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

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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:10709908
DOI:10.1109/LSP.2009.2031716