Title :
The isometric identity formulas in the modified Morlet wavelet transform
Author :
Han, Hong ; Deng, Cai-xia
Author_Institution :
Jiamusi Univ., Jiamusi
Abstract :
In this paper, for the modified Morlet wavelet which is a familiar complex-valued wavelet, the expression of the reproducing kernel function of its images space is shown. Meanwhile the isometric identity formulas in the modified Morlet wavelet transform are given by the particular technique of reproducing kernel theory. It provides theoretic basis for further understanding the image space of wavelet transform.
Keywords :
wavelet transforms; Morlet wavelet transform; complex-valued wavelet; isometric identity formulas; Notice of Violation; Pattern analysis; Pattern recognition; Wavelet analysis; Wavelet transforms; Wavelet transform; reproducing kernel; reproducing kernel Hilbert space;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-1065-1
Electronic_ISBN :
978-1-4244-1066-8
DOI :
10.1109/ICWAPR.2007.4421701
