Balanced Orthogonal Multiwavelets with Symmetric/Antisymmetric Filter Banks

Abstract

A class of the balanced orthogonal multiwavelets was constructed by defining a specific matrix filter structure, in which the multifilter banks of multiwavelets have had the desired symmetry. The multifilter banks have possessed symmetric/antisymmetric, which resembled the filters of scalar wavelet and have in favor of application, notwithstanding the multiwavelets constructed in this paper lose the linear phase, they have formed a new type of multiwavelets undoubtedly.