{"id":"https://openalex.org/W2144633467","doi":"https://doi.org/10.1109/tassp.1987.1165207","title":"Fixed-point roundoff error analysis of the exponentially windowed RLS algorithm for time-varying systems","display_name":"Fixed-point roundoff error analysis of the exponentially windowed RLS algorithm for time-varying systems","publication_year":1987,"publication_date":"1987-06-01","ids":{"openalex":"https://openalex.org/W2144633467","doi":"https://doi.org/10.1109/tassp.1987.1165207","mag":"2144633467"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1987.1165207","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165207","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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/A5066118236","display_name":"S.H. Ardalan","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. Ardalan","raw_affiliation_strings":["Center for Communications and Signal Processing, Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC, USA"],"affiliations":[{"raw_affiliation_string":"Center for Communications and Signal Processing, Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111911519","display_name":"S.T. Alexander","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Alexander","raw_affiliation_strings":["Center for Communications and Signal Processing, Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC, USA"],"affiliations":[{"raw_affiliation_string":"Center for Communications and Signal Processing, Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066118236"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":2.0939,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.87229529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":"6","first_page":"770","last_page":"783"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10860","display_name":"Speech and Audio Processing","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/algorithm","display_name":"Algorithm","score":0.6709810495376587},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5273990035057068},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5032011866569519},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4846373200416565},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.452546089887619},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40885311365127563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3557080030441284},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34285879135131836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11636671423912048},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08218419551849365}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6709810495376587},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5273990035057068},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5032011866569519},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4846373200416565},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.452546089887619},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40885311365127563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3557080030441284},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34285879135131836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11636671423912048},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08218419551849365},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1987.1165207","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165207","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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":22,"referenced_works":["https://openalex.org/W1540723801","https://openalex.org/W1557066113","https://openalex.org/W1840819751","https://openalex.org/W1870618606","https://openalex.org/W1983627164","https://openalex.org/W1989089733","https://openalex.org/W2029246754","https://openalex.org/W2093356003","https://openalex.org/W2100710931","https://openalex.org/W2101903757","https://openalex.org/W2103325786","https://openalex.org/W2111529101","https://openalex.org/W2123575410","https://openalex.org/W2125659977","https://openalex.org/W2150716835","https://openalex.org/W2157850096","https://openalex.org/W2159115091","https://openalex.org/W2160671339","https://openalex.org/W2168107019","https://openalex.org/W2584176047","https://openalex.org/W6638746746","https://openalex.org/W6684899585"],"related_works":["https://openalex.org/W1634993130","https://openalex.org/W1602624896","https://openalex.org/W32300376","https://openalex.org/W1519862060","https://openalex.org/W1974979356","https://openalex.org/W2084061773","https://openalex.org/W2794917831","https://openalex.org/W2104564563","https://openalex.org/W2013108996","https://openalex.org/W3023224836"],"abstract_inverted_index":{"A":[0],"fixed-point":[1],"roundoff":[2,52],"error":[3,53],"analysis":[4],"of":[5,23,34,112],"the":[6,21,24,32,35,48,51,66,87,94,109,113],"exponentially":[7],"windowed":[8],"RLS":[9],"algorithm":[10,36,67,75],"is":[11,14,63,68,91,97],"presented.":[12],"It":[13,62],"shown":[15,64],"that":[16,65,93],"a":[17,98],"tradeoff":[18],"exists":[19],"in":[20],"choice":[22],"forgetting":[25],"factor":[26],"\u03bb.":[27],"In":[28],"order":[29],"to":[30,37,45],"reduce":[31],"sensitivity":[33],"additive":[38],"noise,":[39],"\u03bb":[40,71],"must":[41],"be":[42],"chosen":[43],"close":[44],"one.":[46],"On":[47],"other":[49],"hand,":[50],"increases":[54],"as":[55],"<tex":[56,79],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57,80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\lambda":[58,81],"\\rightarrow":[59,82],"1</tex>":[60,83],".":[61,84],"stabilized":[69],"with":[70],"<":[72],"1.":[73],"The":[74],"may":[76],"diverge":[77],"for":[78],"To":[85],"derive":[86],"theoretical":[88,110],"results,":[89],"it":[90],"assumed":[92],"input":[95],"signal":[96],"white":[99],"Gaussian":[100],"random":[101],"process.":[102],"Finally,":[103],"simulations":[104],"are":[105],"presented":[106],"which":[107],"confirm":[108],"findings":[111],"paper.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
