The Orthogonality Characters of Vector Binary Function Packets with an Integer Dilation Factor
Delin Hua · Physics Procedia · 2012
Wavelet analysis is nowadays a widely used tool in applied mathematics. In this work the concept of orthogonal vector trivariate wavelet packets, which is a generalization of uni-wavelet packets, is introduced. A new method for constructing them is developed, and their characteristics is investigated by using time-frequency analysis method, matrix theory and iteration method. Orthogonality formulas are established. The sufficient condition for the existence of is investigated. Moreover, it is shown how to gain new orthonormal bases of space L2(R2)r from these wavelet packets.