A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function
Joint Authors
Yang, Qiliang
Li, Juelong
Xing, Jianchun
He, Can
Wang, Ronghao
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Thresholding function is an important part of the wavelet threshold denoising method, which can influence the signal denoising effect significantly.
However, some defects are present in the existing methods, such as function discontinuity, fixed bias, and parameters determined by trial and error.
In order to solve these problems, a new wavelet thresholding function based on hyperbolic tangent function is proposed in this paper.
Firstly, the basic properties of hyperbolic tangent function are analyzed.
Then, a new thresholding function with a shape parameter is presented based on hyperbolic tangent function.
The continuity, monotonicity, and high-order differentiability of the new function are theoretically proven.
Finally, in order to determine the final form of the new function, a shape parameter optimization strategy based on artificial fish swarm algorithm is given in this paper.
Mean square error is adopted to construct the objective function, and the optimal shape parameter is achieved by iterative search.
At the end of the paper, a simulation experiment is provided to verify the effectiveness of the new function.
In the experiment, two benchmark signals are used as test signals.
Simulation results show that the proposed function can achieve better denoising effect than the classical hard and soft thresholding functions under different signal types and noise intensities.
American Psychological Association (APA)
He, Can& Xing, Jianchun& Li, Juelong& Yang, Qiliang& Wang, Ronghao. 2015. A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074057
Modern Language Association (MLA)
He, Can…[et al.]. A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1074057
American Medical Association (AMA)
He, Can& Xing, Jianchun& Li, Juelong& Yang, Qiliang& Wang, Ronghao. A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074057
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074057