Title :
Minimum-energy wavelet frames on the interval with arbitrary integer dilation factor
Author :
Zhu, Feng-Juan ; Huang, Yong-Dong
Author_Institution :
Dept. of Found., Beifang Univ. of Nat., Yinchuan, China
Abstract :
In this paper, minimum-energy wavelet frames on the interval with arbitrary integer dilation factor a are studied Firstly, the concept of minimum-energy wavelet frames on the interval is generalized to the arbitrary integer dilation factor a, a ≥ 2, a ϵ Z, the necessary and sufficient conditions for minimum-energy wavelet frames on the interval are given. Secondly, an algorithm for constructing minimum-energy wavelet frames on the interval with any support γ is also given.
Keywords :
wavelet transforms; arbitrary integer dilation factor; minimum-energy wavelet frames; Bismuth; Scaling functions; dilation factor; minimum-energy frame; wavelet on the interval;
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2011 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4577-0283-9
DOI :
10.1109/ICWAPR.2011.6014471
