{"id":"https://openalex.org/W2098172886","doi":"https://doi.org/10.1109/tit.1968.1054118","title":"A summary, by illustrations, of least-squares filters with constraints","display_name":"A summary, by illustrations, of least-squares filters with constraints","publication_year":1968,"publication_date":"1968-03-01","ids":{"openalex":"https://openalex.org/W2098172886","doi":"https://doi.org/10.1109/tit.1968.1054118","mag":"2098172886"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054118","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/A5052591609","display_name":"Jon F. Claerbout","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Claerbout","raw_affiliation_strings":["Department of Geophysics, University of Stanford, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Geophysics, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052591609"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":1.6929,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8892261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"2","first_page":"269","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9724000096321106,"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/wiener-filter","display_name":"Wiener filter","score":0.7741298079490662},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6871746182441711},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6329554915428162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6186535358428955},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5544907450675964},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.506318211555481},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4739154279232025},{"id":"https://openalex.org/keywords/wiener-deconvolution","display_name":"Wiener deconvolution","score":0.4728270471096039},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4671117067337036},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.45656782388687134},{"id":"https://openalex.org/keywords/recursive-least-squares-filter","display_name":"Recursive least squares filter","score":0.4453234076499939},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.44171416759490967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4163815379142761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.340726375579834},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28217262029647827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1510569155216217},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.06888580322265625}],"concepts":[{"id":"https://openalex.org/C18537770","wikidata":"https://www.wikidata.org/wiki/Q25523","display_name":"Wiener filter","level":2,"score":0.7741298079490662},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6871746182441711},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6329554915428162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6186535358428955},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5544907450675964},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.506318211555481},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4739154279232025},{"id":"https://openalex.org/C15652857","wikidata":"https://www.wikidata.org/wiki/Q599016","display_name":"Wiener deconvolution","level":4,"score":0.4728270471096039},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4671117067337036},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.45656782388687134},{"id":"https://openalex.org/C145249878","wikidata":"https://www.wikidata.org/wiki/Q2835868","display_name":"Recursive least squares filter","level":3,"score":0.4453234076499939},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.44171416759490967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4163815379142761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.340726375579834},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28217262029647827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1510569155216217},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.06888580322265625},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C30044814","wikidata":"https://www.wikidata.org/wiki/Q11334452","display_name":"Blind deconvolution","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054118","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":3,"referenced_works":["https://openalex.org/W2112008664","https://openalex.org/W2151978562","https://openalex.org/W2162681512"],"related_works":["https://openalex.org/W2591816639","https://openalex.org/W2363395155","https://openalex.org/W1986055485","https://openalex.org/W2276822462","https://openalex.org/W4247791375","https://openalex.org/W1529631489","https://openalex.org/W2094499330","https://openalex.org/W1968584123","https://openalex.org/W1980676446","https://openalex.org/W1528607246"],"abstract_inverted_index":{"Several":[0],"methods":[1],"of":[2,6,55,80],"combining":[3],"a":[4,10,31,67,92],"number":[5],"time":[7,82],"series":[8,12,83],"into":[9],"single":[11],"are":[13,16,24,73],"discussed.":[14],"They":[15,41],"all":[17],"individual":[18],"filtering":[19,28,45],"followed":[20],"by":[21],"summation":[22],"and":[23,84,88],"somewhat":[25],"like":[26],"Wiener":[27,44],"in":[29,46,52,90],"that":[30,47],"least-squares":[32],"criterion":[33],"is":[34,50],"used":[35],"to":[36,95],"design":[37],"the":[38,53,59,78],"filter":[39,60,86],"coefficients.":[40],"differ":[42],"from":[43],"signal":[48,68],"information":[49],"given":[51,65],"form":[54],"various":[56],"constraints":[57],"on":[58],"coefficients":[61],"rather":[62],"than":[63],"being":[64],"as":[66,94],"correlation":[69],"function.":[70],"The":[71],"equations":[72],"worked":[74],"out":[75],"explicitly":[76],"for":[77],"case":[79],"two":[81],"three":[85],"points":[87],"presented":[89],"such":[91],"way":[93],"make":[96],"generalization":[97],"clear.":[98]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}