Abstract:

Multiwavelet can simultaneously posses many desired properties such as short support, orthogonality, symmetry and high vanishing moments, which a single wavelet cannot posses. Multiwavelet has increasingly attracted attention in the research community. The goal of this paper is to generalize the notions and properties of wavelet packet to produce biorthogonal multiwavelet packet, and to develop the theoretical framework of biorthogonal multiwavelet packet, which makes more kinds of signals for analysis with multiwavelet. A proof is given.

Key words: biorthogonal multiwavelet packet, multiwavelet, single wavelet