The Presentation of a Class of Orthogonal Vector-Valued Finitely Supported Wavelet Packets with an Integer Dilation Factor
Suluo Song · 2009
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 L2(R, Cutimesu) is constructed from the orthogonal vector-valued wavelet packets.