{"id":"https://openalex.org/W2134815375","doi":"https://doi.org/10.1109/tsp.2009.2030840","title":"Some Results on the Denoising Problem in the Elliptically Distributed Context","display_name":"Some Results on the Denoising Problem in the Elliptically Distributed Context","publication_year":2009,"publication_date":"2009-08-25","ids":{"openalex":"https://openalex.org/W2134815375","doi":"https://doi.org/10.1109/tsp.2009.2030840","mag":"2134815375"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2030840","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2030840","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090329151","display_name":"Steeve Zozor","orcid":"https://orcid.org/0000-0001-7595-9601"},"institutions":[{"id":"https://openalex.org/I2800493309","display_name":"Grain Inspection, Packers and Stockyards Administration","ror":"https://ror.org/056mcm922","country_code":"US","type":"government","lineage":["https://openalex.org/I1336096307","https://openalex.org/I2800493309"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Steeve Zozor","raw_affiliation_strings":["Department of Images and Signals, Grenoble Laboratory of Images, Speech, Signal and Automatics, Saint-Martin d'Heres, France","GIPSA - Communication Information and Complex Systems"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Images and Signals, Grenoble Laboratory of Images, Speech, Signal and Automatics, Saint-Martin d'Heres, France","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA - Communication Information and Complex Systems","institution_ids":["https://openalex.org/I2800493309","https://openalex.org/I4210124956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108099054","display_name":"Christophe Vignat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Vignat","raw_affiliation_strings":["Institut Gaspard Monge, University of Marne-la-Vall\u00e9e, Marne-la-Vallee, France","Laboratoire d'Informatique Gaspard-Monge","Laboratoire des signaux et syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Gaspard Monge, University of Marne-la-Vall\u00e9e, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.1906,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.94065515,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"58","issue":"1","first_page":"134","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T11186","display_name":"Hydrology and Drought Analysis","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6534491777420044},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.615176796913147},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5657315254211426},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.49533215165138245},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4863324761390686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47748610377311707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4636719226837158},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.42370811104774475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3817920684814453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3540244698524475},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2249242663383484},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1751985251903534},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09281671047210693}],"concepts":[{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6534491777420044},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.615176796913147},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5657315254211426},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.49533215165138245},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4863324761390686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47748610377311707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4636719226837158},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.42370811104774475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3817920684814453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3540244698524475},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2249242663383484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1751985251903534},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09281671047210693},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2009.2030840","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2030840","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:HAL:hal-00448934v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00448934","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2010, 58 (1), pp.134-150. &#x27E8;10.1109/TSP.2009.2030840&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W41409100","https://openalex.org/W45374770","https://openalex.org/W110327982","https://openalex.org/W202794947","https://openalex.org/W367858178","https://openalex.org/W391578156","https://openalex.org/W568726942","https://openalex.org/W1502461990","https://openalex.org/W1574458575","https://openalex.org/W1604805935","https://openalex.org/W1667165204","https://openalex.org/W1966185577","https://openalex.org/W1982290653","https://openalex.org/W1991567646","https://openalex.org/W1998077573","https://openalex.org/W1998619312","https://openalex.org/W1998966727","https://openalex.org/W2006057748","https://openalex.org/W2013369220","https://openalex.org/W2015857191","https://openalex.org/W2016130389","https://openalex.org/W2018871339","https://openalex.org/W2022894179","https://openalex.org/W2023139462","https://openalex.org/W2028119257","https://openalex.org/W2033942034","https://openalex.org/W2049983139","https://openalex.org/W2056481674","https://openalex.org/W2061735246","https://openalex.org/W2072467348","https://openalex.org/W2075037028","https://openalex.org/W2082100828","https://openalex.org/W2092231586","https://openalex.org/W2092887825","https://openalex.org/W2093727046","https://openalex.org/W2099279775","https://openalex.org/W2110045631","https://openalex.org/W2113007636","https://openalex.org/W2113945798","https://openalex.org/W2122861691","https://openalex.org/W2123301390","https://openalex.org/W2125412367","https://openalex.org/W2130836991","https://openalex.org/W2131722136","https://openalex.org/W2142485381","https://openalex.org/W2144615653","https://openalex.org/W2144755793","https://openalex.org/W2145126087","https://openalex.org/W2145768101","https://openalex.org/W2151983721","https://openalex.org/W2153501732","https://openalex.org/W2157005274","https://openalex.org/W2168259464","https://openalex.org/W2487122920","https://openalex.org/W2498388196","https://openalex.org/W2610857016","https://openalex.org/W2751862591","https://openalex.org/W2801179766","https://openalex.org/W3119264854","https://openalex.org/W3215249318","https://openalex.org/W4205767108","https://openalex.org/W4210603359","https://openalex.org/W4230941884","https://openalex.org/W4238162340","https://openalex.org/W4239153265","https://openalex.org/W4242732966","https://openalex.org/W4246756383","https://openalex.org/W4298077331","https://openalex.org/W4299432846","https://openalex.org/W4300223101","https://openalex.org/W4300246981","https://openalex.org/W6636147776","https://openalex.org/W6680941772","https://openalex.org/W6684570489"],"related_works":["https://openalex.org/W2220190985","https://openalex.org/W2346846619","https://openalex.org/W2417295580","https://openalex.org/W1840639769","https://openalex.org/W4250921637","https://openalex.org/W2033612661","https://openalex.org/W4237200122","https://openalex.org/W2055354074","https://openalex.org/W198767307","https://openalex.org/W2014701453"],"abstract_inverted_index":{"The":[0,25,104],"purpose":[1],"of":[2,11,31,38,55,107],"this":[3,69,93],"paper":[4],"is":[5,46,66],"to":[6,90],"revisit":[7],"the":[8,49,56,60,63,76,82,96,108],"denoising":[9,64],"problem":[10,65],"a":[12,20,29,53,84],"multivariate":[13,21,32],"elliptically":[14,22,33],"symmetric":[15,23],"random":[16,35],"vector":[17],"corrupted":[18],"by":[19,100],"noise.":[24],"investigation":[26,94],"begins":[27],"with":[28],"review":[30],"distributed":[34],"vectors":[36],"and":[37,81,102,111],"their":[39],"basic":[40],"but":[41],"important":[42],"properties.":[43],"A":[44],"focus":[45],"made":[47],"on":[48],"Gaussian":[50],"scale":[51],"mixtures,":[52],"subclass":[54],"elliptical":[57,70],"distributions.":[58],"In":[59],"second":[61],"part,":[62],"revisited":[67],"in":[68],"context":[71],"following":[72],"two":[73,97],"classical":[74],"directions:":[75],"minimum":[77],"mean":[78],"square":[79],"error":[80],"maximum":[83],"posteriori":[85],"estimation":[86],"approaches.":[87],"Although":[88],"subject":[89],"some":[91,112],"restrictions,":[92],"extends":[95],"recent":[98],"studies":[99],"Alecu":[101],"Selesnick.":[103],"practical":[105],"use":[106],"proposed":[109],"estimators":[110],"possible":[113],"special":[114],"behaviors":[115],"are":[116],"then":[117],"discussed":[118],"through":[119],"various":[120],"illustrative":[121],"examples.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
