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Proceedings Paper

Hyperbolic wavelet function
Author(s): Khoa Nguyen Le; Kishor P. Dabke; G. K. Egan
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Paper Abstract

A survey of known wavelet groups is listed and properties of the symmetrical first-order hyperbolic wavelet function are studied. This new wavelet is the negative second derivative function of the hyperbolic kernel function, [sech((beta) (theta) )]n where n equals 1, 3, 5,... and n equals 1 corresponds to the first-order hyperbolic kernel, which was recently proposed by the authors as a useful kernel for studying time-frequency power spectrum. Members of the 'crude' wavelet group, which includes the hyperbolic, Mexican hat (Choi-Williams) and Morlet wavelets, are compared in terms of band-peak frequency, aliasing effects, scale limit, scale resolution and the total number of computed scales. The hyperbolic wavelet appears to have the finest scale resolution for well-chosen values of (beta)

Paper Details

Date Published: 26 March 2001
PDF: 12 pages
Proc. SPIE 4391, Wavelet Applications VIII, (26 March 2001); doi: 10.1117/12.421221
Show Author Affiliations
Khoa Nguyen Le, Monash Univ. (Australia)
Kishor P. Dabke, Monash Univ. (Australia)
G. K. Egan, Monash Univ. (Australia)

Published in SPIE Proceedings Vol. 4391:
Wavelet Applications VIII
Harold H. Szu; David L. Donoho; Adolf W. Lohmann; William J. Campbell; James R. Buss, Editor(s)

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