Adaptive quadratic-metric parallel subgradient projection algorithm and its application to acoustic echo cancellation

Adaptive Projected Subgradient Method (APSM) serves as a unified guiding principle of various set-theoretic adaptive filtering algorithms including NLMS/APA. APSM asymptotically minimizes a sequence of non-negative convex functions in a real-Hilbert space. On the other hand, the exponentially weight...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Proceedings of the ... European Signal Processing Conference (EUSIPCO) s. 1 - 5
Hlavní autori: Yukawa, Masahiro, Yamada, Isao
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 01.09.2006
Predmet:
Abstracts
Adaptation models
Hilbert space
Indexes
Signal processing algorithms
Vectors
ISSN:2219-5491, 2219-5491
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Adaptive Projected Subgradient Method (APSM) serves as a unified guiding principle of various set-theoretic adaptive filtering algorithms including NLMS/APA. APSM asymptotically minimizes a sequence of non-negative convex functions in a real-Hilbert space. On the other hand, the exponentially weighted stepsize projection (ESP) algorithm has been reported to converge faster than APA in the acoustic echo cancellation (AEC) problem. In this paper, we first clarify that ESP is derived by APSM in a real Hilbert space with a special inner product. This gives us an interesting interpretation that ESP is based on iterative projections onto the same convex sets as APA with a special metric. We can thus expect that a proper choice of metric will lead to improvement of convergence speed. We then propose an efficient adaptive algorithm named adaptive quadratic-metric parallel subgradient projection (AQ-PSP). Numerical examples demonstrate that AQ-PSP with a very simple metric achieves even better echo canceling ability than ESP, proportionate NLMS, and Euclidean-metric version of AQ-PSP, while keeping low computational complexity.
AbstractList Adaptive Projected Subgradient Method (APSM) serves as a unified guiding principle of various set-theoretic adaptive filtering algorithms including NLMS/APA. APSM asymptotically minimizes a sequence of non-negative convex functions in a real-Hilbert space. On the other hand, the exponentially weighted stepsize projection (ESP) algorithm has been reported to converge faster than APA in the acoustic echo cancellation (AEC) problem. In this paper, we first clarify that ESP is derived by APSM in a real Hilbert space with a special inner product. This gives us an interesting interpretation that ESP is based on iterative projections onto the same convex sets as APA with a special metric. We can thus expect that a proper choice of metric will lead to improvement of convergence speed. We then propose an efficient adaptive algorithm named adaptive quadratic-metric parallel subgradient projection (AQ-PSP). Numerical examples demonstrate that AQ-PSP with a very simple metric achieves even better echo canceling ability than ESP, proportionate NLMS, and Euclidean-metric version of AQ-PSP, while keeping low computational complexity.
Author Yukawa, Masahiro
Yamada, Isao
Author_xml – sequence: 1
  givenname: Masahiro
  surname: Yukawa
  fullname: Yukawa, Masahiro
  email: masahiro@comm.ss.titech.ac.jp
  organization: Dept. of Commun. & Integrated Syst., Tokyo Inst. of Technol., Tokyo, Japan
– sequence: 2
  givenname: Isao
  surname: Yamada
  fullname: Yamada, Isao
  email: isao@comm.ss.titech.ac.jp
  organization: Dept. of Commun. & Integrated Syst., Tokyo Inst. of Technol., Tokyo, Japan
BookMark eNpNjEtqwzAUAEVJoWmaE3SjCxj0ta1lCP1BoJvsw_PTc6KgWK4sF3r7lrSLrmZgYO7ZYkgD3bClUtJV1ji5-Od3bD1NZyGEVkJbVS_ZvPEwlvBJ_GMGn6EErC5UckA-QoYYKfJp7o4ZfKCh8DGnM2EJaeAQjymHcrpwGDwPZeIwjjEgXGtJHDDN08-QE54SRxiQYrzWB3bbQ5xo_ccV2z8_7bev1e795W272VXBiVI5qm1rOrTUgNFeGOU6FH0rwEOLbQ9SWbDorOuUR5DGq6amHozSWlrp9Io9_m4DER3GHC6Qvw6NaKRwTn8D-dtalw
ContentType Conference Proceeding
DBID 6IE
6IL
CBEJK
RIE
RIL
DatabaseName IEEE Electronic Library (IEL) Conference Proceedings
IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume
IEEE Xplore All Conference Proceedings
IEEE Electronic Library (IEL)
IEEE Proceedings Order Plans (POP All) 1998-Present
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
EISSN 2219-5491
EndPage 5
ExternalDocumentID 7071099
Genre orig-research
GroupedDBID 6IE
6IF
6IK
6IL
6IN
AAJGR
AAWTH
ABLEC
ADZIZ
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CBEJK
CHZPO
IEGSK
IPLJI
OCL
RIE
RIL
ID FETCH-LOGICAL-i90t-9e6584bc5e7a43d0429bc0f80ada8c8fa125a5c959b2dca14d276efa423315193
IEDL.DBID RIE
ISSN 2219-5491
IngestDate Wed Aug 27 01:40:40 EDT 2025
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i90t-9e6584bc5e7a43d0429bc0f80ada8c8fa125a5c959b2dca14d276efa423315193
PageCount 5
ParticipantIDs ieee_primary_7071099
PublicationCentury 2000
PublicationDate 2006-Sept.
PublicationDateYYYYMMDD 2006-09-01
PublicationDate_xml – month: 09
  year: 2006
  text: 2006-Sept.
PublicationDecade 2000
PublicationTitle Proceedings of the ... European Signal Processing Conference (EUSIPCO)
PublicationTitleAbbrev EUSIPCO
PublicationYear 2006
Publisher IEEE
Publisher_xml – name: IEEE
SSID ssj0003203526
Score 1.3742191
Snippet Adaptive Projected Subgradient Method (APSM) serves as a unified guiding principle of various set-theoretic adaptive filtering algorithms including NLMS/APA....
SourceID ieee
SourceType Publisher
StartPage 1
SubjectTerms Abstracts
Adaptation models
Hilbert space
Indexes
Signal processing algorithms
Vectors
Title Adaptive quadratic-metric parallel subgradient projection algorithm and its application to acoustic echo cancellation
URI https://ieeexplore.ieee.org/document/7071099
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwELXaioEJUIv4lgdGDPlybY8IUTFVHTp0qy72pVRqk9Im_H58TlVAYmGLvEQ62_fune_uMXafJXGRg8mEZ23oCQpqoT3QCpnSNHTwmIit2IQaj_VsZiYd9nDohUHEUHyGj_QZ3vJdZRtKlT0pwkNjuqyr1LDt1TrkU9KEJnsGLTl_CYWnPfEvwZSAF6OT__3plA2-G-_45AApZ6yDZZ81zw425JX4RwOOdsyKNQlhWU6Duz3xX_Fdky-2oXqr5vvkijc4h9Wi8uz_fc2hdHxZ7_iPB2teV9z7wyDnxdG7QW7pCKza6rgBm45epy9vYq-WIJYmqoVBiiVyK1FBljrCmdxGhY7Agba6AB_JgLRGmjxxFuLMJWqIBfhwKo0pjDtnvbIq8YLxXEupVRJhYWVG8710DBrjoQ9tYkyj7JL1yWLzTTsPY7431tXfy9fsuE1bUF3WDevV2wZv2ZH9rJe77V3YxC8uSqH4
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NTwIxEG0QTfSkBozf9uDR6n60bHs0RoIRCQcO3Ei3nUUS2EXY9ffb6RLUxIu3TS-bTNt586Yz8wi55VGYpVpx5lgbOIICkkkHtEzEOA1dO0yEWmwiGQzkeKyGDXK37YUBAF98Bvf46d_ybWEqTJU9JIiHSu2QXcF5FNTdWtuMShzhbE-vJueuIXPEJ_wlmeIRo3v4v38dkfZ36x0dbkHlmDQgb5Hq0eol-iX6UWmLe2bYAqWwDMXR3Y76z-m6SqcrX79V0k16xZmc6vm0cPz_fUF1bumsXNMfT9a0LKjziF7Qi4JzhNTgIZjX9XFtMuo-j556bKOXwGYqKJkCjCZSIyDRPLaINKkJMhloq6WRmXaxjBZGCZVG1uiQ2yjpQKZdQBWHGMidkGZe5HBKaCqFkEkUQGYExwlfMtQSwo4LbkKIA35GWmixybKeiDHZGOv87-Ubst8bvfUn_ZfB6wU5qJMYWKV1SZrlqoIrsmc-y9l6de039AvDxaU_
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=proceeding&rft.title=Proceedings+of+the+...+European+Signal+Processing+Conference+%28EUSIPCO%29&rft.atitle=Adaptive+quadratic-metric+parallel+subgradient+projection+algorithm+and+its+application+to+acoustic+echo+cancellation&rft.au=Yukawa%2C+Masahiro&rft.au=Yamada%2C+Isao&rft.date=2006-09-01&rft.pub=IEEE&rft.issn=2219-5491&rft.eissn=2219-5491&rft.spage=1&rft.epage=5&rft.externalDocID=7071099
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2219-5491&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2219-5491&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2219-5491&client=summon