A Self-Adjusting Simple Hyperstable Adaptive Recursive Algorithm

Adaptive infinite impulse response (IIR), or recursive, filters are less attractive mainly because of the stability and the difficulties associated with their adaptive algorithms. Hyperstability theory when simplified and adapted for digital signal processing offers a new class of IIR filters, simpl...

Full description

Saved in:
Bibliographic Details
Published in:International journal of modelling & simulation Vol. 27; no. 2; pp. 164 - 170
Main Authors: Sezer, O., Ferdjallah, M.
Format: Journal Article
Language:English
Published: Calgary Taylor & Francis 2007
Taylor & Francis Ltd
Subjects:
Algorithms
Design
hyperstability
pole-zero placement
Self-adjusting
Signal processing
simple hyper-stable adaptive recursive filter
strictly positive real
Studies
ISSN:0228-6203, 1925-7082
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Adaptive infinite impulse response (IIR), or recursive, filters are less attractive mainly because of the stability and the difficulties associated with their adaptive algorithms. Hyperstability theory when simplified and adapted for digital signal processing offers a new class of IIR filters, simple hyperstable adaptive recursive filters (SHARFs), which is directly related to strictly positive real (SPR) transfer functions. One of the most important drawbacks of the SHARF algorithm is the presence of the unknown denominator in the transfer function that must be SPR in order to ensure convergence. In this paper, SHARF is investigated with SPR transfer functions designed without any priori knowledge of the filter parameters by the pole-zero placement on the unit circle method and made self-adjusting. To demonstrate self-adjustment of the algorithm, SHARF algorithm using constraint least-mean square (LMS) method is applied to a pure four-pole autoregressive process.
AbstractList Adaptive infinite impulse response (IIR), or recursive, filters are less attractive mainly because of the stability and the difficulties associated with their adaptive algorithms. Hyperstability theory when simplified and adapted for digital signal processing offers a new class of IIR filters, simple hyperstable adaptive recursive filters (SHARFs), which is directly related to strictly positive real (SPR) transfer functions. One of the most important drawbacks of the SHARF algorithm is the presence of the unknown denominator in the transfer function that must be SPR in order to ensure convergence. In this paper, SHARF is investigated with SPR transfer functions designed without any priori knowledge of the filter parameters by the pole-zero placement on the unit circle method and made self-adjusting. To demonstrate self-adjustment of the algorithm, SHARF algorithm using constraint least-mean square (LMS) method is applied to a pure four-pole autoregressive process.
Adaptive infinite impulse response (IIR), or recursive, filters are less attractive mainly because of the stability and the difficulties associated with their adaptive algorithms. Hyperstability theory when simplified and adapted for digital signal processing offers a new class of IIR filters, simple hyperstable adaptive recursive filters (SHARFs), which is directly related to strictly positive real (SPR) transfer functions. One of the most important drawbacks of the SHARF algorithm is the presence of the unknown denominator in the transfer function that must be SPR in order to ensure convergence. In this paper, SHARF is investigated with SPR transfer functions designed without any priori knowledge of the filter parameters by the pole-zero placement on the unit circle method and made self-adjusting. To demonstrate self-adjustment of the algorithm, SHARF algorithm using constraint least-mean square (LMS) method is applied to a pure four-pole autoregressive process. [PUBLICATION ABSTRACT]
Author Ferdjallah, M.
Sezer, O.
Author_xml – sequence: 1
  givenname: O.
  surname: Sezer
  fullname: Sezer, O.
  organization: Department of Electrical and Computer Engineering, The University of Tennessee
– sequence: 2
  givenname: M.
  surname: Ferdjallah
  fullname: Ferdjallah, M.
  organization: Department of Electrical and Computer Engineering, The University of Tennessee
BookMark eNqFkFFLwzAUhYNMcJv-BSm-tyZpuqZvlqFOGAhOn0OS3syOtqlJquzf2zL37NM9D985F74FmnW2A4RuCU4I5vgeU8pXFKcJxThPCGGMMpJeoDkpaBbnmNMZmk9QPFFXaOH9AWOW05zM0UMZ7aAxcVkdBh_qbh_t6rZvINoce3A-SDXmspJ9qL8hegM9OD-lstlbV4fP9hpdGtl4uPm7S_Tx9Pi-3sTb1-eXdbmNNcU0xFIzVhWGMyWZZFrrlLOKVhpgxaQimVTcFAVXGYBSwBlTDEOVQkqMzAkt0iW6O-32zn4N4IM42MF140tBCS9yXGRkhFYnSDvrvQMjele30h0FwWKSJc6yxCRLnGWNxfJUrDtjXSt_rGsqEeSxsc442enai_SfjV97o3L0
Cites_doi 10.1109/PROC.1977.10722
ContentType Journal Article
Copyright Copyright 2007 Taylor and Francis Group LLC 2007
Copyright ACTA Press 2007
Copyright_xml – notice: Copyright 2007 Taylor and Francis Group LLC 2007
– notice: Copyright ACTA Press 2007
DBID AAYXX
CITATION
3V.
7SC
7TB
7WY
7WZ
7XB
87Z
88I
8FD
8FE
8FG
8FK
8FL
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BEZIV
BGLVJ
CCPQU
DWQXO
FR3
FRNLG
F~G
GNUQQ
HCIFZ
JQ2
K60
K6~
KR7
L.-
L6V
L7M
L~C
L~D
M0C
M2P
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQBIZ
PQBZA
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
PYYUZ
Q9U
DOI 10.1080/02286203.2007.11442413
DatabaseName CrossRef
ProQuest Central (Corporate)
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
ABI/INFORM Collection
ABI/INFORM Global (PDF only)
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Collection
Science Database (Alumni Edition)
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
ABI/INFORM Collection (Alumni)
Materials Science & Engineering Collection
ProQuest Central
ProQuest Central UK/Ireland
ProQuest SciTech Premium Collection Technology Collection Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
PROQUEST
Business Premium Collection
ProQuest Technology Collection
ProQuest One
ProQuest Central
Engineering Research Database
Business Premium Collection (Alumni)
ABI/INFORM Global (Corporate)
ProQuest Central Student
SciTech Premium Collection
ProQuest Computer Science Collection
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
Civil Engineering Abstracts
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
ABI/INFORM Global
Science Database (ProQuest)
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Business
ProQuest One Business (Alumni)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
ABI/INFORM Collection China
ProQuest Central Basic
DatabaseTitle CrossRef
ProQuest Business Collection (Alumni Edition)
ProQuest Central Student
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
SciTech Premium Collection
ProQuest Central China
ABI/INFORM Complete
ProQuest One Applied & Life Sciences
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Business Premium Collection
ABI/INFORM Global
Engineering Database
ProQuest Science Journals (Alumni Edition)
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest Business Collection
ProQuest One Academic UKI Edition
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
ABI/INFORM Global (Corporate)
ProQuest One Business
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Central (Alumni Edition)
ProQuest One Community College
ProQuest Central
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ProQuest Central Korea
Advanced Technologies Database with Aerospace
ABI/INFORM Complete (Alumni Edition)
Civil Engineering Abstracts
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
ABI/INFORM China
ProQuest SciTech Collection
Computer and Information Systems Abstracts Professional
Advanced Technologies & Aerospace Database
Materials Science & Engineering Collection
ProQuest One Business (Alumni)
ProQuest Central (Alumni)
Business Premium Collection (Alumni)
DatabaseTitleList
ProQuest Business Collection (Alumni Edition)
Database_xml – sequence: 1
  dbid: BENPR
  name: PROQUEST
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
EISSN 1925-7082
EndPage 170
ExternalDocumentID 1530345441
10_1080_02286203_2007_11442413
11442413
Genre Article
Feature
GroupedDBID -~X
0BK
0R~
29J
30N
5GY
7WY
88I
8FE
8FG
8FL
8R4
8R5
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABJCF
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABUWG
ABXUL
ABXYU
ACGFO
ACGFS
ACGOD
ACIWK
ACTIO
ADCVX
ADGTB
ADUMR
AEISY
AEYOC
AFKRA
AFRVT
AGBKS
AGDLA
AHDZW
AIJEM
AIYEW
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
ARAPS
AWYRJ
AZQEC
BENPR
BEZIV
BGLVJ
BLEHA
BPHCQ
CCCUG
CCPQU
CS3
DGEBU
DKSSO
DU5
DWQXO
EBS
EJD
FRNLG
GNUQQ
H13
HCIFZ
K60
K6~
KYCEM
L6V
M0C
M2P
M4Z
M7S
O9-
P2P
P62
PHGZM
PHGZT
PQBIZ
PQBZA
PQGLB
PQQKQ
PROAC
PTHSS
Q2X
QAV
RNANH
ROSJB
RTWRZ
SJN
SNACF
TASJS
TBQAZ
TDBHL
TEN
TFL
TFT
TFW
TN5
TTHFI
TUROJ
ZGOLN
AAYXX
ACTTO
ADMLS
ADXEU
AEHZU
AEZBV
AFBWG
AFFHD
AFION
AGVKY
AGWUF
AGYFW
AI.
AKHJE
AKMBP
ALRRR
AMATQ
BGSSV
BWMZZ
CITATION
CYRSC
DAOYK
FETWF
IFELN
IPNFZ
LJTGL
NUSFT
OPCYK
RIG
TAJZE
VH1
3V.
7SC
7TB
7XB
8FD
8FK
FR3
JQ2
KR7
L.-
L7M
L~C
L~D
PKEHL
PQEST
PQUKI
PRINS
PUEGO
Q9U
ID FETCH-LOGICAL-c202t-ac44d9f84ba4a4ccc384d2dcee64ab15ab8f998b5eebbe844b40ed3e31fa71293
IEDL.DBID BENPR
ISSN 0228-6203
IngestDate Sat Aug 23 13:04:56 EDT 2025
Sat Nov 29 05:20:06 EST 2025
Mon Oct 20 23:43:22 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c202t-ac44d9f84ba4a4ccc384d2dcee64ab15ab8f998b5eebbe844b40ed3e31fa71293
Notes SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
PQID 218970951
PQPubID 42905
PageCount 7
ParticipantIDs proquest_journals_218970951
crossref_primary_10_1080_02286203_2007_11442413
informaworld_taylorfrancis_310_1080_02286203_2007_11442413
PublicationCentury 2000
PublicationDate 2007-00-00
PublicationDateYYYYMMDD 2007-01-01
PublicationDate_xml – year: 2007
  text: 2007-00-00
PublicationDecade 2000
PublicationPlace Calgary
PublicationPlace_xml – name: Calgary
PublicationTitle International journal of modelling & simulation
PublicationYear 2007
Publisher Taylor & Francis
Taylor & Francis Ltd
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis Ltd
References CIT0001
References_xml – ident: CIT0001
  doi: 10.1109/PROC.1977.10722
SSID ssj0047271
Score 1.6466422
Snippet Adaptive infinite impulse response (IIR), or recursive, filters are less attractive mainly because of the stability and the difficulties associated with their...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Index Database
Publisher
StartPage 164
SubjectTerms Algorithms
Design
hyperstability
pole-zero placement
Self-adjusting
Signal processing
simple hyper-stable adaptive recursive filter
strictly positive real
Studies
SummonAdditionalLinks – databaseName: Taylor & Francis Online Journals
  dbid: TFW
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF5EPHixPrFWZQ9el6bJJNl4MoilB-nBVuwt7LNWalua6O93Jw9oEfGgtxDYJczuzHwzmfmGkJsosj4Y4TNQJmTABTDpRZYJKYWSnoyCoGwUfoyHQz6ZJJu9MFhWiTG0rYgiSluNyi1k3lTEdZGyJfK9oCIgdIAe8OeQM8MO2mNV37j_0hhjcO65HJrnljBc0zQJ_7jNln_aYi_9Zq1LF9Rv_cfHH5KDGoDStLoxR2THLI5JqwajtFb1_ITcpXRk5pal-g0Hfi2mdDRDJmE6cJErtsNI95xqsUJ7SZ8wbY-V8DSdT5frWfH6fkqe-w_j-wGrxy0w5Xt-wYQC0InlIAUIUEoFHLSvnReNQMheKCS3LjiToTFSGg4gwTMak6hWxAgbzsjuYrkw54Qm7mWoekYkkQEdc4lmxMTcSwIQgdZt0m2EnK0qVo2s15CV1gLCAZlx1gioTW43zyIrynyGrYaPZMFvizvNyWW1iuaZwzZJjADz4i9bd8h-le3FpMwl2S3WH-aK7KnPYpavr8u7-AWtPdrA
  priority: 102
  providerName: Taylor & Francis
Title A Self-Adjusting Simple Hyperstable Adaptive Recursive Algorithm
URI https://www.tandfonline.com/doi/abs/10.1080/02286203.2007.11442413
https://www.proquest.com/docview/218970951
Volume 27
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: ABI/INFORM Collection
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 20090430
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: 7WY
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/abicomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ABI/INFORM Global
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 20090430
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: M0C
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/abiglobal
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Advanced Technologies & Aerospace Database
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 20090430
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: P5Z
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 20090430
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: M7S
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: PROQUEST
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 20090430
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: BENPR
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database (ProQuest)
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 20090430
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: M2P
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
– providerCode: PRVAWR
  databaseName: Taylor & Francis Online Journals
  customDbUrl:
  eissn: 1925-7082
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0047271
  issn: 0228-6203
  databaseCode: TFW
  dateStart: 19810101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT4QwEG58Hbz4Nq6vcPDayJYBihfFlXXX7K4EWF8X0paSeFkfu_r7baEYjYkevEzKEBLSaWem0_b7EDryvJKAZASDkC4GygBz2ysx45wJbnPPcaqLwgN_NKJ3d0FszuZMzbHKxidWjrp4ErpGfqxCUeDrfOD0-QVr0ii9uWoYNObRogYqU8N88TwaxUnjikEF54oyjxCKPWI7zRVhDa6tdFpVoxiqVQHoHaZv0ekbdukPX10FoO7qP399Da2YzNMK66GyjubkZAOtmizUMnN8uonOQiuNBl0cXlyN06w_urTS_jAeRFbvPo6SNAvPVTu8COOsfxNZSdQZJ6luhYPL66Sf9YZbaNyNsk4PG54FLIhNZpgJgCIoKXAGDIQQDoWCFCp8esB422WclmpVxl0pOZcUgIMtC109LZmv84VttDB5msgdZAVK6Yq2ZIEnofAp1_5D-tQOHGBOUbTQcdO_-XMNp5G3G5RSYxHNjOnnjUVa6OSrGfJZVcgoa9aR3Pnr473GIrmZm9P80xy7v77dQ8t1HVeXW_bRwuz1TR6gJfE-e5y-HqJ5__b-0Iw39TS0O1qSWEs_VTJ2H5TMurcfQsLYqA
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb5tAEB6lTqXmkkcfyrsc2uMqGMawVIoaauOYBLuWwVV6orvLIuXiJLabKj8q_7G7wEaJKrWnHHpbDQIJ5ttvHsvMAHzwvNJByRyCQnYIUoaE215JGOdMcJt7rlsVCif-aEQvLoLxCtybWhj9W6XhxIqoiyuhc-RHyhQFvvYHPl_fED00Sh-umgkaNSrO5d0vFbEtjuOeUu9Hx-lHWXdAmqECRKg4f0mYQCyCkiJnyFAI4VIsnELZCg8Zb3cYp6UKQXhHSs4lReRoy0KnCkvma-OonvsCVlHFXXpbDe2uIX5UrkA1oM9xKPEc2zUFybqVt5JpUd0zUcUgqM-zntjCJ51S_7AMlbnrb_xnH2oT1hu_2grrjbAFK3L2GjYaH9tqGGzxBk5CK42SPgl7Z9M0i0enVhoPx0lkDb6Po0mahV_UOuyF4yz-FlmTqDudpHoVJqdfJ3E2GL6F6bO8xztoza5mchusQAk7oi1Z4EksfMo1O0qf2oGLzC2KHTgy-syv62Yhedv0YG0QoOd--rlBwA58eqz2fFmlacp6pkru_uvmPYOAvGGeRf6g_t2_Xn0PrwbZMMmTeHS-B2t1xlonlvahtZz_lAfwUtwuLxfzwwrjFvx4bqz8Bj0mMlo
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB4BrRCX0qd4tc2hPVqbTSaJg4QgZbNsSthGmyyivaS240hcFsouIH4a_652EldFldoTh96siRIp8Zf5ZsbzAPjg-7WDkjkEhfQIUoaE235NGOdMcJv7rtsUCqfBeEzPzsJsCe5NLYxOqzQ6sVHU1YXQMfKeoqIw0PZAr-6yIrLBcP_yB9EDpPRBq5mm0SLkWN7dKu9tvpcM1FZ_dJxhXByOSDdggAjl8y8IE4hVWFPkDBkKIVyKlVMp3vCR8b7HOK2VO8I9KTmXFJGjLSsdNqxZoIlSPXcZngToU51NlnnfDAmgMguaYX2OQ4nv2K4pTtZtvZVMi9r-icofQX229YAXH3RN_YMlGuobrv_HH-05POvsbStqf5AXsCRnL2G9s72tTrPNX8FBZOVxOiTR4PM0L5LxkZUnJ1kaW6OvWTzJi-iTWkeDKCuS09iaxIfTSa5XUXr0ZZIUo5PXMH2U93gDK7OLmdwAK1RCT_QlC32JVUC51poyoHboInOrahN6Zm_Ly7aJSNk3vVk7NOh5oEFp0LAJu79DoFw04Zu6nbVSuv-6edugoew00rz8BYWtv159D6sKImWajI-3Ya0NZOt40w6sLK6u5Vt4Km4W5_Ordw3cLfj-2FD5CU7NO2o
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=A+SELF-ADJUSTING+SIMPLE+HYPERSTABLE+ADAPTIVE+RECURSIVE+ALGORITHM&rft.jtitle=International+journal+of+modelling+%26+simulation&rft.au=Sezer%2C+O&rft.au=Ferdjallah%2C+M&rft.date=2007&rft.pub=Taylor+%26+Francis+Ltd&rft.issn=0228-6203&rft.eissn=1925-7082&rft.volume=27&rft.issue=2&rft.spage=164&rft_id=info:doi/10.1080%2F02286203.2007.11442413&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=1530345441
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0228-6203&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0228-6203&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0228-6203&client=summon