Wavelet De-Noising Method Based on a New Kind of Threshold Function

Based on wavelet threshold de-noising method which put forward by Donoho, we analyze and compare the advantages and disadvantages of hard threshold, soft threshold and some improved threshold methods. Based on polynomial interpolation method, a new threshold function is proposed, which is continuous...

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Published inApplied Mechanics and Materials Vol. 519-520; no. Computer and Information Technology; pp. 1057 - 1060
Main Authors Xie, Qi, Liang, Wei Ge, Liu, Fang, Chen, Wei Yi
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.02.2014
Subjects
Constants
Derivatives
Functions (mathematics)
Interpolation
Mathematical analysis
Polynomials
Thresholds
Wavelet
De-Noise
Threshold Function
Wavelet Transform (WT)
SNR
MSE
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Abstract Based on wavelet threshold de-noising method which put forward by Donoho, we analyze and compare the advantages and disadvantages of hard threshold, soft threshold and some improved threshold methods. Based on polynomial interpolation method, a new threshold function is proposed, which is continuous in the whole threshold area, with little constant deviation between the estimated wavelet coefficients and original signal wavelet coefficient, and high-order derivative and easy processing. The simulation results show that this method can give better optical effect, SNR gains and MSE performance.
AbstractList Based on wavelet threshold de-noising method which put forward by Donoho, we analyze and compare the advantages and disadvantages of hard threshold, soft threshold and some improved threshold methods. Based on polynomial interpolation method, a new threshold function is proposed, which is continuous in the whole threshold area, with little constant deviation between the estimated wavelet coefficients and original signal wavelet coefficient, and high-order derivative and easy processing. The simulation results show that this method can give better optical effect, SNR gains and MSE performance.
Author Xie, Qi
Liang, Wei Ge
Liu, Fang
Chen, Wei Yi
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  organization: Naval University of Engineering : Department of Weaponry Engineering
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Cites_doi 10.1093/biomet/83.4.727
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Threshold Function
Wavelet Transform (WT)
SNR
MSE
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Snippet Based on wavelet threshold de-noising method which put forward by Donoho, we analyze and compare the advantages and disadvantages of hard threshold, soft...
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SubjectTerms Constants
Derivatives
Functions (mathematics)
Interpolation
Mathematical analysis
Polynomials
Thresholds
Wavelet
Title Wavelet De-Noising Method Based on a New Kind of Threshold Function
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