Orthogonal vector-valued wavelet packets associated with dilation matrix

In this paper, the notion of orthogonal vector-valued wavelet packets of space L²(Rⁿ,C^s) is introduced. A procedure for constructing orthogonal vector-valued wavelet packets associated with dilation matrix 2I is presented. The properties of vector-valued wavelet packets in higher dimensions have been investigated. Finally, a new orthogonal basis of L²(Rⁿ,C^s) is obtained from the orthogonal vector-valued wavelet packets in higher dimensions.