Reduction of wave linear repetitive processes to singular Roesser model form

Using the elementary operations algorithm, it is shown that a system matrix describing a wave discrete linear repetitive process can be reduced to that for a 2D singular Roesser model. The transformation linking the original polynomial system matrix with its associated 2D singular Roesser form is input-output equivalence. The nature of the resulting system matrix in singular form and the transformation involved are established.