{"id":"https://openalex.org/W2039960940","doi":"https://doi.org/10.1109/icdsp.2009.5201160","title":"A variable step-size proportionate affine projection algorithm for network echo cancellation","display_name":"A variable step-size proportionate affine projection algorithm for network echo cancellation","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2039960940","doi":"https://doi.org/10.1109/icdsp.2009.5201160","mag":"2039960940"},"language":"en","primary_location":{"id":"doi:10.1109/icdsp.2009.5201160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdsp.2009.5201160","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 16th International Conference on Digital Signal Processing","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/A5100635702","display_name":"Ligang Liu","orcid":"https://orcid.org/0000-0003-4352-1431"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ligang Liu","raw_affiliation_strings":["School of Computer Science, Fudan University, Shanghai, China","School of Computer Science  Fudan University  Shanghai 200433  China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Computer Science  Fudan University  Shanghai 200433  China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108413461","display_name":"Masahiro Fukumoto","orcid":null},"institutions":[{"id":"https://openalex.org/I35568498","display_name":"Kochi University of Technology","ror":"https://ror.org/00rghrr56","country_code":"JP","type":"education","lineage":["https://openalex.org/I35568498"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahiro Fukumoto","raw_affiliation_strings":["Department of Information Systems Engineering, Kochi University of Technology, Japan","Department of Information Systems Engineering, Kochi University of Technology, 782-8502, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems Engineering, Kochi University of Technology, Japan","institution_ids":["https://openalex.org/I35568498"]},{"raw_affiliation_string":"Department of Information Systems Engineering, Kochi University of Technology, 782-8502, Japan","institution_ids":["https://openalex.org/I35568498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100622168","display_name":"Shiyong Zhang","orcid":"https://orcid.org/0000-0002-6386-4952"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiyong Zhang","raw_affiliation_strings":["School of Computer Science, Fudan University, Shanghai, China","School of Computer Science  Fudan University  Shanghai 200433  China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Computer Science  Fudan University  Shanghai 200433  China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":null,"first_page":"1","last_page":"6"},"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":0.9997000098228455,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9976999759674072,"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/convergence","display_name":"Convergence (economics)","score":0.8280364274978638},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6581946015357971},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5935913324356079},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5891677737236023},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5597225427627563},{"id":"https://openalex.org/keywords/echo","display_name":"Echo (communications protocol)","score":0.5579755902290344},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5570189952850342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5464176535606384},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5398501753807068},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.4925697445869446},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.448192298412323},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.43814393877983093},{"id":"https://openalex.org/keywords/echo-state-network","display_name":"Echo state network","score":0.4334057569503784},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.413951575756073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29165858030319214},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.22186246514320374},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13601848483085632},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12731477618217468},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.1093517541885376}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.8280364274978638},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6581946015357971},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5935913324356079},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5891677737236023},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5597225427627563},{"id":"https://openalex.org/C2779426996","wikidata":"https://www.wikidata.org/wiki/Q18389128","display_name":"Echo (communications protocol)","level":2,"score":0.5579755902290344},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5570189952850342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5464176535606384},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5398501753807068},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4925697445869446},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.448192298412323},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.43814393877983093},{"id":"https://openalex.org/C172025690","wikidata":"https://www.wikidata.org/wiki/Q5332763","display_name":"Echo state network","level":4,"score":0.4334057569503784},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.413951575756073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29165858030319214},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.22186246514320374},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13601848483085632},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12731477618217468},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.1093517541885376},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icdsp.2009.5201160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdsp.2009.5201160","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 16th International Conference on Digital Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1489080068","https://openalex.org/W1492221128","https://openalex.org/W1547069917","https://openalex.org/W2043467869","https://openalex.org/W2099464104","https://openalex.org/W2105591650","https://openalex.org/W2108816505","https://openalex.org/W2141793797","https://openalex.org/W2147553224","https://openalex.org/W2152264220","https://openalex.org/W2160498832","https://openalex.org/W2166922380","https://openalex.org/W4243330440","https://openalex.org/W6684325061"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2146343568","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2013643406","https://openalex.org/W2561494732","https://openalex.org/W2358531026","https://openalex.org/W2765706868","https://openalex.org/W4323051461"],"abstract_inverted_index":{"For":[0],"a":[1,42,53],"network":[2],"canceler,":[3],"whose":[4],"input":[5],"is":[6,15,46],"mainly":[7],"speech,":[8],"the":[9,23,29,58,76,82,87,92],"proportionate":[10,25],"affine":[11],"projection":[12],"algorithm":[13],"(PAPA)":[14],"expected":[16],"to":[17,62],"present":[18],"faster":[19],"convergence":[20,34,66,89],"speed":[21,35,67,90],"than":[22],"existing":[24],"NLMS":[26],"algorithms.":[27],"However,":[28],"performance":[30],"criteria":[31],"of":[32,91],"fast":[33,65,88],"conflicts":[36],"with":[37],"low":[38,69],"steady-state":[39,70,83],"misalignment":[40,84],"when":[41],"constant":[43],"step-size":[44,55],"parameter":[45],"applied.":[47],"In":[48],"this":[49],"article":[50],"we":[51],"introduce":[52],"variable":[54],"technique":[56],"into":[57],"PAPA":[59],"in":[60],"order":[61],"achieve":[63],"both":[64],"and":[68],"misalignment.":[71],"Simulation":[72],"results":[73],"show":[74],"that":[75],"proposed":[77],"approach":[78],"can":[79],"greatly":[80],"improve":[81],"without":[85],"sacrificing":[86],"PAPA.":[93]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
