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NONSEPARABLE ORTHOGONAL MULTIVARIATE VECTOR-VALUED WAVELET PACKETS
Preview AbstractIn this paper, the notion for orthogonal vector-valued multivariate wavelet packets of space L2(Rn,Cs) 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,Cs) is derived from the orthogonal multivariate vector-valued wavelet packets.
Orthogonal vector-valued wavelet packets associated with dilation matrix
Preview AbstractIn this paper, the notion of orthogonal vector-valued wavelet packets of space L2(Rn,Cs) 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,Cs) is obtained from the orthogonal vector-valued wavelet packets in higher dimensions.