Balanced realization of separable-denominator multidimensional systems

Document Type

Article

Publication Date

1-1-1993

Abstract

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.

DOI

10.1016/0024-3795(93)90478-7

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