Time-Frequency Localization for D_4 Type Wavelets
Youming Liu · Chinese Annals of Mathematics · 2008
Although many achievements have been made in the area of wavelet analysis, most of them focus on functional spaces.In addition,uncertainty principles always rise in those spaces.However,it is more nature and even more important to study wavelets in discrete spaces for some applications ranging from image compression to numerical analy- sis.This paper discusses uncertainty principles in discrete space l~2(Z_N)and study time- frequency localization for D_4 type wavelets and some others in the same space.