The nice characters of a sort of two-directional multiscale bivariate wavelet packs with finite support
Fengling Zhang, Junping Zhao · 2010
Wavelet analysis is a popular subject in science research. In this work, the concept of biorthogonal two- direct- -ion finitely supported wavelet packs with four-scale is introduced. A new method for designing two-directional biorthogonal wavelet packs is developed and their properties is investi- -gated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Finally, two Riesz bases of space L2(R2) are drawn from these wavelet packs. The biorthogonal finitely supported uni-wavelet packs was generalized to two-directional biorthogonal wavelet packs.