%0 Journal Article
%T Construction of Multiwavelets on an Interval
%A Ahmet Alt¨¹rk
%A Fritz Keinert
%J Axioms
%D 2013
%I MDPI AG
%R 10.3390/axioms2020122
%X Boundary functions for wavelets on a finite interval are often constructed as linear combinations of boundary-crossing scaling functions. An alternative approach is based on linear algebra techniques for truncating the infinite matrix of the DiscreteWavelet Transform to a finite one. In this article we show how an algorithm of Madych for scalar wavelets can be generalized to multiwavelets, given an extra assumption. We then develop a new algorithm that does not require this additional condition. Finally, we apply results from a previous paper to resolve the non-uniqueness of the algorithm by imposing regularity conditions (including approximation orders) on the boundary functions.
%K wavelets on an interval
%K multiwavelets
%K discrete wavelet transform
%K boundary handling
%U http://www.mdpi.com/2075-1680/2/2/122