{"id":"https://openalex.org/W2160014433","doi":"https://doi.org/10.1109/tsp.2011.2161983","title":"A Sampling Theory Approach for Continuous ARMA Identification","display_name":"A Sampling Theory Approach for Continuous ARMA Identification","publication_year":2011,"publication_date":"2011-07-20","ids":{"openalex":"https://openalex.org/W2160014433","doi":"https://doi.org/10.1109/tsp.2011.2161983","mag":"2160014433"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2161983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2161983","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/170663","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022992780","display_name":"Simona Maggio","orcid":"https://orcid.org/0000-0001-5653-937X"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simona Maggio","raw_affiliation_strings":["Department of Electronics Computer Science and Systems, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics Computer Science and Systems, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"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":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":3.2926,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.92353905,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"59","issue":"10","first_page":"4620","last_page":"4634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9988999962806702,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9988999962806702,"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/T11236","display_name":"Control Systems and Identification","score":0.9987000226974487,"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":0.994700014591217,"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/estimator","display_name":"Estimator","score":0.6975507736206055},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6443116664886475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6373348236083984},{"id":"https://openalex.org/keywords/aliasing","display_name":"Aliasing","score":0.6264790892601013},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.582702100276947},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5207548141479492},{"id":"https://openalex.org/keywords/autoregressive\u2013moving-average-model","display_name":"Autoregressive\u2013moving-average model","score":0.5200952291488647},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.48070579767227173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47061043977737427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4643810987472534},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4394468665122986},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4380556643009186},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.43030422925949097},{"id":"https://openalex.org/keywords/slice-sampling","display_name":"Slice sampling","score":0.4284720718860626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3152209222316742},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.27308475971221924},{"id":"https://openalex.org/keywords/importance-sampling","display_name":"Importance sampling","score":0.22935986518859863},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.22397902607917786},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1076374351978302}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6975507736206055},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6443116664886475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6373348236083984},{"id":"https://openalex.org/C4069607","wikidata":"https://www.wikidata.org/wiki/Q868732","display_name":"Aliasing","level":3,"score":0.6264790892601013},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.582702100276947},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5207548141479492},{"id":"https://openalex.org/C74883015","wikidata":"https://www.wikidata.org/wiki/Q290467","display_name":"Autoregressive\u2013moving-average model","level":3,"score":0.5200952291488647},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.48070579767227173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47061043977737427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4643810987472534},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4394468665122986},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4380556643009186},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.43030422925949097},{"id":"https://openalex.org/C170593435","wikidata":"https://www.wikidata.org/wiki/Q4128565","display_name":"Slice sampling","level":4,"score":0.4284720718860626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3152209222316742},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.27308475971221924},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.22935986518859863},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.22397902607917786},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1076374351978302},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"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":4,"locations":[{"id":"doi:10.1109/tsp.2011.2161983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2161983","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.309.5903","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.5903","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/kirshner1104.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:170663","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170663","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":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"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:170663","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/73227","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":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"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":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:170663","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170663","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":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"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/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":57,"referenced_works":["https://openalex.org/W87496662","https://openalex.org/W167008880","https://openalex.org/W1492221128","https://openalex.org/W1514558801","https://openalex.org/W1536997931","https://openalex.org/W1570089119","https://openalex.org/W1570180454","https://openalex.org/W1579559187","https://openalex.org/W1613238992","https://openalex.org/W1764115161","https://openalex.org/W1968500955","https://openalex.org/W1970128476","https://openalex.org/W1979026404","https://openalex.org/W1984136264","https://openalex.org/W2009223494","https://openalex.org/W2017186117","https://openalex.org/W2027623916","https://openalex.org/W2033735082","https://openalex.org/W2037489965","https://openalex.org/W2069104034","https://openalex.org/W2080040531","https://openalex.org/W2089575320","https://openalex.org/W2094823748","https://openalex.org/W2096529484","https://openalex.org/W2098410722","https://openalex.org/W2101352054","https://openalex.org/W2109120417","https://openalex.org/W2109999880","https://openalex.org/W2119337797","https://openalex.org/W2122238092","https://openalex.org/W2126893830","https://openalex.org/W2128912491","https://openalex.org/W2129898633","https://openalex.org/W2132105090","https://openalex.org/W2135532919","https://openalex.org/W2140820915","https://openalex.org/W2149134319","https://openalex.org/W2152625495","https://openalex.org/W2153058280","https://openalex.org/W2156841324","https://openalex.org/W2165474791","https://openalex.org/W2169354510","https://openalex.org/W2171737256","https://openalex.org/W2316502262","https://openalex.org/W2502619309","https://openalex.org/W2503658958","https://openalex.org/W2904241843","https://openalex.org/W4206196235","https://openalex.org/W4230960434","https://openalex.org/W4231367092","https://openalex.org/W4292170079","https://openalex.org/W4300293005","https://openalex.org/W6634360839","https://openalex.org/W6638085082","https://openalex.org/W6679441128","https://openalex.org/W6680223882","https://openalex.org/W6699473073"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W2909957174","https://openalex.org/W3188646203","https://openalex.org/W136674370","https://openalex.org/W2105527480","https://openalex.org/W2139476852","https://openalex.org/W2067753569","https://openalex.org/W2354460942","https://openalex.org/W2388903058"],"abstract_inverted_index":{"The":[0,13,63,81],"problem":[1,22],"of":[2,41,91],"estimating":[3],"continuous-domain":[4],"autoregressive":[5],"moving-average":[6],"processes":[7],"from":[8,79],"sampled":[9,34],"data":[10],"is":[11,55,67],"considered.":[12],"proposed":[14,64,100],"approach":[15,53,101],"incorporates":[16],"the":[17,21,30,33,42,60,92,99,104],"sampling":[18,93],"process":[19],"into":[20],"formulation":[23],"while":[24],"introducing":[25],"exponential":[26,46],"models":[27],"for":[28,107],"both":[29],"continuous":[31],"and":[32,48],"processes.":[35],"We":[36],"derive":[37],"an":[38,51],"exact":[39],"evaluation":[40],"discrete-domain":[43],"power-spectrum":[44],"using":[45],"B-splines":[47],"further":[49],"suggest":[50],"estimation":[52],"that":[54,77,98],"based":[56],"on":[57],"digitally":[58],"filtering":[59],"available":[61],"data.":[62],"functional,":[65],"which":[66],"related":[68],"to":[69,86],"Whittle's":[70],"likelihood":[71],"function,":[72],"exhibits":[73],"several":[74],"local":[75],"minima":[76],"originate":[78],"aliasing.":[80],"global":[82],"minimum,":[83],"however,":[84],"corresponds":[85],"a":[87],"maximum-likelihood":[88],"estimator,":[89],"regardless":[90],"step.":[94],"Experimental":[95],"results":[96],"indicate":[97],"closely":[102],"follows":[103],"Cram\u00e9r-Rao":[105],"bound":[106],"various":[108],"aliasing":[109],"configurations.":[110]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}