Modifier formula on mean square convergence of LMS algorithm

In describing the mean square convergence of the LMS algorithm, the update formula based on independence assumption will bring explicit errors, especially when step-size is large. In this paper, a modifier formula that describes the convergence well, is proposed. The simulations support the proposed...

Full description

Saved in:
Bibliographic Details
Published inElectronics letters Vol. 38; no. 19; p. 1
Main Authors Gu, Yuantao, Tang, Kun, Cui, Huijuan, Du, Wen
Format Journal Article
LanguageEnglish
Published Stevenage John Wiley & Sons, Inc 12.09.2002
Subjects
Online AccessGet full text
ISSN0013-5194
1350-911X

Cover

Abstract In describing the mean square convergence of the LMS algorithm, the update formula based on independence assumption will bring explicit errors, especially when step-size is large. In this paper, a modifier formula that describes the convergence well, is proposed. The simulations support the proposed formula in different conditions.
AbstractList In describing the mean square convergence of the LMS algorithm, the update formula based on independence assumption will bring explicit errors, especially when step-size is large. In this paper, a modifier formula that describes the convergence well, is proposed. The simulations support the proposed formula in different conditions.
Author Tang, Kun
Du, Wen
Gu, Yuantao
Cui, Huijuan
Author_xml – sequence: 1
  givenname: Yuantao
  surname: Gu
  fullname: Gu, Yuantao
– sequence: 2
  givenname: Kun
  surname: Tang
  fullname: Tang, Kun
– sequence: 3
  givenname: Huijuan
  surname: Cui
  fullname: Cui, Huijuan
– sequence: 4
  givenname: Wen
  surname: Du
  fullname: Du, Wen
BookMark eNpdzr1qwzAUBWBRUqiT9h0EXboYdO0ry4IuJfQPHDo0Q7cgy1epgy0lUtznr6GdMh0OfBzOki188HTFMiilyDXA14JlQkCZS9B4w5YpHeZaaK0y9rgJXe96ityFOE6D4cHzkYzn6TSZSNwG_0NxT94SD443m09uhn2I_fl7vGXXzgyJ7v5zxbYvz9v1W958vL6vn5r8WAHmtgQ0FipdWY2mEoRCmtbWyjnoamM7NHWLUpmCnFStUhVoKoBcKa0iIcsVe_ibPcZwmiidd2OfLA2D8RSmtINKAgqhBc70_oIewhT9fG5WBWqJKLH8BQxmU-8
CODEN ELLEAK
ContentType Journal Article
Copyright Copyright The Institution of Engineering & Technology Sep 12, 2002
Copyright_xml – notice: Copyright The Institution of Engineering & Technology Sep 12, 2002
DBID 8FE
8FG
ABJCF
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
GNUQQ
HCIFZ
JQ2
K7-
L6V
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
7SP
8FD
F28
FR3
L7M
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials - QC
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central Korea
ProQuest Central Student
SciTech Premium Collection
ProQuest Computer Science Collection
Computer Science Database
ProQuest Engineering Collection
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
Electronics & Communications Abstracts
Technology Research Database
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle Computer Science Database
ProQuest Central Student
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Engineering Database
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
ProQuest One Academic
ProQuest One Academic (New)
Engineering Research Database
Technology Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
Electronics & Communications Abstracts
DatabaseTitleList Computer Science Database
Engineering Research Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1350-911X
EndPage 1
ExternalDocumentID 3495282851
Genre Feature
GroupedDBID -~X
0R~
0ZK
1OC
29G
3EH
4.4
5GY
6IK
8FE
8FG
96U
AAHJG
AAJGR
ABJCF
ABQXS
ACGFO
ACGFS
ACIWK
ADEYR
AEGXH
AENEX
AFAZI
AFKRA
AIAGR
ALMA_UNASSIGNED_HOLDINGS
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
CS3
DU5
DWQXO
EBS
EJD
ELQJU
F5P
F8P
GNUQQ
GOZPB
GROUPED_DOAJ
GRPMH
HCIFZ
HZ~
IFBGX
IPLJI
JQ2
K7-
L6V
LAI
M43
M7S
MCNEO
MS~
O9-
OK1
P2P
P62
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
RIG
RNS
RUI
TN5
UNMZH
WH7
~ZZ
7SP
8FD
F28
FR3
L7M
PUEGO
ID FETCH-LOGICAL-p614-c314ac1696c94a60e405abc87ff1d8acd4a8b457a2ef57b77619e21ef35c7e053
IEDL.DBID BENPR
ISSN 0013-5194
IngestDate Fri Sep 05 08:50:22 EDT 2025
Fri Jul 25 11:57:32 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 19
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-p614-c314ac1696c94a60e405abc87ff1d8acd4a8b457a2ef57b77619e21ef35c7e053
Notes SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
PQID 1624954454
PQPubID 1936364
PageCount 1
ParticipantIDs proquest_miscellaneous_1651400904
proquest_journals_1624954454
PublicationCentury 2000
PublicationDate 20020912
PublicationDateYYYYMMDD 2002-09-12
PublicationDate_xml – month: 09
  year: 2002
  text: 20020912
  day: 12
PublicationDecade 2000
PublicationPlace Stevenage
PublicationPlace_xml – name: Stevenage
PublicationTitle Electronics letters
PublicationYear 2002
Publisher John Wiley & Sons, Inc
Publisher_xml – name: John Wiley & Sons, Inc
SSID ssj0012997
Score 1.6589729
Snippet In describing the mean square convergence of the LMS algorithm, the update formula based on independence assumption will bring explicit errors, especially when...
SourceID proquest
SourceType Aggregation Database
StartPage 1
SubjectTerms Algorithms
Computer simulation
Convergence
Errors
Mean square values
Title Modifier formula on mean square convergence of LMS algorithm
URI https://www.proquest.com/docview/1624954454
https://www.proquest.com/docview/1651400904
Volume 38
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl: http://www.proquest.com/pqcentral?accountid=15518
  eissn: 1350-911X
  dateEnd: 20141231
  omitProxy: true
  ssIdentifier: ssj0012997
  issn: 0013-5194
  databaseCode: BENPR
  dateStart: 20000106
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Technology Collection
  customDbUrl:
  eissn: 1350-911X
  dateEnd: 20140925
  omitProxy: true
  ssIdentifier: ssj0012997
  issn: 0013-5194
  databaseCode: 8FG
  dateStart: 20000106
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/technologycollection1
  providerName: ProQuest
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEB76uOhBfGK1lhW8BpN0HwkootJaxBbRCr2VfaUKbdLa9v87G5MqCB5ySiYkmc033-7MzgdwYZgRoa8UTnJ87VGFOCg5_o8xGhilmUIrV20x4L03-jhiowoMyr0wrqyyxMQcqE2m3Rr5ZcCdSjKljN7MF55TjXLZ1VJCQxbSCuY6bzFWhXroOmPVoH7XGTy_bPIKCL6i1DRA7kL_IHAeVrq7sFPwQXL77cA9qNh0H7Z_dQk8gKt-Zj4SDF_EEcz1VJIsJTMrU7JcoIMtySvH802UlmQJeeq_Ejmd4MOv3meHMOx2hvc9rxA98OYYKT3dDqjUAY-5jqnkvkVCJZWORJIEJpLaUBkpyoQMbcKEEm4VwoaBTdpMCyfzcAS1NEvtMRAmgkRYjia0TWNhcC6Ih2QKXWO51Q1olu8-LgbucvzzmRtwvjmNQ87lEWRqs7W7BlkWcjOfnvx_i1PYysVTcsWFJtRWn2t7hjF8pVpQjboPrcI9X7HdoI8
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LS8NAEB5qPagH8YnVqivoMdiku9kWLOKjpbUPRCv0VvYVFdqktS3ij_O_ORuTKgjeesgpmYXdmZ35JjO7H8CpZpp7BSkxySkoh0r0g8LH_VhGAS0Vkyhluy06fv2J3vVYLwOf6VkY21aZ-sTYUetI2X_k565vWZIpZfRyNHYsa5StrqYUGiKhVtCV-Iqx5GBH03y8Ywo3qTRuUd9nnlerdm_qTsIy4IwwNDmq6FKhXL_sqzIVfsEgghFSlXgQuLoklKaiJCnjwjMB45LbtN94rgmKTHHLq4DDLsEyLdIy5n7L19XO_cO8jIG-nqcUCgiV6B-HH0ex2gasJ_CTXH3byyZkTLgFa78uJdyGi3akXwOMlsTi2dlAkCgkQyNCMhmjPRkSN6rHZzYNiQLSaj8SMXjGtZq-DHegu4jZ70I2jEKzB4RxN-DGR5F4LTSmnvgIJtESjG9UDvLp3PvJPpn0f7Sag5P5a7RwW7YQoYlm9hsEdQgFC3T__yGOYaXebbf6rUaneQCrMW9LTPaQh-z0bWYOET5M5VGiJAL9BZvFF9uR3Fs
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1dS8MwFL3MCaIP4idOp0bQx7K1S5oVFBFn3dwHghP2NpI0VWFrN7ch_jT_nTddOwXBtz30Kb2B9J7cnNvc5ACcByzgTllKTHLKyqIS46BwcT56aBBIxSRamWqLjlt_pg891svBV3YWxpRVZjExCdRBrMw_8pLtGpVkShkthWlZxGPNvx6NLaMgZXZaMzmNOUSa-vMD07fJVaOGvr5wHP-ue1u3UoUBa4TLkqUqNhXKdj1XeVS4ZY3sRUhV5WFoB1WhAiqqkjIuHB0yLrlJ-bVj67DCFDeaCtjtCqxyc4m7OaTu3y82MDDK80w8AUkS_RPqk_XL34LNlHiSmzlStiGnox3Y-HUd4S5ctuPgLcR1khgmOxsIEkdkqEVEJmNEkiZJiXpyWlOTOCSt9hMRgxf8MtPX4R50lzH2fchHcaQPgDBuh1y7aEIr1OMBJp34CCYRA9rVqgDFbOz9dIZM-j_-LMDZohmxbTYsRKTjmXkH6RySwDI9_L-LU1hDMPRbjU7zCNYTwZZE5aEI-en7TB8jb5jKk8RDBPpLRsQ35SnZ9Q
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=article&rft.atitle=Modifier+formula+on+mean+square+convergence+of+LMS+algorithm&rft.jtitle=Electronics+letters&rft.au=Gu%2C+Yuantao&rft.au=Tang%2C+Kun&rft.au=Cui%2C+Huijuan&rft.au=Du%2C+Wen&rft.date=2002-09-12&rft.issn=0013-5194&rft.eissn=1350-911X&rft.volume=38&rft.issue=19&rft.spage=1&rft.epage=1&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0013-5194&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0013-5194&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0013-5194&client=summon