Tight Frame Various Lengths Filters

摘要

Dyadic tight frame wavelets have been considered as an alternative to orthogonal wavelets. They allow symmetry, smooth scaling - wavelet functions, and closely approximate shift invariance. In this paper, we consider tight frame symmetric filterbanks with filters of various lengths. The filterbanks are designed using Grobner basis methods. An applications example is considered for the case of image de-noising.