{"id":"https://openalex.org/W2144722299","doi":"https://doi.org/10.1109/tit.1968.1054168","title":"On a nonlinear feedback filtering system","display_name":"On a nonlinear feedback filtering system","publication_year":1968,"publication_date":"1968-07-01","ids":{"openalex":"https://openalex.org/W2144722299","doi":"https://doi.org/10.1109/tit.1968.1054168","mag":"2144722299"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054168","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054168","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/A5108469893","display_name":"A. Haddad","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. Haddad","raw_affiliation_strings":["Coordinated Science Laboratory and the Department of Electrical Engineering, University of Illinois, Urbana, IL, USA","University of Illinois at Urbana Champaign"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and the Department of Electrical Engineering, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108469893"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.851,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76261016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"4","first_page":"532","last_page":"535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987000226974487,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9965000152587891,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6910544633865356},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6848791241645813},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6293010711669922},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5894941091537476},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5693906545639038},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5284547805786133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5038043856620789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45257043838500977},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4525338113307953},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.430642306804657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4037245810031891},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.2435062825679779},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14701500535011292},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09974586963653564}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6910544633865356},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6848791241645813},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6293010711669922},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5894941091537476},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5693906545639038},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5284547805786133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5038043856620789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45257043838500977},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4525338113307953},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.430642306804657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4037245810031891},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.2435062825679779},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14701500535011292},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09974586963653564},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054168","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054168","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":11,"referenced_works":["https://openalex.org/W242755951","https://openalex.org/W1969330449","https://openalex.org/W1969755821","https://openalex.org/W2004003571","https://openalex.org/W2039861634","https://openalex.org/W2040877654","https://openalex.org/W2066224827","https://openalex.org/W2096307573","https://openalex.org/W2157875630","https://openalex.org/W3175179020","https://openalex.org/W4213109424"],"related_works":["https://openalex.org/W4308823735","https://openalex.org/W2787240389","https://openalex.org/W1891941889","https://openalex.org/W858561337","https://openalex.org/W2060656492","https://openalex.org/W2127974901","https://openalex.org/W2061496117","https://openalex.org/W1566383096","https://openalex.org/W2070606446","https://openalex.org/W1610671237"],"abstract_inverted_index":{"A":[0],"nonlinear":[1,48],"filtering":[2,17],"scheme":[3],"with":[4,68],"noiseless":[5],"feedback":[6,78],"is":[7,33,41,79,98],"presented,":[8],"based":[9],"on":[10],"a":[11],"consideration":[12],"of":[13,18,85],"the":[14,30,38,47,54,63,74,83,86,90,94,102,105],"minimum-mean-squared":[15],"error":[16],"independent":[19],"signal":[20],"samples":[21],"corrupted":[22],"by":[23,59],"additive":[24],"noise.":[25],"The":[26,71],"explicit":[27],"solution":[28],"for":[29],"general":[31],"case":[32,76],"very":[34],"complex.":[35],"However,":[36],"if":[37],"signal-to-noise":[39],"ratio":[40],"assumed":[42],"to":[43,62,81,89,100],"be":[44,57,82],"large":[45],"and":[46,93],"estimating":[49],"filter":[50],"has":[51],"zero":[52],"memory,":[53],"problem":[55,66],"may":[56],"simplified":[58],"reducing":[60],"it":[61],"zero-memory":[64,91],"prefiltering":[65],"combined":[67],"predictive":[69],"feedback.":[70,95],"improvement":[72],"over":[73],"linear":[75],"without":[77],"shown":[80],"product":[84],"improvements":[87,103],"due":[88],"non-linearities":[92],"An":[96],"example":[97],"considered":[99],"illustrate":[101],"in":[104],"error,":[106]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
