On the Orthogonal Multivariate Vector-Valued Wavelet Packets
Zhang Xincheng · Journal of Nanjing Normal University · 2006
In this paper the vector-valued multiresolution analysis and the orthogonal vector-valued wavelet are introduced.The definition of the multivariate vector-valued wavelet packets is given and a procedure for constructing them is presented.The properties for the vector-valued wavelet packets has been investigated by using algebra theory,operator theory and integral transformation.Furthermore,new orthonormal basis of space L~2(R~d,C~r) is obtained by using the orthogonal vector-valued wavelet packets.