l∞-Stability for linear multiresolution algorithms: A new explicit approach. Part II: The cases of Symlets, Coiflets, biorthogonal wavelets and supercompact multiwavelets

摘要

In Amat and Moncayo [S. Amat, M. Moncayo, l∞-Stability for linear multiresolution algorithms: a new explicit approach. Part I: the basic rules and the Daubechies case, Appl. Math. Comput. 206 (1) (2008) 74–91.] was introduced a direct procedure to obtain an explicit computation of the error bounds for the Mallat’s multiresolution transform associated to orthogonal wavelet filters. The general stability framework was applied to the specific case of Daubechies’ filters. In this paper, we extend our approach giving the bounds related to others well-known and used wavelet families as Symlets, Coiflets, biorthogonal wavelets and supercompact multiwavelets.