The Description for Properties of Biorthogonal Vector-Valued Wavelet Packets with Six-Scale Factor
Meijuan Zhai, Hong-E Wu · 2010
In this work, we introduce a class of vector-valued wavelet packets with six-scale dilation factor for vector-valued higher dimensional function space. The definition of biorthogonal vector-valued mul dimensional wavelet packets is proposed and their biorthogonality properties are investigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Moreover, it is shown how to gain new Riesz bases of space L2(Ru, Cv) from these wavelet packets.