{"id":"https://openalex.org/W1525548555","doi":"https://doi.org/10.1109/icassp.1984.1172316","title":"Power spectrum estimation by means of relative-entropy minimization with uncertain constraints","display_name":"Power spectrum estimation by means of relative-entropy minimization with uncertain constraints","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1525548555","doi":"https://doi.org/10.1109/icassp.1984.1172316","mag":"1525548555"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1984.1172316","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1984.1172316","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/1269503","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101427209","display_name":"Ryan F. Johnson","orcid":"https://orcid.org/0000-0003-1246-8076"},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Johnson","raw_affiliation_strings":["Information Technology Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA","institution_ids":["https://openalex.org/I1288214837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108223361","display_name":"John E. Shore","orcid":null},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Shore","raw_affiliation_strings":["Information Technology Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA","institution_ids":["https://openalex.org/I1288214837"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1288214837"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.05197106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"558","last_page":"561"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9878000020980835,"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/T11236","display_name":"Control Systems and Identification","score":0.9860000014305115,"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/maximum-entropy-spectral-estimation","display_name":"Maximum entropy spectral estimation","score":0.7640517354011536},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.7617743015289307},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6689252257347107},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6576378345489502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6068152189254761},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.5978752374649048},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5978310108184814},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5849717259407043},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.529954731464386},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5297309756278992},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4736783802509308},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44198864698410034},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4135132431983948},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38273608684539795},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32052963972091675},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1737867295742035}],"concepts":[{"id":"https://openalex.org/C89735579","wikidata":"https://www.wikidata.org/wiki/Q6795894","display_name":"Maximum entropy spectral estimation","level":3,"score":0.7640517354011536},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.7617743015289307},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6689252257347107},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6576378345489502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6068152189254761},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.5978752374649048},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5978310108184814},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5849717259407043},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.529954731464386},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5297309756278992},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4736783802509308},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44198864698410034},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4135132431983948},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38273608684539795},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32052963972091675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1737867295742035},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.1984.1172316","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1984.1172316","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:zenodo.org:1269503","is_oa":true,"landing_page_url":"https://zenodo.org/record/1269503","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:1269503","is_oa":true,"landing_page_url":"https://zenodo.org/record/1269503","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1496923911","https://openalex.org/W1966387528","https://openalex.org/W1977828379","https://openalex.org/W2052958516","https://openalex.org/W2068375500","https://openalex.org/W2089611415","https://openalex.org/W2104936830","https://openalex.org/W2133661249","https://openalex.org/W2135983473","https://openalex.org/W2154945989","https://openalex.org/W2160709761","https://openalex.org/W2294604761","https://openalex.org/W2585273560","https://openalex.org/W3016005719","https://openalex.org/W3093664000","https://openalex.org/W4249186015","https://openalex.org/W6629474112","https://openalex.org/W6784656030"],"related_works":["https://openalex.org/W2132953787","https://openalex.org/W262848098","https://openalex.org/W1966654446","https://openalex.org/W2073470747","https://openalex.org/W2039232173","https://openalex.org/W3170569884","https://openalex.org/W2161544911","https://openalex.org/W309135373","https://openalex.org/W2614538623","https://openalex.org/W3125290703"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,22,68,92,111],"new":[4,116,146],"multisignal":[5,122],"spectrum-analysis":[6],"method":[7,19,117,147],"based":[8,74],"on":[9,75],"the":[10,39,49,54,61,65,79,82,145],"relative-entropy":[11,95,123],"principle":[12],"(\"principle":[13],"of":[14,24,33,38,42,48,53,64,67,78,81,94,121,144],"minimum":[15],"cross":[16],"entropy\").":[17],"The":[18,115,129],"simultaneously":[20],"estimates":[21,47],"number":[23],"power":[25],"spectra":[26,66],"given":[27],"(1)":[28],"an":[29,119,151],"initial":[30],"(\"prior\")":[31],"estimate":[32],"each,":[34],"(2)":[35],"imprecise":[36,76],"values":[37],"autocorrelation":[40,55],"function":[41],"their":[43],"sum,":[44],"and":[45,70,134,150],"(3)":[46],"error":[50,113],"in":[51],"measurement":[52],"values.":[56],"One":[57],"application":[58],"is":[59,88,118,155],"to":[60,98,106,109],"separate":[62],"estimation":[63],"signal":[69,83],"independent":[71],"additive":[72],"noise,":[73],"measurements":[77],"autocorrelations":[80],"plus":[84],"noise.":[85],"A":[86],"derivation":[87],"sketched,":[89],"beginning":[90],"with":[91,136],"discussion":[93],"minimization":[96],"subject":[97],"quadratic":[99],"constraints":[100,105],"that":[101],"require":[102],"certain":[103],"linear":[104],"hold":[107],"approximately,":[108],"within":[110],"specified":[112],"bound.":[114],"extension":[120],"spectrum":[124],"analysis":[125],"(with":[126],"exact":[127],"autocorrelations).":[128],"two":[130],"methods":[131],"are":[132,140,148],"compared,":[133],"connections":[135],"previous":[137],"related":[138],"work":[139],"indicated.":[141],"Mathematical":[142],"properties":[143],"discussed,":[149],"illustrative":[152],"numerical":[153],"example":[154],"presented.":[156]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}