Multiwavelet systems with disjoint multiscaling functions

This paper describes the first steps toward a multiwavelet system that may retain the advantages of a traditional multiwavelet system while alleviating some of its disadvantages. We attempt to achieve this through the introduction of a novel property-the disjoint support of the multiscaling functions. We derive the conditions on the matrix filter coefficients that guarantee the disjoint support of multiscaling functions. The preliminary results demonstrate that multiwavelet systems with this property may be arbitrarily complex. We then establish the existence of multiwavelet systems with two scaling functions and approximation order=2