The Nice Characteristics of a class of Two-directional Poly-scale Binary Wavelet Wraps with Finite Support
Zhang Hai-mo · Physics Procedia · 2012
The advantages of wavelet packets and their promising features in various application have attracted a lot of interest and effort in recent years. In this paper, the concept of biorthogonal two-directional finitely supported wavelet wraps with four-scale is introduced. A new method for designing two-directional biorthogonal wavelet wraps is developed and their properties is investigated 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 constructed from these wavelet wraps. The biorthogonal finitely supported bonary wavelet wraps was generalized to two-directional biorthogonal wavelet wraps.