Characteristics of Vector-Valued Three-Dimensional Wavelet Packets with Arbitrary Integer-Valued Matrix Dilation
Tongqi Zhang, Longfei Liu · 2009
In this work the notion of orthogonal vector-valued trivariate wavelet packets, which is a generalization of uni-wavelet packets, is introduced. A new method for constructing them is developed, and their characteristics is discussed by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.