The characteristics of orthogonal vector-valued multivariate wavelet packets with three-scale factor
Qingjiang Chen, Liping Ding · 2008
Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, the notion of orthogonal vector-valued wavelet packets with 3-scale in higher dimensions is introduced. A procedure for constructing them is presented. Their orthogonality property is characterized by virtue of finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are obtained.