Ideal Choice of an Orthogonal Basis from a Library of Bases for Denoising

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F03%3A00007828" target="_blank" >RIV/61989100:27230/03:00007828 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Ideal Choice of an Orthogonal Basis from a Library of Bases for Denoising
Original language description
This contribution describes a method for ideal denoising. This method is based on a choice of an optimal basis from a library of wavelet orthogonal bases. This is the process of minimizing of the cost function of entropy in contribution with shrinkage method. In particular, the chosen shrinkage methods are the estimation of standard deviation ? and of Donoho-Johnstone sure threshold ? for the wavelet coefficients. The entropy is defined by the discrete distribution of squared wavelet coefficients. The Donoho threshold belongs to the simplest non-linear wavelet shrinkage, concretely to the soft thresholding. The results of this ideal denoising are presented on several examples. The algorithm selecting an optimal basis from a library of wavelet bases forideal denoising was created with using MATLAB and The Wavelet Toolbox.
Czech name
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Czech description
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Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of XXVIII Seminary ASR 2003 "Instruments and Control"
ISBN
80-248-0326-7
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
181-188
Publisher name
VŠB - Technická univerzita Ostrava
Place of publication
Ostrava
Event location
Ostrava
Event date
May 6, 2003
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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