A New Wavelet Threshold Function and Denoising Application
Joint Authors
Ye, Dong
Jing-yi, Lu
Hong, Lin
Yan-sheng, Zhang
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In order to improve the effects of denoising, this paper introduces the basic principles of wavelet threshold denoising and traditional structures threshold functions.
Meanwhile, it proposes wavelet threshold function and fixed threshold formula which are both improved here.
First, this paper studies the problems existing in the traditional wavelet threshold functions and introduces the adjustment factors to construct the new threshold function basis on soft threshold function.
Then, it studies the fixed threshold and introduces the logarithmic function of layer number of wavelet decomposition to design the new fixed threshold formula.
Finally, this paper uses hard threshold, soft threshold, Garrote threshold, and improved threshold function to denoise different signals.
And the paper also calculates signal-to-noise (SNR) and mean square errors (MSE) of the hard threshold functions, soft thresholding functions, Garrote threshold functions, and the improved threshold function after denoising.
Theoretical analysis and experimental results showed that the proposed approach could improve soft threshold functions with constant deviation and hard threshold with discontinuous function problems.
The proposed approach could improve the different decomposition scales that adopt the same threshold value to deal with the noise problems, also effectively filter the noise in the signals, and improve the SNR and reduce the MSE of output signals.
American Psychological Association (APA)
Jing-yi, Lu& Hong, Lin& Ye, Dong& Yan-sheng, Zhang. 2016. A New Wavelet Threshold Function and Denoising Application. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1111996
Modern Language Association (MLA)
Jing-yi, Lu…[et al.]. A New Wavelet Threshold Function and Denoising Application. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1111996
American Medical Association (AMA)
Jing-yi, Lu& Hong, Lin& Ye, Dong& Yan-sheng, Zhang. A New Wavelet Threshold Function and Denoising Application. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1111996
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111996