Symmetry feature and construction for the 3-band tight framelets with prescribed properties
Summary: A construction approach for the 3-band tight wavelet frames by the factorization of the paraunitary matrix is developed. Several necessary constraints on the filter lengths and symmetric features of the wavelet frames are investigated starting at the constructed paraunitary matrix. The matrix is a symmetric extension of the polyphase matrix corresponding to 3-band tight wavelet frames. Further, the parameterizations of 3-band tight wavelet frames with filter lengths are established. Examples of framelets with symmetry/antisymmetry and Sobolev exponent are computed by appropriately choosing the parameters in the scheme.
scientific article; zbMATH DE number 6106341