{"id":"https://openalex.org/W2040061802","doi":"https://doi.org/10.1109/tac.2013.2251775","title":"Uncertainty Bounds for Spectral Estimation","display_name":"Uncertainty Bounds for Spectral Estimation","publication_year":2013,"publication_date":"2013-03-07","ids":{"openalex":"https://openalex.org/W2040061802","doi":"https://doi.org/10.1109/tac.2013.2251775","mag":"2040061802"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2251775","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2251775","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":["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/A5065730184","display_name":"Johan Karlsson","orcid":"https://orcid.org/0009-0007-3575-6747"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Johan Karlsson","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","Dept. of Electr. & Comput. Eng., University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035194316","display_name":"Tryphon T. Georgiou","orcid":"https://orcid.org/0000-0003-0012-5447"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tryphon T. Georgiou","raw_affiliation_strings":["Department of Electrical Engineering, University of Minnesota, Minneapolis, MN, USA","Dept. of Electr. Eng., Univ. of Minnesota, Minneapolis, MN, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of Minnesota, Minneapolis, MN, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065730184"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":2.9937,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.9238211,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"7","first_page":"1659","last_page":"1673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9868000149726868,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9868000149726868,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.932200014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6311861276626587},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5988600850105286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5475673079490662},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.48474785685539246},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.47578322887420654},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4545218050479889},{"id":"https://openalex.org/keywords/measurement-uncertainty","display_name":"Measurement uncertainty","score":0.4512908458709717},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4372844099998474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4288312792778015},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.41740667819976807},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3981056809425354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3927648067474365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3729475736618042},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2037966549396515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13219955563545227}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6311861276626587},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5988600850105286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5475673079490662},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.48474785685539246},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.47578322887420654},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4545218050479889},{"id":"https://openalex.org/C137209882","wikidata":"https://www.wikidata.org/wiki/Q1403517","display_name":"Measurement uncertainty","level":2,"score":0.4512908458709717},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4372844099998474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4288312792778015},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.41740667819976807},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3981056809425354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3927648067474365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3729475736618042},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2037966549396515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13219955563545227},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2013.2251775","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2251775","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W562148524","https://openalex.org/W1481646516","https://openalex.org/W1504633463","https://openalex.org/W1555603726","https://openalex.org/W1585160083","https://openalex.org/W1604745759","https://openalex.org/W1964919148","https://openalex.org/W1989337816","https://openalex.org/W1996404462","https://openalex.org/W1998549987","https://openalex.org/W2007275810","https://openalex.org/W2019092669","https://openalex.org/W2021097403","https://openalex.org/W2023949578","https://openalex.org/W2031149397","https://openalex.org/W2045463928","https://openalex.org/W2066218102","https://openalex.org/W2095691093","https://openalex.org/W2099280778","https://openalex.org/W2102762459","https://openalex.org/W2106525189","https://openalex.org/W2107847257","https://openalex.org/W2119127629","https://openalex.org/W2125327144","https://openalex.org/W2125368842","https://openalex.org/W2129925290","https://openalex.org/W2130327601","https://openalex.org/W2133186968","https://openalex.org/W2137507407","https://openalex.org/W2138358404","https://openalex.org/W2141844446","https://openalex.org/W2143135249","https://openalex.org/W2159496808","https://openalex.org/W2164240509","https://openalex.org/W2168017692","https://openalex.org/W2169962100","https://openalex.org/W2170060163","https://openalex.org/W2406624004","https://openalex.org/W3139866291","https://openalex.org/W3141607091","https://openalex.org/W4210921079","https://openalex.org/W4234919570","https://openalex.org/W4246360657","https://openalex.org/W4299318877","https://openalex.org/W6683602070"],"related_works":["https://openalex.org/W1972096828","https://openalex.org/W2529137940","https://openalex.org/W4302048708","https://openalex.org/W2359913921","https://openalex.org/W4239740410","https://openalex.org/W1996195943","https://openalex.org/W4205298958","https://openalex.org/W1981385315","https://openalex.org/W2486440955","https://openalex.org/W2050015493"],"abstract_inverted_index":{"The":[0,24],"purpose":[1],"of":[2,13,26,36,58,65,74,89,127,132,174,184],"this":[3,59,78],"paper":[4],"is":[5,30,53,114],"to":[6,54,70,116],"study":[7],"metrics":[8,136,141],"suitable":[9,63],"for":[10,38,142,160,187],"assessing":[11],"uncertainty":[12,44,60,103,168],"power":[14,27,49,99,107],"spectra":[15,28,108],"when":[16],"these":[17],"are":[18],"based":[19],"on":[20,83,139,171],"finite":[21],"second-order":[22],"statistics.":[23],"family":[25],"which":[29,143,157],"consistent":[31],"with":[32,109],"a":[33,90,166,181],"given":[34],"range":[35],"values":[37],"the":[39,43,47,56,72,75,84,94,97,102,120,172,175,180,185],"estimated":[40],"statistics":[41],"represents":[42,79],"set":[45,61,76,95,104],"about":[46],"\u201ctrue\u201d":[48,98],"spectrum.":[50,100],"Our":[51],"aim":[52],"quantify":[55,117,147],"size":[57],"using":[62],"notions":[64],"distance,":[66],"and":[67,96,111,137,162],"in":[68,93,119],"particular,":[69],"compute":[71,163],"diameter":[73],"since":[77],"an":[80],"upper":[81],"bound":[82],"distance":[85],"between":[86],"any":[87],"choice":[88],"nominal":[91],"element":[92],"Since":[101],"may":[105],"contain":[106],"lines":[110],"discontinuities,":[112],"it":[113],"natural":[115],"distances":[118],"weak":[121],"topology-the":[122],"topology":[123],"defined":[124],"by":[125],"continuity":[126],"moments.":[128],"We":[129,150],"provide":[130],"examples":[131],"such":[133],"weakly":[134],"continuous":[135],"focus":[138],"particular":[140],"we":[144],"can":[145],"explicitly":[146],"spectral":[148],"uncertainty.":[149],"then":[151],"consider":[152],"certain":[153],"high":[154],"resolution":[155,189],"techniques":[156],"utilize":[158],"filter-banks":[159,186],"preprocessing,":[161],"worst":[164],"case":[165],"priori":[167,182],"bounds":[169],"solely":[170],"basis":[173],"filter":[176],"dynamics.":[177],"This":[178],"allows":[179],"tuning":[183],"improved":[188],"over":[190],"selected":[191],"frequency":[192],"bands.":[193]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
