{"id":"https://openalex.org/W1722803426","doi":"https://doi.org/10.1109/icassp.1978.1170386","title":"Some mathematical results on the effects on digital adaptive filters of implementation errors and noise","display_name":"Some mathematical results on the effects on digital adaptive filters of implementation errors and noise","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1722803426","doi":"https://doi.org/10.1109/icassp.1978.1170386","mag":"1722803426"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1978.1170386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1978.1170386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-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/A5064597032","display_name":"A.J. Weiss","orcid":"https://orcid.org/0000-0001-7354-8219"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Weiss","raw_affiliation_strings":["Bell Laboratories, Murray Hill, NJ, USA","Courant Institute of Mathematical Sciences, New York University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Murray Hill, NJ, USA","institution_ids":[]},{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University#TAB#","institution_ids":["https://openalex.org/I36672615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064391008","display_name":"Debasis Mitra","orcid":"https://orcid.org/0000-0002-4351-1252"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Mitra","raw_affiliation_strings":["Bell Laboratories, Murray Hill, NJ, USA","Bell Lab., Murray Hill, NJ (USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Murray Hill, NJ, USA","institution_ids":[]},{"raw_affiliation_string":"Bell Lab., Murray Hill, NJ (USA)","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4249,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62557974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"113","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998000264167786,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998000264167786,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9965999722480774,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mixing","display_name":"Mixing (physics)","score":0.7709883451461792},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7236210107803345},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6653107404708862},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.6211469173431396},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6169094443321228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6109520196914673},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6108958125114441},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.5859377980232239},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.520305871963501},{"id":"https://openalex.org/keywords/uniform-boundedness","display_name":"Uniform boundedness","score":0.5070023536682129},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4701443016529083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3580884337425232},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3170069456100464},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10504043102264404},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10356715321540833}],"concepts":[{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.7709883451461792},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7236210107803345},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6653107404708862},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.6211469173431396},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6169094443321228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6109520196914673},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6108958125114441},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.5859377980232239},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.520305871963501},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.5070023536682129},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4701443016529083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3580884337425232},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3170069456100464},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10504043102264404},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10356715321540833},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1978.1170386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1978.1170386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1508255502","https://openalex.org/W1989695340","https://openalex.org/W2010473430","https://openalex.org/W2021648130","https://openalex.org/W2045978752","https://openalex.org/W2060962965","https://openalex.org/W2089317779","https://openalex.org/W2101415847","https://openalex.org/W2134883135","https://openalex.org/W4206186769"],"related_works":["https://openalex.org/W2044684990","https://openalex.org/W2731533137","https://openalex.org/W2364398160","https://openalex.org/W2016719442","https://openalex.org/W2165154062","https://openalex.org/W2002150241","https://openalex.org/W4302379158","https://openalex.org/W2736066349","https://openalex.org/W2739030229","https://openalex.org/W1495734395"],"abstract_inverted_index":{"Recently,":[0],"we":[1],"have":[2],"shown":[3],"that":[4,22,89],"a":[5,14,26],"necessary":[6],"and":[7,84,110],"sufficient":[8],"condition":[9],"for":[10],"uniform":[11],"convergence":[12],"in":[13,40,59,80],"well-known":[15],"class":[16],"of":[17,32,52,73,77,96,102,113,122],"digital":[18,42],"adaptive":[19],"filters":[20],"is":[21,108,124,135],"the":[23,30,41,53,71,82,103,106,133],"inputs":[24,62],"satisfy":[25],"'mixing":[27],"condition'.":[28],"In":[29],"case":[31],"mixing":[33,83],"inputs,":[34],"system":[35],"noise,":[36],"or":[37],"errors":[38,79,114],"incurred":[39],"implementation,":[43],"with":[44],"bounded":[45,50],"size,":[46],"can":[47],"produce":[48],"only":[49,119],"behavior":[51,101,128],"filter.":[54],"We":[55,69,87],"show":[56,88],"here":[57],"that,":[58],"many":[60],"applications,":[61],"may":[63],"be":[64],"expected":[65],"not":[66,130],"to":[67,99],"mix.":[68],"analyze":[70],"effects":[72],"two":[74],"specific":[75],"types":[76,112],"implementation":[78],"both":[81,111],"nonmixing":[85,109],"cases.":[86],"arbitrarily":[90],"small":[91],"bounds":[92],"on":[93],"each":[94],"type":[95,121],"error":[97,123,134],"leads":[98],"unbounded":[100,127],"filter":[104],"if":[105,118,132],"input":[107],"are":[115],"present.":[116],"However,":[117],"one":[120],"present,":[125],"then":[126],"does":[129],"occur":[131],"small.":[136]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
