Multiwavelet prefilters. 1. Orthogonal prefilters preserving approximation order p≤2
Douglas P. Hardin, Dylan Roach · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 1998
In applications using multiwavelets, there is a necessary step of associating a given discrete signal with a function in the scaling function space V/sub 0/. This association is equivalent to including a prefilter and a post-filter for the filter bank determined by the underlying multiwavelets. We give a construction for orthogonal (paraunitary) finite-impulse response (FIR) prefilters that preserve the approximation order of a given arbitrary scaling vector /spl Psi/ with approximation order p/spl les/2. We give several such prefilters for the DGHM multiwavelet.