Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution

Abstract

In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (cid:1838)(cid:2870)(\u211d)\tby constructing a series of subspaces of these nonuniform wavelet packets.