{"id":"https://openalex.org/W2154032944","doi":"https://doi.org/10.1109/isspa.2007.4555447","title":"Analysis of a normalized LMS adaptive filter with a singular input covariance matrix","display_name":"Analysis of a normalized LMS adaptive filter with a singular input covariance matrix","publication_year":2007,"publication_date":"2007-02-01","ids":{"openalex":"https://openalex.org/W2154032944","doi":"https://doi.org/10.1109/isspa.2007.4555447","mag":"2154032944"},"language":"en","primary_location":{"id":"doi:10.1109/isspa.2007.4555447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isspa.2007.4555447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 9th International Symposium on Signal Processing and Its Applications","raw_type":"proceedings-article"},"type":"conference-paper","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/A5031130446","display_name":"Eweda Eweda","orcid":"https://orcid.org/0000-0002-6939-2204"},"institutions":[{"id":"https://openalex.org/I182000528","display_name":"Ajman University","ror":"https://ror.org/01j1rma10","country_code":"AE","type":"education","lineage":["https://openalex.org/I182000528"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"Eweda Eweda","raw_affiliation_strings":["Department of Electrical Engineering, Ajman University of Science and Technology, Ajman, UAE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Ajman University of Science and Technology, Ajman, UAE","institution_ids":["https://openalex.org/I182000528"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031130446"],"corresponding_institution_ids":["https://openalex.org/I182000528"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25204097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"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":1.0,"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/T10860","display_name":"Speech and Audio Processing","score":0.9988999962806702,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9988999962806702,"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/adaptive-filter","display_name":"Adaptive filter","score":0.7246708869934082},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6615001559257507},{"id":"https://openalex.org/keywords/kernel-adaptive-filter","display_name":"Kernel adaptive filter","score":0.6222573518753052},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6052436828613281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5894306898117065},{"id":"https://openalex.org/keywords/least-mean-squares-filter","display_name":"Least mean squares filter","score":0.5716197490692139},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.4926660656929016},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4732145369052887},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.47300249338150024},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4662759602069855},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.463284432888031},{"id":"https://openalex.org/keywords/recursive-least-squares-filter","display_name":"Recursive least squares filter","score":0.4281320571899414},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.42770716547966003},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3796471953392029},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.3795861303806305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33442747592926025},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29625147581100464},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11030155420303345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10636827349662781}],"concepts":[{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.7246708869934082},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6615001559257507},{"id":"https://openalex.org/C13107197","wikidata":"https://www.wikidata.org/wiki/Q6394192","display_name":"Kernel adaptive filter","level":4,"score":0.6222573518753052},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6052436828613281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5894306898117065},{"id":"https://openalex.org/C32617633","wikidata":"https://www.wikidata.org/wiki/Q1426666","display_name":"Least mean squares filter","level":3,"score":0.5716197490692139},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.4926660656929016},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4732145369052887},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.47300249338150024},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4662759602069855},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.463284432888031},{"id":"https://openalex.org/C145249878","wikidata":"https://www.wikidata.org/wiki/Q2835868","display_name":"Recursive least squares filter","level":3,"score":0.4281320571899414},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.42770716547966003},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3796471953392029},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.3795861303806305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33442747592926025},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29625147581100464},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11030155420303345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10636827349662781},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isspa.2007.4555447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isspa.2007.4555447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 9th International Symposium on Signal Processing and Its Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W87496662","https://openalex.org/W1547069917","https://openalex.org/W1995426507","https://openalex.org/W1998922549","https://openalex.org/W2112685579","https://openalex.org/W2139092480","https://openalex.org/W4243330440"],"related_works":["https://openalex.org/W2081837274","https://openalex.org/W2185121463","https://openalex.org/W2114287788","https://openalex.org/W2144530466","https://openalex.org/W2356797312","https://openalex.org/W2567448372","https://openalex.org/W2041978417","https://openalex.org/W2331083824","https://openalex.org/W2178901605","https://openalex.org/W1852691615"],"abstract_inverted_index":{"The":[0,32,51,65,137],"paper":[1,142],"analyzes":[2],"the":[3,15,23,27,40,44,49,56,84,88,94,100,110,113,117,123,141],"signal":[4,33,120],"behavior":[5,34,121],"of":[6,26,39,43,48,58,61,87,93,109,112,122,140],"an":[7],"adaptive":[8,59],"filter":[9,28],"whose":[10],"adaptation":[11],"is":[12,30,35,53,81,97],"governed":[13],"by":[14,130,145],"normalized":[16],"least":[17],"mean":[18,41,89],"square":[19,42,90],"(NLMS)":[20],"algorithm":[21,96,101,124],"when":[22],"covariance":[24,115],"matrix":[25],"input":[29,67,114],"singular.":[31],"evaluated":[36],"in":[37,55,107],"terms":[38],"excess":[45,91],"output":[46],"error":[47,92],"filter.":[50],"analysis":[52],"done":[54],"context":[57],"identification":[60],"a":[62,132],"time-invariant":[63],"plant.":[64],"plant":[66,69],"and":[68,74],"noise":[70],"are":[71,143],"assumed":[72],"stationary":[73],"mutually":[75],"independent.":[76],"Under":[77],"these":[78],"assumptions,":[79],"it":[80],"found":[82],"that":[83,106],"long-term":[85],"average":[86],"NLMS":[95],"proportional":[98],"to":[99],"step":[102,135],"size.":[103,136],"This":[104],"implies":[105],"spite":[108],"singularity":[111],"matrix,":[116],"steady":[118],"state":[119],"can":[125],"be":[126],"made":[127],"arbitrarily":[128],"fine":[129],"using":[131],"sufficiently":[133],"small":[134],"analytical":[138],"results":[139],"supported":[144],"simulations.":[146]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
