  In this paper, we describe some recent results obtained in the context of
vector subdivision schemes which possess the so-called full rank property. Such
kind of schemes, in particular those which have an interpolatory nature, are
connected to matrix refinable functions generating orthogonal multiresolution
analyses for the space of vector-valued signals. Corresponding multichannel
(matrix) wavelets can be defined and their construction in terms of a very
efficient scheme is given. Some examples illustrate the nature of these matrix
scaling functions/wavelets.
