View in EDS

An algebraic approach to on-line signal denoising and derivatives estimation.

Saved in:
Bibliographic Details
Title: An algebraic approach to on-line signal denoising and derivatives estimation.
Authors: Kasac, Josip1, Majetic, Dubravko1, Brezak, Danko1
Source: Journal of the Franklin Institute. Oct2018, Vol. 355 Issue 15, p7799-7825. 27p.
Subjects: Signal denoising, Derivatives (Mathematics), Electric currents, Engineering, Signal processing
Abstract: Abstract In this paper, a new algebraic approach to the on-line signal derivatives estimation is proposed. The proposed approach is based on the conversion of the truncated Taylor series expansion to the set of linearly independent equations regarding the signal derivatives. The nonhomogeneous parts of the obtained set of equations are convolution integrals, which can be transformed to the stable linear state-space filter realization. The proposed algebraic estimator provides stable convergence without the need for periodic re-initialization, as in the case of the conventional algebraic estimators. In contrast to the Taylor series-based tracking differentiators, the proposed estimator also provides an estimation of the arbitrary number of the higher-order signal derivatives. In addition, the tuning of the estimator parameters does not depends on the filter dimension. The efficiency of the proposed estimator is illustrated by the simulation examples and experimental results related to the monitoring of the surgical drilling process. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Franklin Institute is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 131902744
AccessLevel: 6
PubType: Periodical
PubTypeId: serialPeriodical
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: An algebraic approach to on-line signal denoising and derivatives estimation.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Kasac%2C+Josip%22">Kasac, Josip</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Majetic%2C+Dubravko%22">Majetic, Dubravko</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Brezak%2C+Danko%22">Brezak, Danko</searchLink><relatesTo>1</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Franklin+Institute%22">Journal of the Franklin Institute</searchLink>. Oct2018, Vol. 355 Issue 15, p7799-7825. 27p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Signal+denoising%22">Signal denoising</searchLink><br /><searchLink fieldCode="DE" term="%22Derivatives+%28Mathematics%29%22">Derivatives (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+currents%22">Electric currents</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering%22">Engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstract In this paper, a new algebraic approach to the on-line signal derivatives estimation is proposed. The proposed approach is based on the conversion of the truncated Taylor series expansion to the set of linearly independent equations regarding the signal derivatives. The nonhomogeneous parts of the obtained set of equations are convolution integrals, which can be transformed to the stable linear state-space filter realization. The proposed algebraic estimator provides stable convergence without the need for periodic re-initialization, as in the case of the conventional algebraic estimators. In contrast to the Taylor series-based tracking differentiators, the proposed estimator also provides an estimation of the arbitrary number of the higher-order signal derivatives. In addition, the tuning of the estimator parameters does not depends on the filter dimension. The efficiency of the proposed estimator is illustrated by the simulation examples and experimental results related to the monitoring of the surgical drilling process. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of the Franklin Institute is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=131902744
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jfranklin.2018.08.016
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 27
        StartPage: 7799
    Subjects:
      – SubjectFull: Signal denoising
        Type: general
      – SubjectFull: Derivatives (Mathematics)
        Type: general
      – SubjectFull: Electric currents
        Type: general
      – SubjectFull: Engineering
        Type: general
      – SubjectFull: Signal processing
        Type: general
    Titles:
      – TitleFull: An algebraic approach to on-line signal denoising and derivatives estimation.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Kasac, Josip
      – PersonEntity:
          Name:
            NameFull: Majetic, Dubravko
      – PersonEntity:
          Name:
            NameFull: Brezak, Danko
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 10
              Text: Oct2018
              Type: published
              Y: 2018
          Identifiers:
            – Type: issn-print
              Value: 00160032
          Numbering:
            – Type: volume
              Value: 355
            – Type: issue
              Value: 15
          Titles:
            – TitleFull: Journal of the Franklin Institute
              Type: main
ResultId 1