Characterizations of a Class of Orthogonal Multiple Vector-Valued Wavelet Packets with Five-Scale

Since 1986, wavelet analysis has become a popular subject in scientific research. In this paper, the multiple vector-valued wavelet packets are defined and investigated. A procedure for constructing the multiple vector-valued wavelet packets is presented. The properties of multiple vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L²(R,C^stimess) is constructed from the orthogonal multiple vector-valued wavelet packets.