We characterize the orthogonal frames and orthogonal multiwavelet frames in with matrix dilations of the form , where is an arbitrary expanding matrix with integer coefficients. Firstly, through two arbitrarily multiwavelet frames, we give a simple construction of a pair of orthogonal multiwavelet frames. Then, by using the unitary extension principle, we present an algorithm for the construction of arbitrarily many orthogonal multiwavelet tight frames. Finally, we give a general construction algorithm for orthogonal multiwavelet tight frames from a scaling function.
"Orthogonal Multiwavelet Frames in ." J. Appl. Math. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/846852