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The Equivalency of Minimum Error Entropy Criterion and Minimum Dispersion Criterion for Symmetric Stable Signal Processing.

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Title: The Equivalency of Minimum Error Entropy Criterion and Minimum Dispersion Criterion for Symmetric Stable Signal Processing.
Authors: Aimin Song1 songaimin@djtu.edu.cn, Tianshuang Qiu1 qiutsh@dlut.edu.cn
Source: IEEE Signal Processing Letters. Jan2010, Vol. 17 Issue 1, p32-35. 4p.
Subjects: Entropy, Error analysis in mathematics, Signal processing, Algorithms, Estimation theory
Abstract: The minimum error entropy (MEE) criterion in information theoretic learning is an efficient way to deal with non-Gaussian signal processing. And the minimum dispersion (MD) criterion has been widely applied in stable signal processing. In this letter, we show that there exists an equivalence between the MD criterion and the MEE criterion where symmetric α-stable (SαS) random variables are considered as the errors of the adaptive signal processing. As an application, we propose an algorithm with the MEE criterion for the time delay estimation (TDE) problem which was solved by the MD criterion. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Signal Processing Letters is the property of IEEE 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
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DbLabel: Engineering Source
An: 52447628
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  Data: The Equivalency of Minimum Error Entropy Criterion and Minimum Dispersion Criterion for Symmetric Stable Signal Processing.
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  Data: <searchLink fieldCode="AR" term="%22Aimin+Song%22">Aimin Song</searchLink><relatesTo>1</relatesTo><i> songaimin@djtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Tianshuang+Qiu%22">Tianshuang Qiu</searchLink><relatesTo>1</relatesTo><i> qiutsh@dlut.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22IEEE+Signal+Processing+Letters%22">IEEE Signal Processing Letters</searchLink>. Jan2010, Vol. 17 Issue 1, p32-35. 4p.
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  Data: <searchLink fieldCode="DE" term="%22Entropy%22">Entropy</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Estimation+theory%22">Estimation theory</searchLink>
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  Label: Abstract
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  Data: The minimum error entropy (MEE) criterion in information theoretic learning is an efficient way to deal with non-Gaussian signal processing. And the minimum dispersion (MD) criterion has been widely applied in stable signal processing. In this letter, we show that there exists an equivalence between the MD criterion and the MEE criterion where symmetric α-stable (SαS) random variables are considered as the errors of the adaptive signal processing. As an application, we propose an algorithm with the MEE criterion for the time delay estimation (TDE) problem which was solved by the MD criterion. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of IEEE Signal Processing Letters is the property of IEEE 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.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1109/LSP.2009.2031716
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      – Code: eng
        Text: English
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        PageCount: 4
        StartPage: 32
    Subjects:
      – SubjectFull: Entropy
        Type: general
      – SubjectFull: Error analysis in mathematics
        Type: general
      – SubjectFull: Signal processing
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Estimation theory
        Type: general
    Titles:
      – TitleFull: The Equivalency of Minimum Error Entropy Criterion and Minimum Dispersion Criterion for Symmetric Stable Signal Processing.
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            NameFull: Aimin Song
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            NameFull: Tianshuang Qiu
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            – D: 01
              M: 01
              Text: Jan2010
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              Y: 2010
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            – TitleFull: IEEE Signal Processing Letters
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