{"id":"https://openalex.org/W2158831640","doi":"https://doi.org/10.1109/tit.1957.1057423","title":"On the mean square noise power of an optimum linear discrete filter operating on polynomial plus white noise input","display_name":"On the mean square noise power of an optimum linear discrete filter operating on polynomial plus white noise input","publication_year":1957,"publication_date":"1957-12-01","ids":{"openalex":"https://openalex.org/W2158831640","doi":"https://doi.org/10.1109/tit.1957.1057423","mag":"2158831640"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1957.1057423","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1957.1057423","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/A5010141798","display_name":"Marvin Blum","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Blum","raw_affiliation_strings":["Convair, San Diego, CA, USA"],"affiliations":[{"raw_affiliation_string":"Convair, San Diego, CA, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010141798"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.9672,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.98215103,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"4","first_page":"225","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9929999709129333,"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"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9929999709129333,"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"}},{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9765999913215637,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11236","display_name":"Control Systems and Identification","score":0.9678000211715698,"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/mathematics","display_name":"Mathematics","score":0.7251092791557312},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6062626242637634},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5525434613227844},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.5286075472831726},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5000014305114746},{"id":"https://openalex.org/keywords/noise-power","display_name":"Noise power","score":0.4469463527202606},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44080400466918945},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43197330832481384},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4148717522621155},{"id":"https://openalex.org/keywords/root-mean-square","display_name":"Root mean square","score":0.41133785247802734},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.37783968448638916},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.36319440603256226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21157968044281006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18155395984649658}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7251092791557312},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6062626242637634},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5525434613227844},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5286075472831726},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5000014305114746},{"id":"https://openalex.org/C203234222","wikidata":"https://www.wikidata.org/wiki/Q2133519","display_name":"Noise power","level":3,"score":0.4469463527202606},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44080400466918945},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43197330832481384},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4148717522621155},{"id":"https://openalex.org/C71907059","wikidata":"https://www.wikidata.org/wiki/Q223323","display_name":"Root mean square","level":2,"score":0.41133785247802734},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.37783968448638916},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.36319440603256226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21157968044281006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18155395984649658},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1957.1057423","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1957.1057423","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2048228667","https://openalex.org/W2114683480","https://openalex.org/W2138863413","https://openalex.org/W2169448087","https://openalex.org/W2460826712"],"related_works":["https://openalex.org/W2102148524","https://openalex.org/W2314720829","https://openalex.org/W4385074335","https://openalex.org/W2009454197","https://openalex.org/W2626189183","https://openalex.org/W2626268514","https://openalex.org/W2030139799","https://openalex.org/W324331621","https://openalex.org/W4226285110","https://openalex.org/W4252658191"],"abstract_inverted_index":{"In":[0],"a":[1,21,40,84,115],"recent":[2],"article":[3],"Johnson":[4],"presents":[5],"an":[6,15,56],"asymptotic":[7,147],"formula":[8,58,70,148],"for":[9,59,64,81,101],"the":[10,26,35,49,60,65,77,88,96,102,106,118,138,146],"output":[11,61],"noise":[12,62],"power":[13,63],"of":[14,24,39,51,95,105,117,137],"optimum":[16],"filter":[17],"designed":[18],"to":[19,54,87,122,129],"make":[20],"zero-lag":[22,103],"estimate":[23],"either":[25],"input":[27,36,67,119],"or":[28],"its":[29],"derivatives.":[30],"It":[31,47],"is":[32,48,72,135],"assumed":[33],"that":[34,76],"function":[37,116],"consists":[38],"nonrandom":[41],"polynomial":[42,120],"plus":[43],"stationary":[44],"uncorrelated":[45],"noise.":[46],"purpose":[50],"this":[52],"paper":[53],"present":[55],"exact":[57],"same":[66],"model.":[68],"The":[69],"presented":[71,113],"more":[73],"general":[74],"in":[75,141],"estimation":[78,104],"can":[79],"be":[80],"any":[82],"lag":[83],"with":[85],"respect":[86],"latest":[89],"data":[90],"point.":[91],"Tables":[92],"and":[93,109,125],"graphs":[94],"root":[97,142],"mean":[98,143],"square":[99,144],"error":[100,140],"0th,":[107],"1st,":[108],"2nd":[110],"derivative":[111],"are":[112],"as":[114],"up":[121,128],"degree":[123],"5":[124],"memory":[126],"spans":[127],"100":[130],"sample":[131],"points.":[132],"A":[133],"comparison":[134],"made":[136],"relative":[139],"using":[145],"derived":[149],"by":[150],"Johnson.":[151]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
