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 int erpolating filters for lifting Donoho wavelets. Based on the measure and th e parameter representations. a novel method is proposed to optimize co-redu ndancy degree which is then used to construct a family of nearly semi-ortho gonal interpolating wavelets. Furthermore, by performing the local orthogon alization on the obtained wavelet functions we design a family of nearly or thogonal interpolating wavelets. Finally, some examples are given which sho w that our scheme is efficient in designing practical wavelet systems with good performance indexes. (C) 1999 Elsevier Science B.V. All rights reserve d.