{"id":"https://openalex.org/W2058971360","doi":"https://doi.org/10.1109/tsp.2010.2081984","title":"On the Prediction of a Class of Wide-Sense Stationary Random Processes","display_name":"On the Prediction of a Class of Wide-Sense Stationary Random Processes","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W2058971360","doi":"https://doi.org/10.1109/tsp.2010.2081984","mag":"2058971360"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2081984","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2081984","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://hdl.handle.net/11336/19423","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075237466","display_name":"Juan Miguel Medina","orcid":"https://orcid.org/0000-0003-0370-6837"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Juan Miguel Medina","raw_affiliation_strings":["CONICET, Argentina","Departmento Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"CONICET, Argentina","institution_ids":["https://openalex.org/I151201029"]},{"raw_affiliation_string":"Departmento Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081405312","display_name":"Bruno Cernuschi-Fr\u00edas","orcid":"https://orcid.org/0000-0001-5335-9402"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Bruno Cernuschi-Frias","raw_affiliation_strings":["CONICET, Argentina","Departmento Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"CONICET, Argentina","institution_ids":["https://openalex.org/I151201029"]},{"raw_affiliation_string":"Departmento Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075237466"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":0.9326,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.80969126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"1","first_page":"70","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9684000015258789,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7716489434242249},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6686379313468933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6545736789703369},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.594723641872406},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5164006352424622},{"id":"https://openalex.org/keywords/stationary-process","display_name":"Stationary process","score":0.512199342250824},{"id":"https://openalex.org/keywords/sense","display_name":"Sense (electronics)","score":0.5054848194122314},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44262027740478516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41901612281799316},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35421818494796753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3058410882949829},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26888594031333923},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1698237657546997},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12885254621505737}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7716489434242249},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6686379313468933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6545736789703369},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.594723641872406},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5164006352424622},{"id":"https://openalex.org/C110405555","wikidata":"https://www.wikidata.org/wiki/Q1192209","display_name":"Stationary process","level":2,"score":0.512199342250824},{"id":"https://openalex.org/C143141573","wikidata":"https://www.wikidata.org/wiki/Q7450971","display_name":"Sense (electronics)","level":2,"score":0.5054848194122314},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44262027740478516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41901612281799316},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35421818494796753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3058410882949829},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26888594031333923},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1698237657546997},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12885254621505737},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2010.2081984","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2081984","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:ri.conicet.gov.ar:11336/19423","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/19423","pdf_url":null,"source":{"id":"https://openalex.org/S4306402455","display_name":"CONICET Digital (CONICET)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148385","host_organization_name":"Biomedicine Research Institute of Buenos Aires - CONICET - Partner Institute of the Max Planck Society","host_organization_lineage":["https://openalex.org/I4210148385"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ri.conicet.gov.ar:11336/19423","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/19423","pdf_url":null,"source":{"id":"https://openalex.org/S4306402455","display_name":"CONICET Digital (CONICET)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148385","host_organization_name":"Biomedicine Research Institute of Buenos Aires - CONICET - Partner Institute of the Max Planck Society","host_organization_lineage":["https://openalex.org/I4210148385"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2439265903","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G7378882120","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320323257","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"},{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1486874193","https://openalex.org/W1594563152","https://openalex.org/W1945843680","https://openalex.org/W1969238838","https://openalex.org/W1999785435","https://openalex.org/W2009597763","https://openalex.org/W2014768409","https://openalex.org/W2017182152","https://openalex.org/W2025071437","https://openalex.org/W2040275951","https://openalex.org/W2041676209","https://openalex.org/W2071307652","https://openalex.org/W2102175125","https://openalex.org/W2144181355","https://openalex.org/W2145712485","https://openalex.org/W2331834750","https://openalex.org/W4232278572","https://openalex.org/W4234225207","https://openalex.org/W4237523781","https://openalex.org/W4300293005","https://openalex.org/W4300825479","https://openalex.org/W7056871082"],"related_works":["https://openalex.org/W4244397147","https://openalex.org/W2387429421","https://openalex.org/W1856504924","https://openalex.org/W1576374431","https://openalex.org/W1505071137","https://openalex.org/W1995317503","https://openalex.org/W1776998237","https://openalex.org/W1509721188","https://openalex.org/W4205784855","https://openalex.org/W3017162862"],"abstract_inverted_index":{"We":[0,68],"prove":[1,41],"that":[2,42],"under":[3,76],"suitable":[4],"conditions,":[5,78],"a":[6,53,65],"multi-band":[7],"wide":[8],"sense":[9],"stationary":[10],"stochastic":[11],"process":[12],"can":[13,82],"be":[14,83],"linearly":[15],"predicted":[16],"at":[17,27],"time":[18],"with":[19,61],"arbitrarily":[20],"small":[21],"error":[22],"using":[23],"past":[24,48],"samples":[25,49,81],"taken":[26],"uniform":[28,47,80],"rate.":[29],"This":[30],"result":[31],"generalizes":[32],"previous":[33],"similar":[34,77],"results":[35],"for":[36,72],"band-limited":[37,74],"signals.":[38],"Moreover":[39],"we":[40],"the":[43,58,62,73],"prediction":[44],"problem":[45],"from":[46],"is":[50],"equivalent":[51],"to":[52],"disjoint":[54],"translates":[55],"condition":[56],"on":[57],"spectrum":[59],"together":[60],"divergence":[63],"of":[64],"logarithmic":[66],"integral.":[67],"also":[69],"show":[70],"that,":[71],"case,":[75],"non":[79],"taken.":[84]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
