A Stable Hankel Transforms Algorithm Based on Haar Wavelet Decomposition for Noisy Data
Joint Authors
Nie, Xin
Zhu, Chuanbao
Su, Xiangfeng
Zhang, Huaiqing
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We proposed the combination of signal denoising technology and Hankel transforms algorithm which were both based on Haar wavelet decomposition.
Therefore, one can achieve above two purposes simultaneously while the wavelet decomposition is carried out just for once.
The principle and its derivation of the Haar wavelet method for Hankel transforms were put forward.
Numerical examples and engineering application showed that the precision of Haar wavelet method is about magnitude of 1.0E-4 and 1.0E-5; it can maintain good accuracy when using fewer wavelet coefficients.
Moreover, it has better anti-noise performance and better computational stability than the filter method, so it can be applied to the Hankel transforms with noisy data.
American Psychological Association (APA)
Zhang, Huaiqing& Zhu, Chuanbao& Su, Xiangfeng& Nie, Xin. 2015. A Stable Hankel Transforms Algorithm Based on Haar Wavelet Decomposition for Noisy Data. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073174
Modern Language Association (MLA)
Zhang, Huaiqing…[et al.]. A Stable Hankel Transforms Algorithm Based on Haar Wavelet Decomposition for Noisy Data. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1073174
American Medical Association (AMA)
Zhang, Huaiqing& Zhu, Chuanbao& Su, Xiangfeng& Nie, Xin. A Stable Hankel Transforms Algorithm Based on Haar Wavelet Decomposition for Noisy Data. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073174
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073174