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Fast Jacket-Haar Transform with Any Size
Joint Authors
Liu, Guibo
Huang, Dazu
Luo, Dayong
Lei, Wang
Guo, Ying
Lee, Moon Ho
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Jacket-Haar transform has been recently generalized from Haar transform and Jacket transform, but, unfortunately, it is not available in a case where the length N is not a power of 2.
In this paper, we have proposed an arbitrary-length Jacket-Haar transform which can be conveniently constructed from the 2-point generalized Haar transforms with the fast algorithm, and thus it can be constructed with any sizes.
Moreover, it can be further extended with elegant structures, which result in the fast algorithms for decomposing.
We show that this approach can be practically applied for the electrocardiogram (ECG) signal processing.
Simulation results show that it is more efficient than the conventional fast Fourier transform (FFT) in signal processing.
American Psychological Association (APA)
Liu, Guibo& Huang, Dazu& Luo, Dayong& Lei, Wang& Guo, Ying& Lee, Moon Ho. 2015. Fast Jacket-Haar Transform with Any Size. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074330
Modern Language Association (MLA)
Liu, Guibo…[et al.]. Fast Jacket-Haar Transform with Any Size. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074330
American Medical Association (AMA)
Liu, Guibo& Huang, Dazu& Luo, Dayong& Lei, Wang& Guo, Ying& Lee, Moon Ho. Fast Jacket-Haar Transform with Any Size. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074330