Title :
The characterization of compact support of fourier transform for scaling function of L2(Rs)
Author :
Han, Jin-cang ; Cheng, Zheng-Xing
Author_Institution :
Xi´´an Jiaotong Univ., Xian
Abstract :
In this paper, under weaker condition, we give the sufficient and necessary condition that phi(x) is a scaling function of L2(RS), we give results of the whole support of wavelets, these results are characterized by some equalities and inequalities. We have improved completely Long´s results.
Keywords :
Fourier transforms; functions; wavelet transforms; Fourier transform; compact support; scaling function; wavelet transform; Educational institutions; Equations; Fourier transforms; Information analysis; Lattices; Multiresolution analysis; Notice of Violation; Pattern analysis; Pattern recognition; Wavelet analysis; Compact support; Fourier transform; Multiresolution analysis; Orthonormal wavelets; Scaling function;
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.2007.4421717
