NONSEPARABLE ORTHOGONAL MULTIVARIATE VECTOR-VALUED WAVELET PACKETS

In this paper, the notion for orthogonal vector-valued multivariate wavelet packets of space L²(Rⁿ,C^s) is introduced. A method of the construction of orthogonal vector-valued wavelet packets associated with quantity dilation matrix aI (2 ≤ a ∈ Z) is presented. The properties for vector-valued multivariate wavelet packets have been investigated. Finally, a new orthogonal basis of L²(Rⁿ,C^s) is derived from the orthogonal multivariate vector-valued wavelet packets.