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

Civil Engineering

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