Construction of nearly orthogonal interpolating wavelets

This paper first studies the measure of redundancy in biorthogonal wavelet systems and gives the explicit parameter representations of the general interpolating filters for lifting Donoho wavelets. Based on the measure and the parameter representations. a novel method is proposed to optimize co-redundancy degree which is then used to construct a family of nearly semi-orthogonal interpolating wavelets. Furthermore, by performing the local orthogonalization on the obtained wavelet functions we design a family of nearly orthogonal interpolating wavelets. Finally, some examples are given which show that our scheme is efficient in designing practical wavelet systems with good performance indexes. (C) 1999 Elsevier Science B.V. All rights reserved.