{"id":"https://openalex.org/W2066163412","doi":"https://doi.org/10.1109/tit.1970.1054488","title":"Estimating the amplitude of a sinusoid from noisy random samples (Corresp.)","display_name":"Estimating the amplitude of a sinusoid from noisy random samples (Corresp.)","publication_year":1970,"publication_date":"1970-07-01","ids":{"openalex":"https://openalex.org/W2066163412","doi":"https://doi.org/10.1109/tit.1970.1054488","mag":"2066163412"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1970.1054488","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1970.1054488","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5084944772","display_name":"Arthur J. Collmeyer","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. Collmeyer","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103079783","display_name":"S.C. Gupta","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Gupta","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084944772"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.31077802,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"4","first_page":"487","last_page":"489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9488000273704529,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9488000273704529,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.944100022315979,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/amplitude","display_name":"Amplitude","score":0.6926561594009399},{"id":"https://openalex.org/keywords/sinusoid","display_name":"Sinusoid","score":0.6805127263069153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.620991587638855},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5516579151153564},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5307034850120544},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5299859046936035},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5051916241645813},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.46639034152030945},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.4575999081134796},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4544248878955841},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42976728081703186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3911476731300354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24212563037872314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11347001791000366},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09527954459190369}],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6926561594009399},{"id":"https://openalex.org/C2776417487","wikidata":"https://www.wikidata.org/wiki/Q103142","display_name":"Sinusoid","level":2,"score":0.6805127263069153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.620991587638855},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5516579151153564},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5307034850120544},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5299859046936035},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5051916241645813},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.46639034152030945},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4575999081134796},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4544248878955841},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42976728081703186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3911476731300354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24212563037872314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11347001791000366},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09527954459190369},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1970.1054488","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1970.1054488","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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":2,"referenced_works":["https://openalex.org/W209589608","https://openalex.org/W2005581903"],"related_works":["https://openalex.org/W4306957617","https://openalex.org/W2364109525","https://openalex.org/W2085254699","https://openalex.org/W2394114487","https://openalex.org/W2507946942","https://openalex.org/W2036197519","https://openalex.org/W2348249889","https://openalex.org/W3109702176","https://openalex.org/W2384408821","https://openalex.org/W2151952539"],"abstract_inverted_index":{"The":[0,15,29],"problem":[1],"of":[2,6,38],"estimating":[3],"the":[4,20,39,45],"amplitude":[5],"a":[7,24,36],"sinusoid":[8],"from":[9],"noisy":[10],"random":[11],"samples":[12],"is":[13,33],"examined.":[14],"maximum-likelihood":[16],"procedure,":[17],"applied":[18],"in":[19],"strong-signal":[21],"case,":[22],"yields":[23],"simple":[25],"(albeit":[26],"nonlinear)":[27],"estimate.":[28],"mean-squared":[30],"estimation":[31],"error":[32],"obtained":[34],"as":[35,42,44],"function":[37],"sample":[40],"size":[41],"well":[43],"signal-to-noise":[46],"ratio.":[47]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
