Abstract

Since 1986, Wavelet analysis has become a popular subject in scientific research. It has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this article, the vector-valued wavelet packets are defined and investigated. A procedure for constructing the vector-valued wavelet packets is presented. The properties of vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L^2(R,C^{u\times u}) is constructed from the orthogonal vector-valued wavelet packets.

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