Numerical method for constructing orthogonal complex filter banks and wavelets
Hou Yu · 2008
The numerical methods for constructing the parameterized orthogonal complex filter banks and wavelets were investigated in this paper.Based on the Ref[1],a so-called papilionaceous algorithm for constructing the orthogonal complex filter banks is presented,which was used to easily design orthogonal complex filter banks and wavelets on arbitrary length compactly supported sets by the optimizations of the parameters.The relationships between the properties of complex filter banks and the parameters were discussed and the theorems about them were proved.The complex filter banks,scale functions and wavelets with various parameters are calculated in the example.The orthogonal complex wavelets with the symmetric property and approximately linear phase are obtained by the parameter optimizations.