The nice characters of a sort of two-directional multiscale bivariate wavelet packs with finite support

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.