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 multidimensional systems. It is shown that the internally balanced realizations for denominator-separable n-dimensional digital systems can be obtained by solving certain coupled Lyapunov equations. The proposed balancing and order reduction technique is illustrated by applying it to obtain low-order approximations of Gaussian and Laplacian-Gaussian infinite-impulse-response filters. © 1993.
& Manickam, T.
(1993). Balanced realization of separable-denominator multidimensional systems. Linear Algebra and Its Applications, 188, 521-547.