Construction and properties of vector bivariate wavelet packets with respect to a quantity dilation matrix
Huailing Wang, Ge Ma · 2010
In this work, the notion of vector-valued multiresolution analysis of space L2(R2, C') is introduced. An approach for constructing biorthogonal vector-valued bivariate wavelet packets is presented and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas regarding the wavelet packets are obtained. Finally, new Riesz bases of space L2(R2, C') are constructed by designing a series of subspaces composed of these wavelet packets.