Design of Double Density Wavelet Filter Banks

Abstract

We look at the design of oversampled filter banks and the resulting framelets. The framelets we will design, will have improved shift invariant properties over 'decimated wavelet transform'. Shift invariance has applications in many areas particularly denoising and coding and compression. Our contribution here is on filter bank completion. We will develop factorization methods to find wavelet filters from given scaling filters. We look at a special class of framelets from a filter bank perspective, in that we design double density filter banks (DDFB's).