Multiparametric Wavelet Transforms.
Valeri G. Labunets, Д. В. Комаров, Ekaterina Ostheimer · Electronic Archive of Ural Federal University (ELAR UrFU) · 2016
The main goal of the paper is to show that wavelet transforms and packets have the multiparametric representation in the form of a product of the rotation Jacobi matrices. These representations we call the third and the fourth canonical multiparametric form. Each multiparametric wavelet transform (MPWT) depends on several free Jacobi parameters. When parameters are changed multiparametric transform is changed too taking form of all known and unknown orthogonal wavelet transforms. It gives unified approach to describing a wide set of cyclic orthogonal wavelet transforms and endows with adaptive properties of those transforms.