High-order symmetrical hyperbolic wavelets

No Thumbnail Available
File version
Author(s)
Le, Khoa
Griffith University Author(s)
Primary Supervisor
Other Supervisors
Editor(s)
Date
2007
Size
File type(s)
Location
License
Abstract

This paper studies high-order wavelets of the first-order hyperbolic, Choi-Williams (CW) and nth-order hyperbolic kernels for analyses of digital time series, by using their second- and higher-order derivatives. For time-domain investigations, normalisation constants of the second-, fourth-, sixth-, eighth- and tenth-order hyperbolic and CW wavelets are numerically given. For frequency-domain investigations, wavelet parameters including band-peak frequencies, minimum numbers of sampling points, scale limits, scale resolutions and total number of scales are explicitly given and numerically estimated for the fourth-order hyperbolic and CW wavelets. Parameter comparisons among the Morlet wavelet, hyperbolic and CW second- and fourth-order wavelets are also given. Detection of periodicity and chaos in the Duffing oscillator is discussed.

Journal Title
Journal of Sound and Vibration
Conference Title
Book Title
Edition
Volume
Issue
Thesis Type
Degree Program
School
Patent number
Funder(s)
Grant identifier(s)
Rights Statement
Rights Statement
Item Access Status
Note
Access the data
Related item(s)
Subject
History and Archaeology
Physical Sciences
Engineering
Persistent link to this record
Citation
Collections