Families of biorthogonal wavelets

Abstract

AbstractSeveral families of biorthogonal wavelet bases are constructed with various properties. In particular, for a given filter, Fn(ξ), of finite length 2n + 1, a parametric family of dual filters, FvN(ξ), of length 2N + 1 is constructed. The parametric nature of the dual filters makes it possible to design the optimum dual filter Fv0N(ξ), corresponding to a fixed filter Fn(ξ)