Parametrizations of Symmetric Orthogonal Multifilter Banks with Different Filter Lengths

This paper is devoted to a study of parametrizations of symmetric orthogonal multifilter banks with different filter lengths. To construct symmetric orthogonal multifilter banks  {H,G}  which generate balanced multiwavelets of multiplicity 2, the filter lengths of the rows of  H , regarded as the scalar filters, must be different. In this paper, complete factorizations of symmetric orthogonal multifilter banks with different filter lengths are obtained. Based on these factorizations, construction of balanced multiwavelets with good approximation and smoothness properties are discussed.