Construction of shift invariant m-band tight framelet packets

Abstract

Framelets and their promising features in applications have attracted a great deal of interest and effort in recent years. In this paper, we outline a method for constructing shift invariant M-band tight framelet packets by recursively decomposing the multiresolution space VJ for a fixed scale J to level 0 with any combined mask m = [m0, m1, . . . , mL] satisfying some mild conditions.