778271198272705},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5688431859016418},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5162379741668701},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.438887357711792},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.43345189094543457},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4282298982143402},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3610190749168396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20542508363723755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18076187372207642},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13652145862579346}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8768823146820068},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8105852603912354},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.754326581954956},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6778271198272705},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5688431859016418},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5162379741668701},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.438887357711792},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.43345189094543457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4282298982143402},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3610190749168396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20542508363723755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18076187372207642},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13652145862579346},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":2,"locations":[{"id":"doi:10.1137/s0363012900383077","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012900383077","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.22.9001","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.9001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.kth.se/optsyst/alq/BEL2.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W19303520","https://openalex.org/W1484928594","https://openalex.org/W1490892813","https://openalex.org/W1524383063","https://openalex.org/W1534388827","https://openalex.org/W1778065289","https://openalex.org/W1783942818","https://openalex.org/W1978743197","https://openalex.org/W1984921590","https://openalex.org/W1999955319","https://openalex.org/W2010730829","https://openalex.org/W2017754977","https://openalex.org/W2022554507","https://openalex.org/W2035516537","https://openalex.org/W2069111276","https://openalex.org/W2070896621","https://openalex.org/W2070928644","https://openalex.org/W2075976062","https://openalex.org/W2076681846","https://openalex.org/W2094507477","https://openalex.org/W2107561939","https://openalex.org/W2110429782","https://openalex.org/W2125368842","https://openalex.org/W2132328168","https://openalex.org/W2133626294","https://openalex.org/W2138056643","https://openalex.org/W2144772747","https://openalex.org/W2144817789","https://openalex.org/W2156841324","https://openalex.org/W2158776854","https://openalex.org/W2174477337","https://openalex.org/W2913465992","https://openalex.org/W4239832335","https://openalex.org/W4301132132"],"related_works":["https://openalex.org/W2350012146","https://openalex.org/W1993453399","https://openalex.org/W2320758659","https://openalex.org/W2014702954","https://openalex.org/W2044115466","https://openalex.org/W2118543409","https://openalex.org/W2019543362","https://openalex.org/W2952713191","https://openalex.org/W4206963229","https://openalex.org/W1561869911"],"abstract_inverted_index":{"In":[0,162],"this":[1,163],"paper,":[2],"we":[3,29,165],"study":[4],"the":[5,8,60,76,79,85,124,186,199,203],"well-posedness":[6],"of":[7,10,16,19,41,48,62,75,88,97,170,176,188,198],"problems":[9,56,133,157],"determining":[11],"shaping":[12,35,189],"filters":[13],"from":[14,119,139,205],"combinations":[15],"finite":[17],"windows":[18],"cepstral":[20,114,171],"coefficients,":[21],"covariance":[22,49,111,177],"lags,":[23],"or":[24,99,116],"Markov":[25,42,117],"parameters.":[26],"For":[27],"example,":[28],"determine":[30],"whether":[31],"there":[32],"exists":[33],"a":[34,38,45,102,135,152,168,174,180],"filter":[36],"with":[37],"prescribed":[39,46],"window":[40,47,169,175],"parameters":[43,201],"and":[44,72,104,113,143,173,195],"lags.":[50],"We":[51],"show":[52],"that":[53,64,137,167],"several":[54],"such":[55,109,132,156],"are":[57],"well-posed":[58],"in":[59,134,158],"sense":[61],"Hadamard;":[63],"is,":[65],"one":[66,92,106,129],"can":[67,147],"prove":[68,166],"existence,":[69,193],"uniqueness":[70],"(identifiability),":[71],"continuous":[73],"dependence":[74,197],"model":[77,200],"on":[78,123,185,202],"measurements.":[80],"Our":[81],"starting":[82],"point":[83],"is":[84],"global":[86],"analysis":[87,146],"linear":[89],"systems,":[90],"where":[91,105],"studies":[93],"an":[94,159],"entire":[95,125],"class":[96],"systems":[98],"models":[100],"as":[101,110,121],"whole,":[103],"views":[107],"measurements,":[108],"lags":[112],"coefficients":[115,172,178],"parameters,":[118],"data":[120],"functions":[122],"class.":[126],"This":[127],"enables":[128],"to":[130,150,155],"pose":[131],"way":[136],"tools":[138],"calculus,":[140],"optimization,":[141],"geometry,":[142],"modern":[144],"nonlinear":[145],"be":[148],"used":[149],"give":[151],"rigorous":[153],"answer":[154],"algorithm-independent":[160],"fashion.":[161],"language,":[164],"yield":[179],"bona":[181],"fide":[182],"coordinate":[183],"system":[184],"space":[187],"filters,":[190],"thereby":[191],"establishing":[192],"uniqueness,":[194],"smooth":[196],"measurements":[204],"data.":[206]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
