On noise robustness of the Mexican-hat and hyperbolic wavelets with an experiment on chaos detection

Khoa N. Le

doi:10.1016/j.jsv.2008.01.058

On noise robustness of the Mexican-hat and hyperbolic wavelets with an experiment on chaos detection

Khoa N. Le

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper studies the noise robustness of Laplace of hyperbolic (LoH) and Laplace of Gaussian (LoG) wavelets. A typical example of using the LoH and LoG to study Duffing oscillation under normal and noisy conditions is given. Relative merits of each method are discussed.

Original language	English
Pages (from-to)	343-364
Number of pages	22
Journal	Journal of Sound and Vibration
Volume	315
Issue number	45323
DOIs	https://doi.org/10.1016/j.jsv.2008.01.058
Publication status	Published - 2008

Keywords

Duffing oscillation
gaussian wavelets
hyperbolic wavelets
noise robustness
signal processing
wavelets (mathematics)

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10.1016/j.jsv.2008.01.058

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title = "On noise robustness of the Mexican-hat and hyperbolic wavelets with an experiment on chaos detection",

abstract = "This paper studies the noise robustness of Laplace of hyperbolic (LoH) and Laplace of Gaussian (LoG) wavelets. A typical example of using the LoH and LoG to study Duffing oscillation under normal and noisy conditions is given. Relative merits of each method are discussed.",

keywords = "Duffing oscillation, gaussian wavelets, hyperbolic wavelets, noise robustness, signal processing, wavelets (mathematics)",

author = "Le, {Khoa N.}",

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T1 - On noise robustness of the Mexican-hat and hyperbolic wavelets with an experiment on chaos detection

AU - Le, Khoa N.

PY - 2008

Y1 - 2008

N2 - This paper studies the noise robustness of Laplace of hyperbolic (LoH) and Laplace of Gaussian (LoG) wavelets. A typical example of using the LoH and LoG to study Duffing oscillation under normal and noisy conditions is given. Relative merits of each method are discussed.

AB - This paper studies the noise robustness of Laplace of hyperbolic (LoH) and Laplace of Gaussian (LoG) wavelets. A typical example of using the LoH and LoG to study Duffing oscillation under normal and noisy conditions is given. Relative merits of each method are discussed.

KW - Duffing oscillation

KW - gaussian wavelets

KW - hyperbolic wavelets

KW - noise robustness

KW - signal processing

KW - wavelets (mathematics)

UR - http://handle.uws.edu.au:8081/1959.7/551215

UR - http://www.sciencedirect.com/science/article/pii/S0022460X08001089

U2 - 10.1016/j.jsv.2008.01.058

DO - 10.1016/j.jsv.2008.01.058

M3 - Article

SN - 0022-460X

VL - 315

SP - 343

EP - 364

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 45323

ER -

On noise robustness of the Mexican-hat and hyperbolic wavelets with an experiment on chaos detection

Abstract

Keywords

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