{"id":"https://openalex.org/W2055883199","doi":"https://doi.org/10.1109/iswcs.2012.6328411","title":"Second-order analysis of the RC-WL-QLMS algorithm","display_name":"Second-order analysis of the RC-WL-QLMS algorithm","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2055883199","doi":"https://doi.org/10.1109/iswcs.2012.6328411","mag":"2055883199"},"language":"en","primary_location":{"id":"doi:10.1109/iswcs.2012.6328411","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2012.6328411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 International Symposium on Wireless Communication Systems (ISWCS)","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/A5086470760","display_name":"Fernando G. Almeida Neto","orcid":"https://orcid.org/0000-0001-8937-3070"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Fernando G. Almeida Neto","raw_affiliation_strings":["Department of Electronic Systems Engineering, University of S\u00e3o Paulo, Brazil","Dep. of Electronic Systems Engineering University of S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems Engineering, University of S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Dep. of Electronic Systems Engineering University of S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056415233","display_name":"V\u00edtor H. Nascimento","orcid":"https://orcid.org/0000-0002-0543-4735"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Vitor H. Nascimento","raw_affiliation_strings":["Department of Electronic Systems Engineering, University of S\u00e3o Paulo, Brazil","Dep. of Electronic Systems Engineering University of S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems Engineering, University of S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Dep. of Electronic Systems Engineering University of S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086470760"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":0.6858,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70943018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"466","last_page":"470"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9968000054359436,"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":0.9896000027656555,"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/quaternion","display_name":"Quaternion","score":0.7715736627578735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6354585886001587},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5882381200790405},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5444203615188599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4648429751396179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45265430212020874},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4465121626853943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3949090242385864},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0592973530292511}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.7715736627578735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6354585886001587},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5882381200790405},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5444203615188599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4648429751396179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45265430212020874},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4465121626853943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3949090242385864},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0592973530292511},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iswcs.2012.6328411","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2012.6328411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 International Symposium on Wireless Communication Systems (ISWCS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W592889898","https://openalex.org/W1488435683","https://openalex.org/W2017931222","https://openalex.org/W2088025772","https://openalex.org/W2099057098","https://openalex.org/W2106801157","https://openalex.org/W2126537583","https://openalex.org/W2161397505","https://openalex.org/W2168328603","https://openalex.org/W4239240501"],"related_works":["https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W4225472102","https://openalex.org/W2382948573","https://openalex.org/W2887325221","https://openalex.org/W2084651007","https://openalex.org/W2184550115","https://openalex.org/W3121191907","https://openalex.org/W2391028436","https://openalex.org/W2368484960"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,49],"develop":[4],"a":[5,47,51,71],"second-order":[6,52,72],"analysis":[7,38],"of":[8,54],"the":[9,24,37,41,55,65,76],"widely-linear":[10],"reduced-complexity":[11],"quaternion":[12,25],"LMS":[13,43],"algorithm":[14,44],"(RC-WL-QLMS),":[15],"proposed.":[16],"We":[17,60],"use":[18],"an":[19],"approach":[20],"based":[21],"on":[22],"writing":[23],"vectors":[26],"and":[27,68,70],"matrices":[28],"as":[29],"extended":[30],"real":[31,42],"entities,":[32],"in":[33],"order":[34],"to":[35,40,74],"make":[36],"similar":[39],"analysis.":[45],"As":[46],"result,":[48],"obtain":[50],"model":[53],"RC-WL-QLMS":[56],"for":[57,64],"small":[58],"step-sizes.":[59],"present":[61],"simple":[62],"equations":[63],"steady-state":[66],"EMSE":[67],"MSD,":[69],"criterion":[73],"choose":[75],"step-size.":[77]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}