  In this paper we propose a procedure which allows the construction of a large
family of FIR d x d matrix wavelet filters by exploiting the one-to-one
correspondence between QMF systems and orthogonal operators which commute with
the shifts by two. A characterization of the class of filters of full rank type
that can be obtained with such procedure is given. In particular, we restrict
our attention to a special construction based on the representation of SO(2d)
in terms of the elements of its Lie algebra. Explicit expressions for the
filters in the case d = 2 are given, as a result of a local analysis of the
parameterization obtained from perturbing the Haar system.
