TRANSFORMATION OF THE TRANSFER-FUNCTION VARIABLES OF THE SINGULAR N-DIMENSIONAL ROESSER MODEL

A singular Roesser model is presented for a non-causal n-dimensional (n-D) system described by an n-D transfer function with non-monic denominator. Transformations of the transfer function variables (inversion, multivariable bilinear transformation) have been used to transform the given polynomial to monic form. These transformations are also discussed in state-space description terms. Additionally, the matrix Q which relates the coefficients vector of the transformed polynomial to that of the original one is obtained using n-way matrix methods.