BALANCED REALIZATION OF SEPARABLE-DENOMINATOR MULTIDIMENSIONAL SYSTEMS

We present a general framework for internal balancing and model order reduction for an important class (separable denominator) of multidimen sional systems. It is shown that the internally balanced realizations for denominator-separable n-dimensional digital systems can be obtaine d by solving certain coupled Lyapunov equations. The proposed balancin g and order reduction technique is illustrated by applying it to obtai n low-order approximations of Gaussian and Laplacian-Gaussian infinite -impulse-response filters.