New algorithm for spectral factorization and its practical application

In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:ECC : 2001 European Control Conference : 4-7 September 2001 S. 3104 - 3109
Hauptverfasser: Jezek, J., Hromcik, M., Sebek, M.
Format: Tagungsbericht Journal Article
Sprache:Englisch
Veröffentlicht: IEEE 01.09.2001
Schlagworte:
Accuracy
Algorithms
Computation
Computational efficiency
Discrete Fourier transforms
Factorization
Fourier transforms
Interpolation
Polynomials
Signal processing algorithms
Sound filters
Spectra
Spectral factorization. Polynomial design methods
Vectors
ISBN:9783952417362, 395241736X
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical application. Namely the problem of computing an H 2 -optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [12] to improve behavior of moderate quality loudspeakers. Involved spectral factorization is resolved by our new method and its performance is compared with existing algorithms.
AbstractList In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical application. Namely the problem of computing an H 2 -optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [12] to improve behavior of moderate quality loudspeakers. Involved spectral factorization is resolved by our new method and its performance is compared with existing algorithms.
In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical application. Namely the problem of computing an H sub(2)-optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [12] to improve behavior of moderate quality loudspeakers. Involved spectral factorization is resolved by our new method and its performance is compared with existing algorithms.
Author Sebek, M.
Jezek, J.
Hromcik, M.
Author_xml – sequence: 1
  givenname: J.
  surname: Jezek
  fullname: Jezek, J.
  email: jezek@utia.cas.cz
  organization: Inst. of Inf. Theor. & Autom. Prague, Prague, Czech Republic
– sequence: 2
  givenname: M.
  surname: Hromcik
  fullname: Hromcik, M.
  email: m.hromcik@c-a-k.cz
  organization: Centre for Appl. Cybern., Czech Tech. Univ. in Prague, Prague, Czech Republic
– sequence: 3
  givenname: M.
  surname: Sebek
  fullname: Sebek, M.
  organization: Centre for Appl. Cybern., Czech Tech. Univ. in Prague, Prague, Czech Republic
BookMark eNotkM1OwzAQhC0BElD6AIiLj1wavPFfckRRC0gVXOAcbZINGKVJsF0heHqM2tPszHzaw1yy03EaibFrEFkuSyjv1lWV5UJAZoU1ShQnbFnaQpY6V2Clyc_ZMoRPkYjSJK8u2OaZvjkO75N38WPH-8nzMFMbPQ68xzam_Bejm0aOY8ddDHz2KXZt6nGeh3T8t1fsrMch0PKoC_a2Wb9Wj6vty8NTdb9dOchlXJEtdas6bKRsNEDeyEZZLQhBo-hV0yEaK0hbY5VC05IqrAUQhaYGOgC5YLeHv7OfvvYUYr1zoaVhwJGmfajBFEZJZYRJ6M0BdURUz97t0P_Ux2HkH9K3Wio
ContentType Conference Proceeding
Journal Article
DBID 6IE
6IL
CBEJK
RIE
RIL
7SP
8FD
L7M
DOI 10.23919/ECC.2001.7076408
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
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList
Technology Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EndPage 3109
ExternalDocumentID 7076408
Genre orig-research
GroupedDBID 6IE
6IK
6IL
AAJGR
AAVQY
AAWTH
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CBEJK
IERZE
OCL
RIE
RIL
7SP
8FD
L7M
ID FETCH-LOGICAL-i123t-e795c4dab33b5112b3b4750ea15a0f4bdaa670e576744a6ce487711085eb1d113
IEDL.DBID RIE
ISBN 9783952417362
395241736X
IngestDate Fri Jul 11 13:03:32 EDT 2025
Wed Aug 27 02:49:55 EDT 2025
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i123t-e795c4dab33b5112b3b4750ea15a0f4bdaa670e576744a6ce487711085eb1d113
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Conference-1
ObjectType-Feature-3
content type line 23
SourceType-Conference Papers & Proceedings-2
PQID 1686434606
PQPubID 23500
PageCount 6
ParticipantIDs ieee_primary_7076408
proquest_miscellaneous_1686434606
PublicationCentury 2000
PublicationDate 20010901
PublicationDateYYYYMMDD 2001-09-01
PublicationDate_xml – month: 09
  year: 2001
  text: 20010901
  day: 01
PublicationDecade 2000
PublicationTitle ECC : 2001 European Control Conference : 4-7 September 2001
PublicationTitleAbbrev ECC
PublicationYear 2001
Publisher IEEE
Publisher_xml – name: IEEE
SSID ssj0001967364
Score 1.3086627
Snippet In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier...
SourceID proquest
ieee
SourceType Aggregation Database
Publisher
StartPage 3104
SubjectTerms Accuracy
Algorithms
Computation
Computational efficiency
Discrete Fourier transforms
Factorization
Fourier transforms
Interpolation
Polynomials
Signal processing algorithms
Sound filters
Spectra
Spectral factorization. Polynomial design methods
Vectors
Title New algorithm for spectral factorization and its practical application
URI https://ieeexplore.ieee.org/document/7076408
https://www.proquest.com/docview/1686434606
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT8MwDI4G4gAXHhtivBQkjmRbmzRpztMmTtMOIO1WJakHlUaLuo7fj9OWbRJcuNWqUlWWZfuL_dmEPGoZjqx1joWcGyZiqZkGKxigPSF-AI5CvWxCzWbxYqHnHfK05cIAQN18BgP_WNfy08Jt_FXZUCHoFp7Ze6CUbLhau_sU7TuU_BYnriMMSyi0A3a2cthUNUOuAz2cjMceHQaD9qPtdpVfLrmOM9PT__3hGentCHt0vg1F56QD-QU52Zs12CVTdGfUrN6KMqvePyjmqrRmWZZmRZulOy0jk5o8pVm1pi2BCt_vVbl75HU6eRk_s3aJAsswKFUMlI6cSI3l3PrkynIrMEsAE0RmtBQ2NUaqEUR-qI8w0gEiGOW5ARF68TQI-CU5zIscrgh1RsZhACK0LsK4z7XTWii9BEBMlIayT7peI8lnMycjaZXRJw8_Kk3Qdn1BwuRQbNZJIGNMiARiqOu_j96Q46bny_d03ZLDqtzAHTlyX1W2Lu9rA_gGTZ2s_w
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEF5KFdSLj1aszxU8mjbJbh57Li0Va-mhQm9hdzPVQE0kTf39ziaxLejFW4awIQzDzHw7880Q8iB811ZKa8tlTFo89IUlQHEL0J4QPwBDoVw2EUwm4Xwupg3yuOHCAEDZfAZd81jW8uNMr81VWS9A0M0Ns3fP49y1K7bW9kZFmB4ls8eJCQ8DEwr1iJ2N7FZ1TZcJR_QG_b7Bh063_my9X-WXUy4jzfD4f_94Qtpbyh6dboLRKWlAekaOdqYNtsgQHRqVy7csT4r3D4rZKi15lrlc0mrtTs3JpDKNaVKsaE2hwvc7de42eR0OZv2RVa9RsBIMS4UFgfA0j6ViTJn0SjHFMU8A6XjSXnAVS-kHNnhmrA-XvgbEMIFhB3jox2PHYeekmWYpXBCqpR-6DnBXaQ8jPxNaCB6IBQCiotj1O6RlNBJ9VpMyoloZHXL_o9IIrdeUJGQK2XoVOX6IKRFHFHX599E7cjCavYyj8dPk-YocVh1gpsPrmjSLfA03ZF9_Fckqvy2N4Rt-U7BG
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%3Abook&rft.genre=proceeding&rft.title=ECC+%3A+2001+European+Control+Conference+%3A+4-7+September+2001&rft.atitle=New+algorithm+for+spectral+factorization+and+its+practical+application&rft.au=Jezek%2C+J.&rft.au=Hromcik%2C+M.&rft.au=Sebek%2C+M.&rft.date=2001-09-01&rft.pub=IEEE&rft.isbn=9783952417362&rft.spage=3104&rft.epage=3109&rft_id=info:doi/10.23919%2FECC.2001.7076408&rft.externalDocID=7076408
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9783952417362/lc.gif&client=summon&freeimage=true
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9783952417362/mc.gif&client=summon&freeimage=true
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9783952417362/sc.gif&client=summon&freeimage=true