Multiwavelet prefilters. 1. Orthogonal prefilters preservingapproximation order p⩽2

摘要

In applications using multiwavelets, there is a necessary step ofnassociating a given discrete signal with a function in the scalingnfunction space V0. This association is equivalent tonincluding a prefilter and a post-filter for the filter bank determinednby the underlying multiwavelets. We give a construction for orthogonaln(paraunitary) finite-impulse response (FIR) prefilters that preserve thenapproximation order of a given arbitrary scaling vector Ψ withnapproximation order p⩽2. We give several such prefilters for thenDGHM multiwavelet