Title :
Study of arbitrary real dilation factor of orthonormal wavelet basis
Author :
Toda, Hiroaki ; Zhong Zhang
Author_Institution :
Dept. of Production Syst. Eng., Toyohashi Univ. of Technol., Toyohashi, Japan
Abstract :
In this paper, we propose an orthonormal wavelet basis having a dilation factor (R + 1)/R with an arbitrary real number R > 0. This orthonormal wavelet basis requires an infinite number of wavelet shapes when the dilation factor (R + 1)/R is irrational, and (R + 1)/R can be taken an arbitrary real number greater than 1 with the appropriate real number R > 0.
Keywords :
wavelet transforms; arbitrary real dilation; arbitrary real number; dilation factor; orthonormal wavelet basis; wavelet shapes; Equations; Fourier transforms; Pattern recognition; Production systems; Shape; Wavelet analysis; Wavelet transforms; Orthonormal wavellet basis with arbitrary real dilation factor;
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2014 International Conference on
Conference_Location :
Lanzhou
Print_ISBN :
978-1-4799-4212-1
DOI :
10.1109/ICWAPR.2014.6961305
