{"id":"https://openalex.org/W2520149352","doi":"https://doi.org/10.1109/tac.2018.2829474","title":"Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral Densities","display_name":"Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral Densities","publication_year":2018,"publication_date":"2018-04-23","ids":{"openalex":"https://openalex.org/W2520149352","doi":"https://doi.org/10.1109/tac.2018.2829474","mag":"2520149352"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2829474","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2829474","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1609.02711","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070905220","display_name":"Giacomo Baggio","orcid":"https://orcid.org/0000-0002-9439-296X"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Baggio","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy","Dipartimento di Ingegneria dell\u2019Informazione Universit\u00e0 di Padova, Padova, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9439-296X","affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005905901","display_name":"Augusto Ferrante","orcid":"https://orcid.org/0000-0002-9001-8962"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Augusto Ferrante","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy","Dipartimento di Ingegneria dell\u2019Informazione Universit\u00e0 di Padova, Padova, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9001-8962","affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":null,"apc_paid":null,"fwci":0.3159,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47041578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"64","issue":"1","first_page":"396","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9940000176429749,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.9695688486099243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6035487651824951},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5897853374481201},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5322123765945435},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.48687615990638733},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4511803388595581},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4334099590778351},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4272933304309845},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16421470046043396},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0718766450881958},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0673224925994873}],"concepts":[{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.9695688486099243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6035487651824951},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5897853374481201},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5322123765945435},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.48687615990638733},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4511803388595581},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4334099590778351},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4272933304309845},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16421470046043396},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0718766450881958},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0673224925994873},{"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/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2018.2829474","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2829474","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1609.02711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.02711","pdf_url":"https://arxiv.org/pdf/1609.02711","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2520149352","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1609.02711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1609.02711","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1609.02711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1609.02711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.02711","pdf_url":"https://arxiv.org/pdf/1609.02711","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2520149352.pdf","grobid_xml":"https://content.openalex.org/works/W2520149352.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W57924352","https://openalex.org/W178677418","https://openalex.org/W595050678","https://openalex.org/W1201575902","https://openalex.org/W1601183739","https://openalex.org/W1966106909","https://openalex.org/W1981842601","https://openalex.org/W2002357820","https://openalex.org/W2013335445","https://openalex.org/W2016046626","https://openalex.org/W2028812282","https://openalex.org/W2036959204","https://openalex.org/W2043230617","https://openalex.org/W2051438607","https://openalex.org/W2058434547","https://openalex.org/W2063084473","https://openalex.org/W2071793632","https://openalex.org/W2078059069","https://openalex.org/W2078998461","https://openalex.org/W2079628196","https://openalex.org/W2089959648","https://openalex.org/W2117360396","https://openalex.org/W2143443158","https://openalex.org/W2163101083","https://openalex.org/W2168079736","https://openalex.org/W2172506337","https://openalex.org/W2249626609","https://openalex.org/W2249639625","https://openalex.org/W2293807537","https://openalex.org/W2495836911","https://openalex.org/W2798813531","https://openalex.org/W2962696261","https://openalex.org/W3100405419","https://openalex.org/W3103985981","https://openalex.org/W3195133498","https://openalex.org/W6602369057","https://openalex.org/W6727148170"],"related_works":["https://openalex.org/W2616091331","https://openalex.org/W2139865669","https://openalex.org/W2018625916","https://openalex.org/W173089498","https://openalex.org/W2185225135","https://openalex.org/W165382048","https://openalex.org/W2033543072","https://openalex.org/W2086742230","https://openalex.org/W2048980536","https://openalex.org/W2963071904","https://openalex.org/W2085233025","https://openalex.org/W2056986269","https://openalex.org/W2136057275","https://openalex.org/W101454927","https://openalex.org/W2242833583","https://openalex.org/W2726132626","https://openalex.org/W225377238","https://openalex.org/W2186776530","https://openalex.org/W152846637","https://openalex.org/W2056523533"],"abstract_inverted_index":{"In":[0],"this":[1,54],"paper,":[2],"the":[3,11,30,41,51,57],"problem":[4],"of":[5,10,15,29,33],"providing":[6],"a":[7,16,34,71,75],"complete":[8,59],"parametrization":[9,60],"minimal":[12],"spectral":[13,19],"factors":[14],"discrete-time":[17],"rational":[18],"density":[20],"is":[21,38,55],"considered.":[22],"The":[23],"desired":[24],"parametrization,":[25],"given":[26],"in":[27,40,50,78],"terms":[28],"all-pass":[31,36],"divisors":[32],"certain":[35],"function,":[37],"established":[39],"most":[42],"general":[43],"setting:":[44],"after":[45],"several":[46],"partial":[47],"results,":[48],"mostly":[49],"continuous-time":[52],"case,":[53],"indeed":[56],"first":[58],"obtained":[61],"without":[62],"resorting":[63],"to":[64,74],"any":[65],"facilitating":[66],"assumption.":[67],"This":[68],"result":[69],"provides":[70],"positive":[72],"answer":[73],"conjecture":[76],"raised":[77],"2016.":[79]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}