{"id":"https://openalex.org/W2087217507","doi":"https://doi.org/10.1109/lsp.2012.2185695","title":"Is Uniqueness Lost for Under-Sampled Continuous-Time Auto-Regressive Processes?","display_name":"Is Uniqueness Lost for Under-Sampled Continuous-Time Auto-Regressive Processes?","publication_year":2012,"publication_date":"2012-01-23","ids":{"openalex":"https://openalex.org/W2087217507","doi":"https://doi.org/10.1109/lsp.2012.2185695","mag":"2087217507"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2012.2185695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2185695","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/175752","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038321378","display_name":"John Paul Ward","orcid":"https://orcid.org/0000-0003-0289-117X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"John Paul Ward","raw_affiliation_strings":["EPFL, STI, Lausanne, Switzerland","STI, EPFL, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPFL, STI, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"STI, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060921980","display_name":"Hagai Kirshner","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Hagai Kirshner","raw_affiliation_strings":["Ecole Polytechnique Federale de Lausanne, Lausanne, VD, CH","STI, EPFL, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Lausanne, Lausanne, VD, CH","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"STI, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027830035","display_name":"Micha\u00ebl Unser","orcid":"https://orcid.org/0000-0003-1248-2513"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Michael Unser","raw_affiliation_strings":["Ecole Polytechnique Federale de Lausanne, Lausanne, VD, CH","STI, EPFL, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Lausanne, Lausanne, VD, CH","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"STI, EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":2.2486,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.89458123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"4","first_page":"183","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9991999864578247,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lebesgue-measure","display_name":"Lebesgue measure","score":0.5737273693084717},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5411185026168823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5293999910354614},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5139860510826111},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.48291322588920593},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.45584553480148315},{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.44982096552848816},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4425473213195801},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4404067397117615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4159259796142578},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.41122400760650635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37527263164520264},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.29386064410209656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2497512698173523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2351948320865631},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11059322953224182}],"concepts":[{"id":"https://openalex.org/C2777105136","wikidata":"https://www.wikidata.org/wiki/Q827230","display_name":"Lebesgue measure","level":3,"score":0.5737273693084717},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5411185026168823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5293999910354614},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5139860510826111},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.48291322588920593},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.45584553480148315},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.44982096552848816},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4425473213195801},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4404067397117615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4159259796142578},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.41122400760650635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37527263164520264},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.29386064410209656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2497512698173523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2351948320865631},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11059322953224182},{"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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lsp.2012.2185695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2185695","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.309.3597","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.3597","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://bigwww.epfl.ch/publications/ward1201.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:175752","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/175752","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:175752","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/78815","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:175752","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/175752","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1987499564","display_name":null,"funder_award_id":"200020-121763","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5599649393","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G628552264","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8555150823","display_name":"Spline methods for the continuous/discrete processing of images","funder_award_id":"121763","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W87496662","https://openalex.org/W331957638","https://openalex.org/W628535066","https://openalex.org/W1492221128","https://openalex.org/W1979756876","https://openalex.org/W2033735082","https://openalex.org/W2089575320","https://openalex.org/W2094823748","https://openalex.org/W2096529484","https://openalex.org/W2101352054","https://openalex.org/W2109999880","https://openalex.org/W2126893830","https://openalex.org/W2135532919","https://openalex.org/W2146399301","https://openalex.org/W2160014433","https://openalex.org/W2316502262","https://openalex.org/W2913465992","https://openalex.org/W4240691156","https://openalex.org/W6680223882","https://openalex.org/W6699473073"],"related_works":["https://openalex.org/W1995524689","https://openalex.org/W2018078545","https://openalex.org/W4320560303","https://openalex.org/W2597963304","https://openalex.org/W3194935856","https://openalex.org/W4300603661","https://openalex.org/W2952246015","https://openalex.org/W2613139642","https://openalex.org/W2952008957","https://openalex.org/W2162722963"],"abstract_inverted_index":{"We":[0,13,42],"consider":[1],"the":[2,39,51,84],"problem":[3,30],"of":[4,36,53],"sampling":[5,85],"continuous-time":[6,24,55],"auto-regressive":[7],"processes":[8],"on":[9],"a":[10,16,22,67],"uniform":[11],"grid.":[12],"investigate":[14],"whether":[15],"given":[17],"sampled":[18,76],"process":[19],"originates":[20],"from":[21],"single":[23],"model,":[25],"and":[26,48],"address":[27],"this":[28,63],"uniqueness":[29],"by":[31],"introducing":[32],"an":[33],"alternative":[34],"description":[35],"poles":[37],"in":[38,62,70],"complex":[40],"plane.":[41,64],"then":[43],"utilize":[44],"Kronecker's":[45],"approximation":[46],"theorem":[47],"prove":[49],"that":[50,74,88],"set":[52],"non-unique":[54],"AR(2)":[56],"models":[57],"has":[58],"Lebesgue":[59],"measure":[60],"zero":[61],"This":[65],"is":[66,89],"key":[68],"aspect":[69],"current":[71],"estimation":[72],"algorithms":[73],"use":[75],"data,":[77],"as":[78],"it":[79],"allows":[80],"one":[81],"to":[82],"remove":[83],"rate":[86],"constraint":[87],"imposed":[90],"currently.":[91]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
